TW200827570A - Designing method of minute flow rate controller with entrance throttle groove - Google Patents
Designing method of minute flow rate controller with entrance throttle groove Download PDFInfo
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200827570 九、發明說明: 【發明所屬之技術領域】 本發明係關於用以控制液體或氣體之流量的流量控制 裝置,詳言之,其係關於控制微小尺寸等之極微小尺寸流 路、流體動作環境、反應器等之流體(液體或氣體)的微小 流量之微小流量控制裝置的設計方法。 【先前技術】 近年來,化學反應系統之微小化及積體化,作為合成 化學、分析化學、半導體產業及生物科技產業之新技術課 題而受矚目,被認為對免疫分析系統、環境分析系統、細 胞生化學實驗系統、化學氣相成長系統及合成化學實驗系 統等之化學反應控制之高精度化及效率化上扮演重要角 色。此種技術動向中,以反應容積係奈升(nanolitre)至微 升(microlitre)之微細空間之化學反應、以微反應器 (microreactor)為對象而達成反應收率之提高、反應時間之 縮短、環境負荷之減輕等為目的之新研究開發正推展。對 供應至此種微細空間之液體或氣體,必須具備既存技術所 未具有之微小且正確之流量控制。 習知’使用於流體之微小流置調整的闕之形式,通常 使用針閥型。針閥,因在閥之開放後流量會急劇增大,故 要當作供應至前述微細空間之流量(例如,對液體最大流量 係lOmL/miii〜ImL/min,對氣體係1〜〇_01secm之微小流量) 之調整機構使用則有困難,因此需要適合此種目的之新微 小流量控制技術開發。 5 200827570 與針闊型不同方式之微小流量控制閥的習知技術,已 揭示於日本特開2001 — 187977號(專利文獻1}及日本特開 2003 278934就(專利文獻2)。該習知技術之特徵均在於, 控制流體流量之節流槽係配置成圓㈣。 (專利文獻1)日本特開2001 - 187977號公報 (專利文獻2)日本特開2003 - 278934號公報 【發明内容】 _ 圖21係揭示於專利文獻1之習知流量控制閥的組裝分 解立體圖。閥本體以中心軸z為中心具備閥座11〇與閥體 1〇3,在閥座110與閥體1〇3之間配置形成有節流槽104 之金屬閥1〇2。在閥座110設置出口流路114,在閥體103 $成入口流路用槽部1 〇3a。流體經形成於閥體103之入口 流路用槽部103a,然後導入形成於金屬閥1〇2之節流槽 104 ’藉由以位於閥座110之出口流路114之軸z為中心 的旋轉角度控制流量,從形成於閥座之L字形出口流路i i 4 _ 導入至閥出口 114a。該閥座11()之旋轉係藉由配置於上部 之步進馬達來進行。 圖22係形成於圖21之金屬閥1〇2之節流槽1〇4的俯 視圖。以Z轴為中心於半徑Γ之圓弧上形成節流槽i 〇4, 具有其深度h係一定,其寬度W係具有前端部最大而越向 後端部逐漸變狹窄之形狀。在節流槽1〇4之始端位置,形 成連通於入口流路用槽部l〇3a(圖21)之貫穿孔113。從該 貝牙孔113導入之流體流量,藉由以形成於閥座11 〇之l 予形出口流路114之Z軸為中心的旋轉角度來控制。 6 200827570 因此,為了要將流體流量作微小調整,使閥座i! 0微 小旋轉則成為重要。但是,因旋轉所產生之圓周移位量係 與圓半徑及旋轉角度之積成正比,故若圓半徑係大時旋轉 角度量會相對變小。一般而言,不限於針閥,流量控制閥 之仏形’為了要精細地控制開閥直後之極小圓周移位量, 需要將旋轉角度精細地控制,但若圓半徑係大時必須更微 細調整旋轉角度,此乃表示微小流量控制變成更困難。另 面若圓半仕係小日守,要正確刻設此種圓弧狀節流槽 =反地變成困難。因此,在圓弧狀節流槽,圓半徑係必2 麦大而出現微小流量控制之困難性。 將從節流槽104之始端位置1〇4a至終端位置⑺扑的 長度設為L°,將從形成出口流路U4a之節流槽104之開 口截面U4b至節流槽之終端祕的長度設為L。將開口 部之長度L與其最大長纟L。之比設為l*。l*在Η之範 :變化,當閱直線移動時係表示升程之無維長度(亦稱為相 對仃程)。以下,將L*稱為無維升程(nft)。 本發明者’為要使微小流量控制裝置之閥開度與流量 面二倍:(即’流1特性)成為期望之特1生,應使節流槽之截 曲牙貝沿流路如何化〗隹^ # 7艾化進仃解析,並且調查流體之物理性 質、閥前後之壓力罢、f、、☆ i P机槽之截面形狀,此外,調查 截面形狀係長方形時,由 一 rating ^ ;槽之南度與縱橫比(aspect rati〇)、槽之長度等各種 面積之軸方 °十乡數之不同,出現於節流槽截 不貝 < 釉方向變化之特徵。 ^ 稱Λ鬥植以 ,、机置调整閥之流量特性亦 不冉马閥特性,此間鱗 、有線性特性與等百分比特性,通常 7 200827570 以賦與任-種特性之方式設計。將微小 量特性所具有之基本特徵,料與線性型 Π:。…表示,流體之物性值一::: 準’右黏㈣數變成此水之1G倍及2G倍時,為要使= ι±成為所需之線性型應^ ^ ^ ^ ^ ^ 變化。 仃使即机槽之截面積朝流動方向 、圖3係在白知型微小流量控制裝置,以節流槽之 為土準之無維長度L*(若在閥之全開時以L*=i之方式讲 疋槽之長度,L*則相當於無維升程)為橫軸,分別以任意 4置之截面積與槽之入口截面積的比(無維截面積A*),及 以閥之全開時之流量為基準之無維流量q* (體積流量比)為 縱軸的相關圖。節流槽截面之形狀係長方形,其全長l。係 L〇mm,南度hg係〇.5mm且保持一定,槽之縱橫比q在 節肌牝入口係1·5。又,閥之入口與出口之壓力差係 〇.〇〇lMPa(^f^ Bf 12mL/min) ° it t » 特性與等百分比特性中之任一種特性,假設開閥直後所產 生之G*(質量流量比··液體時與Q*相同)之值為G*g,其 倒數之1/ G% ’則相當於將該閥之流量調整能力以開閥直 後之流量倍數表示時的大小,將其稱為流量調整能力(range ability)(以下’表示為d。圖23係表示Ra=2〇之情形。 即流槽之截面積對無維升程並不是單調地變化,如圖23 所不會在之間形成具最大值之曲線,隨著黏度增 加形成具更急劇峯(peak)之曲線。一般趨勢而言,無維截 面積A*之最大值,係隨著槽深度之減少、及槽入口之縱 8 200827570 也、比之增加瓮大。此等事實係表示流量越小則A *之最大 口此,在微反應器(micr〇 react〇r)成為問題之 ’或此以下之極微小流量時,即使黏度比較低之 μ體亦有成為具顯著峯之曲線的性質。此種性質不僅會使 槽+困難,亦會隨著流路截面積之急擴大而導致流動 之:離’有使流動特性不穩定之可能性。X,對使用條件 ^ 以成閥知"性從線性特性型脫離之流量變化。以上 = 使闕特性係等百分比特性之情形亦同樣會出現 而成為問題。 福一另:方面二日本特開扇3 - 278934號(專利文獻2)所 =之’動流量控制閥係由上部閥與下部閥構成,藉由上 部闕之開閉施加0 @ i β _击 冰體昼力於下部閥來提高閥之密閉性。但 疋,因吳專利文獻1戶斤^ — 所揭不之電動流量控制閥在機構上係 同樣’故會有隨著流路截面積之I垆大而道功 剝離,使流動特性不#1::擴大而¥致流體流動之 ^ 〜疋專的上述問題點。本發明人為要 、古 之、、、口果,想出於節流槽之前段賦與 >瓜動阻力,而根據流體與人 > ^ m 予 _ V出設計賦與此流動阻力 之即流槽構造的方法,而完成本發明。 本發明之目的在於, & 旦 馬要t疋且正確地控制流體之微 小 >瓜$ ’不會如圖23 _ 厅不形成動之急擴大部導致流動 之不%疋’而貫現所需之閱特性 控制裝置的設計方法,^ 徒供種镟小流置 大③妓小、流量控制裝i,將發揮適當 大之々丨L動阻力的入口铭法 .t附置於主節流槽之入口側,藉 此,在使主郎流槽之截 甸積朝流動方向單調地變化之條件 9 200827570 下’能實現期望之閥特性。 本發明係為要解決上述問題而成者,其第1形態係一 種具入口節流槽之微小流量控制裝置的設計方法,該微小 流量控制裝置,係具備:用以導入流體之流入路;閥體, 形成使從該流入路導入之流體從始端朝終端流動之主節流 槽;流量調整構件,能使該主節流槽密閉至任意位置;流 體流出口 ’藉由該流量調整構件以該主節流槽之任意截面 _ 形成開口;以及流出路,用以導出從該流體流出口流出之 流體,其特徵在於:於該主節流槽之始端位置設置連通流 動於W之入口節流槽,根據由流動於該入口節流槽及主節 流槽之流體之運動量方程式導出的關係式,以發揮期望之 流動阻力之方式來決定入口節流槽之尺寸。 本發明之第2形態的具入口節流槽之微小流量控制裝 置的设什方法’在前述第1形態中,該主節流槽之截面積 從始朝終端單調地減少時,以隨著該流體流出口之位置 _ 從始端朝終端移動,使從該流體流出口流出之流體流量單 調地減少之方式,來決定該入口節流槽之尺寸。 本發明之第3形態的具入口節流槽之微小流量控制裝 置的設計方法,係在前述第1或第2形態中,該流體之運 動量方程式能以下式表示: u p (du/dz) + ( ^ /Dr) (2/2) u2 p +dP/dz=0 (在此,u係流迷,/0係密度,z係流體之流動方向座標, λ係摩擦係數,Dii係節流槽截面積之等價直徑,P係壓力)。 本發明之第4形態的具入口節流槽之微小流量控制裝 10 200827570 置的設計方法,係在前述第3形態中,該運動量方程式根 據下式運算: u=G/( p A)及入 44 μ A/(GDh) 1 (在此’ G係質量流量,ρ係流體之密度,Α係流體流出口 之截面積,Μ係流體之黏性係數)。 本發明之第5形態的具入口節流槽之微小流量控制裝 置的设汁方法,係在前述第4形態中,設該主節流槽之終 _ 知位置為L=〇,流體流出口之位置為l=L,始端位置為 L==L〇,流體流出口位於L=L〇時之流量為Gm,流體流出口 位於 L=L 時之流量為 〇, L*=L/Lg,G*=G/GM,L*=l 之 (d G*/d L*)之值為(d G*/d L*)v=1時,以下式賦與入口節 流槽之臨界長度lec : LEC= L0/(dG* /dL* 。 本發明之第6形態的具入口節流槽之微小流量控制裝 置的設計方法,係在前述第5形態中,該流體係非壓縮性 • 流體’且主節流槽之任意截面形狀係彼此相似形時,對閥 ? 4寸性能以G* = L*表示之線性型的臨界長度lec為: LEC= L0 〇 Γ 本發明之第7形態的具入口節流槽之微小流量控制裝 置的設計方法,係在前述第4形態中,設該主節流槽之終 端位置為L=〇,流體流出口之位置為L=L,始端位置為 L=L0,流體流出口位於L=L。時之流量為Gm,流體流出口 位於時之流量為G,L*=L/L〇, G*=g/Gm,該主節流 , 槽之任思截面形狀係彼此非相似形,且閥特性為線性型 200827570 時,以下式賦與該臨界長度Lec : LEc= L0/(dG* /dL·* ) 〇 本發明之第8形態的具入口節流槽之微小流 置的設*計方法’係在前述第5或第7形態中,閥特性係: G*= G〇*+(1 _ G〇*} L* 、200827570 IX. Description of the Invention: [Technical Field] The present invention relates to a flow control device for controlling the flow rate of a liquid or a gas, and more particularly, relates to a very small-sized flow path and fluid action for controlling minute sizes and the like. A method of designing a small flow rate control device for a small flow rate of a fluid (liquid or gas) such as an environment or a reactor. [Prior Art] In recent years, the miniaturization and integration of chemical reaction systems have attracted attention as new technical issues in the fields of synthetic chemistry, analytical chemistry, semiconductor industry, and biotechnology industry. It is considered to be an immunoassay system, an environmental analysis system, The biochemical reaction system, the chemical vapor phase growth system, and the synthetic chemical experiment system play an important role in the high precision and efficiency of chemical reaction control. In such a technical trend, a chemical reaction in a micropore of a nanovolre to a microlitre is achieved, and a reaction yield is improved by a microreactor, and a reaction time is shortened. New research and development for the purpose of reducing the environmental load is progressing. For liquids or gases supplied to such a small space, it must have a small and correct flow control that is not available in existing technologies. Conventionally, a needle valve type is generally used in the form of a crucible for the minute flow adjustment of a fluid. Needle valve, because the flow rate will increase sharply after the opening of the valve, it should be regarded as the flow rate to the above-mentioned fine space (for example, the maximum flow rate to the liquid is lOmL/miii~ImL/min, the gas system 1~〇_01secm The use of the adjustment mechanism of the small flow rate is difficult, so the development of new micro flow control technology suitable for this purpose is required. 5 200827570 A conventional technique of a micro flow rate control valve of a different type from the needle type is disclosed in Japanese Laid-Open Patent Publication No. 2001-187977 (Patent Document 1) and Japanese Patent Laid-Open No. 2003-278934 (Patent Document 2). In the meantime, the throttle groove of the control fluid flow rate is arranged in a circle (4). [Patent Document 1] Japanese Laid-Open Patent Publication No. 2001-187977 (Patent Document 2) Japanese Laid-Open Patent Publication No. 2003-278934 21 is an exploded perspective view showing the assembly of the conventional flow control valve of Patent Document 1. The valve body has a valve seat 11A and a valve body 1〇3 centered on the central axis z, between the valve seat 110 and the valve body 1〇3. The metal valve 1〇2 in which the throttle groove 104 is formed is disposed. The outlet flow path 114 is provided in the valve seat 110, and the valve body 103 is formed as the inlet flow path groove portion 1 〇3a. The fluid flows through the inlet flow formed in the valve body 103. The road groove portion 103a is then introduced into the throttle groove 104' formed in the metal valve 1〇2 to control the flow rate by a rotation angle centering on the axis z of the outlet flow path 114 of the valve seat 110, and is formed in the valve seat. The L-shaped outlet flow path ii 4 _ is introduced to the valve outlet 114a. The valve seat 11 () The rotation system is performed by a stepping motor disposed at the upper portion. Fig. 22 is a plan view of the throttle groove 1〇4 formed in the metal valve 1〇2 of Fig. 21. The Z-axis is formed on the arc of the radius Γ. The throttle groove i 〇4 has a constant depth h, and has a width W which has a shape in which the front end portion is the largest and gradually narrows toward the rear end portion. At the beginning end of the throttle groove 1〇4, the inlet flow path is formed. The through hole 113 of the groove portion 10a (Fig. 21) is used. The flow rate of the fluid introduced from the shell hole 113 is rotated about the Z axis formed by the pre-shaped outlet flow path 114 formed in the valve seat 11 The angle is controlled. 6 200827570 Therefore, in order to make a small adjustment of the fluid flow rate, it is important to make the valve seat i! 0 slightly rotate. However, the amount of circumferential displacement caused by the rotation is combined with the radius of the circle and the angle of rotation. Proportional, so if the radius of the circle is large, the amount of rotation will be relatively small. Generally speaking, it is not limited to the needle valve, and the shape of the flow control valve is 'in order to finely control the extremely small circumferential displacement after the valve is opened. The rotation angle is finely controlled, but if the radius of the circle is large It is necessary to adjust the rotation angle more finely, which means that the micro flow control becomes more difficult. If the other half is a small day, it is necessary to correctly engrave such an arc-shaped throttle groove = it becomes difficult to reverse the ground. Therefore, in the circle The arc-shaped throttle groove, the radius of the circle must be 2 large, and the difficulty of micro flow control is difficult. The length from the start position 1〇4a of the throttle groove 104 to the end position (7) is set to L°, and the exit will be formed. The length of the opening section U4b of the throttle groove 104 of the flow path U4a to the terminal end of the throttle groove is set to L. The length L of the opening is formed to be the maximum length L. The ratio is set to l*. l* is in the range of :: change, when reading a straight line, it means the dimensionless length of the lift (also known as the relative process). Hereinafter, L* is referred to as a non-dimensional lift (nft). The inventor's need to double the valve opening degree of the micro flow control device and the flow surface: (that is, the 'flow 1 characteristic') becomes a desired special condition, and how the throttle groove along the flow path should be made.隹^ # 7 Aihua Jinyu analysis, and investigate the physical properties of the fluid, the pressure before and after the valve, f, ☆ i P machine slot cross-sectional shape, in addition, when investigating the cross-sectional shape of the rectangle, by a rating ^; slot The difference between the south angle and the aspect ratio (the aspect rati〇) and the length of the groove is the difference between the axis of the various areas and the number of the ten townships, which occurs in the throttle groove and the glaze direction change. ^ It is said that the flow characteristics of the machine adjustment valve are not the characteristics of the horse valve. The scale, linearity and equal percentage characteristics are usually designed in the way of assigning any kind of characteristics. The basic characteristics of the tiny quantity characteristics are expected to be linear. ... indicates that the physical property value of the fluid is one::: When the right-hand (four) number becomes 1G times and 2G times of the water, the change of = ι± becomes the required linear type ^ ^ ^ ^ ^ ^.仃Let the cross-sectional area of the impeller slot toward the flow direction, Figure 3 is the Baizhi-type micro-flow control device, and the non-dimensional length L* of the throttling groove is used. (If the valve is fully open, L*=i The way to say the length of the gutter, L* is equivalent to the non-dimensional lift) is the horizontal axis, and the ratio of the cross-sectional area of any four places to the entrance cross-sectional area of the groove (no dimension cross-sectional area A*), and the valve The non-dimensional flow rate q* (volume flow ratio) based on the flow rate at full opening is the correlation diagram of the vertical axis. The shape of the cross section of the throttle groove is a rectangle with a total length l. The system is L〇mm, the south degree hg system is 〇5mm and is kept constant, and the aspect ratio q of the groove is 1.5 at the entrance point of the tendon tendon. Moreover, the pressure difference between the inlet and outlet of the valve is 〇.〇〇lMPa(^f^ Bf 12mL/min) ° it t » any of the characteristics and the equal percentage characteristics, assuming that the G* generated after the valve is opened ( The mass flow ratio is the same as Q* when the liquid is the same as the value of G*g, and the 1/G% of the reciprocal is equivalent to the size when the flow rate adjustment capability of the valve is expressed by the flow multiple after opening the valve. It is called the range ability (the following 'is expressed as d. Figure 23 shows the situation of Ra=2〇. That is, the cross-sectional area of the flow cell does not change monotonically for the non-dimensional lift, as shown in Figure 23. A curve with a maximum value is formed between them, and a curve with a sharper peak is formed as the viscosity increases. In general, the maximum value of the dimension-free cross-sectional area A* is reduced with the groove depth, and the groove The vertical of the entrance 8 200827570 is also larger than the increase. These facts indicate that the smaller the flow rate, the larger the A*, the microreactor (micr〇react〇r) becomes a problem or the following At the time of flow rate, even a μ body having a relatively low viscosity has a characteristic of having a sharp peak curve. The nature will not only make the tank + difficult, but also cause the flow to flow with the rapid expansion of the cross-sectional area of the flow path: from the 'there is the possibility of making the flow characteristics unstable. X, the use condition ^ to become a valve" The linear characteristic type is separated from the flow rate change. The above = the case where the 阙 characteristic is equal to the percentage characteristic also occurs and becomes a problem. Fu Yi another: Aspect 2 Japanese special open fan 3 - 278934 (Patent Document 2) = ' The dynamic flow control valve is composed of an upper valve and a lower valve, and the sealing function of the valve is improved by applying 0 @ i β _ ice body force to the lower valve by opening and closing of the upper jaw. However, since the patent document 1 ^ — The electric flow control valve that is not revealed is the same in the mechanism. Therefore, the flow is deviated as the cross-sectional area of the flow path is large, so that the flow characteristics are not #1:: expand and cause fluid flow. ~ 疋 的 上述 。 。 。 。 。 。 。 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本 本Designing a method of imparting flow resistance to the flow cell construction, and completing the method The purpose of the present invention is that &Dan Ma wants to t疋 and correctly control the tinyness of the fluid> melon $' will not be as shown in Fig. 23 _ the hall does not form an urgent expansion to cause the flow to be less than 疋The design method of the required characteristic control device is now required, and the input method for the appropriate large-scale 动L dynamic resistance is applied to the main section. The inlet side of the flow cell, whereby the desired valve characteristics can be achieved under the condition that the tip of the main flow cell changes monotonically in the direction of flow. The present invention is to solve the above problems, and the first aspect is a method for designing a micro flow rate control device having an inlet throttle groove, the micro flow rate control device having an inflow path for introducing a fluid; a main throttling groove for flowing a fluid introduced from the inflow path from a starting end to a terminal; a flow regulating member capable of sealing the main throttling groove to an arbitrary position; and a fluid outflow port by the flow regulating member Any section of the main throttle groove _ forming an opening; and an outflow path for guiding the fluid flowing out from the fluid outflow port, wherein a flow restricting flow is provided at the beginning end of the main throttle groove The size of the inlet throttle groove is determined in such a manner that the desired flow resistance is exerted based on the relationship derived from the equation of the amount of motion of the fluid flowing through the inlet throttle groove and the main throttle groove. According to a second aspect of the present invention, in the first aspect, the cross-sectional area of the main throttle groove is monotonously decreased from the beginning to the end, and The position of the fluid outflow port is determined by moving the starting end toward the terminal and monotonically reducing the flow rate of the fluid flowing out of the fluid outflow port. According to a third aspect of the present invention, in the first or second aspect, the fluid amount equation of the fluid can be expressed by the following formula: up (du/dz) + ( ^ /Dr) (2/2) u2 p +dP/dz=0 (here, u system flow fan, /0 system density, flow direction coordinate of z-system fluid, λ system friction coefficient, Dii system throttle groove The equivalent diameter of the area, P system pressure). According to a fourth aspect of the present invention, in a third aspect of the present invention, in the third aspect, the motion amount equation is calculated according to the following equation: u=G/(p A) and 44 μ A/(GDh) 1 (In this case, G-mass flow rate, density of ρ-type fluid, cross-sectional area of lanthanide fluid outflow, viscosity coefficient of lanthanide fluid). According to a fifth aspect of the present invention, in the fourth aspect of the present invention, in the fourth aspect, the final throttle position of the main throttle groove is L=〇, and the fluid flow outlet is The position is l=L, the starting position is L==L〇, the flow rate is Lm when the fluid flow outlet is at L=L〇, and the flow rate is 〇 when the fluid flow outlet is at L=L, L*=L/Lg, G *=G/GM, L*=l The value of (d G*/d L*) is (d G*/d L*)v=1, the following formula is assigned to the critical length lec of the inlet throttle: LEC= L0/(dG* /dL*) The method for designing the micro flow rate control device with the inlet throttle groove according to the sixth aspect of the present invention is the non-compressibility fluid of the flow system When the arbitrary cross-sectional shapes of the main throttle grooves are similar to each other, the critical length lec of the linear type indicated by G* = L* for the valve 4 inch performance is: LEC = L0 〇Γ The seventh aspect of the present invention has an inlet In the fourth aspect of the present invention, the end position of the main throttle groove is L=〇, the position of the fluid outflow port is L=L, and the start position is L=L0. Fluid outflow When L=L, the flow rate is Gm, and the flow rate of the fluid flow outlet is G, L*=L/L〇, G*=g/Gm, and the main throttling, the cross-sectional shape of the groove is different from each other. Similar to the shape, and the valve characteristic is linear type 200827570, the following formula gives the critical length Lec: LEc= L0/(dG* /dL·*) 微小The eighth embodiment of the present invention has a minute flow of the inlet throttle groove In the fifth or seventh aspect, the valve characteristic is: G*= G〇*+(1 _ G〇*} L* ,
"EC"EC
(在此,係L*=0之G*值)表示之線性型,且以〇 * —1/Ra(1SRa$ °°)表示時,以下式賦與該臨界長度L(here, the G* value of L*=0) indicates a linear type, and when expressed by 〇*-1/Ra(1SRa$°°), the following formula assigns the critical length L
L L“(1 - 1/ Ra)L L"(1 - 1/ Ra)
EC 本卷明之第9形態的具入口節流槽之微小流量控制裝 置的設計方法,係在前述第5或第7形態巾,閥特性、 G*= G0*(i-l> 、 (*在此,Gg*係L*=〇之G*值)表示之等百分比型,且以g。 1/RA(1 $ RAg 〇〇 )表示時,以下式賦與該臨界長度he : Lec - L0/ in RA。 本皂明之第1 〇形態的具入口節流槽之微小流量控制裝 置的°又汁方法,係在前述第1〜4形態中任一形態,具備該 入口節/;,L槽之截面積朝該主節流槽之始端位置單調地增加 的入口節流槽。 本發明之第11形態的具入口節流槽之微小流量控制裝 置的設計方法,係在前述第1〇形態中,該入口節流槽之 戴面積AE(Z)沿流動方向座標z呈線性增加,以下式賦與該 截面積AE(Z):The design method of the micro flow rate control device with an inlet throttle groove according to the ninth aspect of the present invention is the fifth or seventh aspect of the invention, the valve characteristic, G*=G0*(i-l>, (* Thus, the Gg* is the equivalent of the G* value of L*=〇, and is expressed by g. 1/RA(1 $ RAg 〇〇), the following formula is assigned to the critical length he : Lec - L0/ In the method of the first flow rate control device of the first aspect of the present invention, the method of the first embodiment of the first to fourth aspects is provided with the inlet section/; The inlet throttle groove whose cross-sectional area is monotonously increased toward the start position of the main throttle groove. The design method of the minute flow rate control device having the inlet throttle groove according to the eleventh aspect of the present invention is the first aspect. The wearing area AE(Z) of the inlet throttle groove increases linearly along the flow direction coordinate z, and the following formula assigns the cross-sectional area AE(Z):
Ae(z)-> aeq + { (Ae〇 ~ Aeq)/Leq } . z (在此,AEQ係入口節流槽之始端截面積,係最接近該 12 200827570 主師"il槽之始端位置之入口節流槽之終端截面積’ LEQ係 入口節流槽之長度,z係流體之流動方向座標)。 本發明之第12形態的具入口節流槽之微小流量控制裝 置的設計方法,係在前述第11形態中,設該主節流槽之 終端位置為L=〇,始端位置為l=Lg,流體流出口位於L==〇 時之流量為G〇,流體流出口位於L=L。時之流量為GM,G〇 *=G0/GM,RA=l/ g0*,該入口節流槽内之摩擦壓力下降, 為與具有該臨界長度LEC之一樣截面積之入口節流槽所裏 現的摩擦壓力下降等價之大小,具有如上所得之下式入口 節流槽長度:Ae(z)-> aeq + { (Ae〇~ Aeq)/Leq } . z (here, the cross-sectional area at the beginning of the AEQ inlet chute is the closest to the beginning of the 12 200827570 main division "il trough The terminal cross-sectional area of the inlet chute of the position 'LEQ is the length of the inlet chute, the flow direction coordinate of the z-system fluid). According to a twelfth aspect of the present invention, in the eleventh aspect of the present invention, the end position of the main throttle groove is L=〇, and the start position is l=Lg. The fluid flow outlet is located at L == 之 when the flow rate is G 〇 and the fluid flow outlet is at L = L. The flow rate is GM, G〇*=G0/GM, RA=l/g0*, and the friction pressure in the inlet throttle is lowered, which is the same as the inlet section of the same length as the LEC. The current frictional pressure drops by the equivalent size and has the following inlet throttle slot length:
Leq=( Aeq / aeo) { L〇/ (1 - G〇* ) } (Aeq / AE〇) { L。/ (1 - 1/ RA) }。 依本發明之第1形態,因根據流動節流槽内之流體之 運動里方私式導出的關係式來決定入口節流槽(設置於微小 /瓜里技制衣置之主節流槽始端位置且連通流動於前)的尺 寸,故藉由配設本發明之設計方法所設計之入口節流槽, 能具有單純之構造,且決定實現期望之閥特性的主節流槽 截面之尺寸。即,由於根據前述關係式來決定入口節流槽(能 發揮適合期望之閥特性之流動阻力)之尺寸,因此,為了實 ,期望之_性,$需要將主節流槽之截面積朝轴方向急 劇地或微妙地變化,而能決定朝 疋朝釉方向早調地變化的主節 流槽截面積之尺寸。又,決定 4〆丄 Λ八口即流槽之尺寸之關係 式’係在賦與期望之閥特性之停 W道山 ”寸 餘件下,能由前述運動量方 私式V出。又,藉由配設以本發 &乃之设計方法設計之入口 13 200827570 節流槽,能以具備單純構造之主節流槽的微小流量控制裝 置,簡易地進行高精度之微小流量控1制。再者,藉由該主 :流槽具有單純構造,能容易製造高精度之微小流量控制 I置,能降低微小流量控制裝置之製造成本。 抑依本t月之第2形態,藉由形成截面積從始端朝終端 單周地減y之主節流槽的微小流量控制裝置,能高精度地 凋整則述流置。如前述,在習知之微小流量控制裝置,為 了藉由移動流量調整構件來實現流量之單調減少,必須使 主1流槽之始端附近急劇地縮短,但是,藉由連通地設置 本1月之入口筇流槽,能以截面積單調地變化之主節流槽 貫現期望之流量特性。前述截面積單調地減少之主節流槽 系谷易开》成於该閥體,能以高精度加工所設計之主節流槽 形狀。因此,能提供高精度之微小流量控制裝置,並且能 將製造上之良品率提高甚多。 依本發明之第3形態,藉由適用前述流體之運動量方 程式: u P (dU/dz)+( λ /DH) (1/2) V p +dp/dz=〇 …⑴ (在此,u係流速,p係密度,z係流體之流動方向座標, 係摩擦係數,DH係節流槽截面積之等價直徑,p係壓力), 月匕導出前述關係式。在此,對具有任意截面形狀之節流槽, 使用以=4 A/U定義之等價直徑Dw。 依本發明之第4形態,因以 Α) .................................... 表示流速U,故前述關係式能將節流槽截面積A及質量流 14 200827570 量G當作變數或參數包含,能明確表示期望之閥特性與入 口節流槽尺寸之關係。再者,藉由將前述節流槽内之流動 視為層流,前述摩擦係數λ則僅依靠流體之雷諾數 (Reynold’s number)Re :Leq=( Aeq / aeo) { L〇/ (1 - G〇* ) } (Aeq / AE〇) { L. / (1 - 1/ RA) }. According to the first aspect of the present invention, the inlet throttle groove is determined based on the relational expression derived from the movement of the fluid in the flow throttle groove (the main throttle groove is provided at the beginning of the micro/guai technology garment installation). Since the position is connected to the size of the front flow, the inlet throttle groove designed by the design method of the present invention can have a simple structure and determine the size of the main throttle groove cross section for realizing the desired valve characteristics. In other words, since the size of the inlet throttle groove (which can exhibit the flow resistance suitable for the desired valve characteristic) is determined according to the above relational expression, it is necessary to make the cross-sectional area of the main throttle groove toward the axis. The direction changes sharply or subtly, and it is possible to determine the size of the cross-sectional area of the main throttle that changes early in the direction of the glaze toward the glaze. In addition, the relationship between the size of the 4th and 8th, that is, the size of the flow cell, is based on the remaining W-mountain of the desired valve characteristics, and can be released by the aforementioned exercise amount. The inlet 13 200827570 throttle groove designed by the design method of the present invention can easily perform a high-precision micro flow control system with a small flow rate control device having a simple throttle groove. Furthermore, since the main flow cell has a simple structure, it is possible to easily manufacture a high-precision micro flow control I, and it is possible to reduce the manufacturing cost of the micro flow control device. The micro flow rate control device that reduces the main throttle groove from the beginning to the end of the terminal by a single cycle can accurately flow the flow. As described above, in the conventional micro flow rate control device, in order to move the flow rate adjusting member In order to achieve a monotonous reduction in flow rate, the vicinity of the beginning of the main 1 flow cell must be sharply shortened. However, by providing the inlet chute groove of this month in communication, the main throttling groove which can be monotonously changed in cross-sectional area can be realized. Expected flow The main throttle groove is monotonically reduced, and the main throttle groove is formed in the valve body, and the designed main throttle groove shape can be processed with high precision. Therefore, a high-precision micro flow control device can be provided, and According to the third aspect of the present invention, the equation of motion of the fluid is applied: u P (dU/dz) + ( λ /DH) (1/2) V p +dp /dz=〇...(1) (here, u-flow velocity, p-system density, flow direction coordinate of z-system fluid, coefficient of friction, equivalent diameter of cross-sectional area of DH throttle groove, p-system pressure), In the above relational expression, the equivalent diameter Dw defined by =4 A/U is used for the throttle groove having an arbitrary cross-sectional shape. According to the fourth aspect of the present invention, 因)). ............................. Indicates the flow velocity U, so the above relationship can throttle the cross-sectional area A and the mass flow 14 200827570 The quantity G is included as a variable or a parameter, and can clearly indicate the relationship between the desired valve characteristic and the size of the inlet throttle groove. Furthermore, by considering the flow in the aforementioned throttle groove as laminar flow, the friction coefficient λ is only dependent on The Reynolds number of the fluid (Reynold's number) Re:
λ =64/ Re ............... 在此,雷諾數以下式定義: Re=DH u/( β / ρ )…·, 因此,成為: (3) (4) λ =64# ............................... 而能容易導出前述摩擦係數入。 依本發明之第5形態,設前述主節流槽之終端位置為 L-0,流體流出口之位置為L=L,始端位置為卜、,前 L=^之主節流槽截面積為A,流體流出口位於L= L〇時之 流量為GM,流體流出口位於L=L時之流量為°才 G* =G/GM,L*叫之(犯*/d L* )之值設為(犯*以時❶, (5)λ = 64 / Re ............... Here, the Reynolds number is defined by the following formula: Re = DH u / ( β / ρ )...·, therefore, becomes: (3) ( 4) λ = 64# ............................... The above friction coefficient can be easily derived. According to a fifth aspect of the present invention, the end position of the main throttle groove is L-0, the position of the fluid outflow port is L=L, the start position is b, and the cross-sectional area of the main throttle groove of the front L=^ is A, the flow rate of the fluid outflow outlet at L=L〇 is GM, and the flow rate of the fluid outflow outlet at L=L is °G*=G/GM, and L* is called (off*/d L*) Set to (make *time, (, (5)
JECJEC
VU.VJ 賦與入口節流槽之於 炙^界長度he,在期望之閥特性 由解開前述運飭旦士下猎VU.VJ is assigned to the inlet throttling groove at the length of the he^ boundary, in the desired valve characteristics, by unraveling the aforementioned hunters
* Μ/Λ、 程式能決定主節流槽之無維截面積A* Μ / Λ, the program can determine the dimensionless cross-sectional area of the main throttle slot A
* =(A/AE)。如此% π ^ p啤囬檟A 雄一 + 之八具有在L*=1成為G*=A*, ^ 月軸方向單調地變化之特徵。此種3 ϋ 不論流體有盔懕給沾 _ 禋叹计方法, …、墊、、、佰性、卽流槽截面形狀是 形、且閥特性县不姑t 6朝釉方向相似 e太π 型或等百分比型’均能適用。 依本發明之楚 m 形態,前述流體係非壓縮性流體,主 15 200827570 節流槽之任意截面形处“ 1 *主- 狀係彼此相似形時,對閥特性以Γ*=τ 表不之線性型的臨界長度lec賦與* = (A/AE). Thus, the % π ^ p beer back 槚 A 雄一 + 八 has the characteristic that the L*=1 becomes G*=A*, ^ the moon axis direction changes monotonically. This kind of 3 不论 regardless of the fluid has a helmet 懕 _ 禋 禋 方法 , ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋 禋Or equal percentage type can be applied. According to the form of the invention, the flow system is a non-compressible fluid, and the arbitrary cross-sectional shape of the main 15 200827570 throttle groove is "1 * the main-like system is similar to each other, and the valve characteristic is represented by Γ*=τ Linear type critical length lec
Lec=L ‘ ⑺ 藉由使A*=L*,能實§ * … E ^ 現G <之閥特性。若對-凡宁A英 長度LEC為LEC=L之入于口又疋臨界 所構成之流路,適用俞 主即k槽 節流槽之盔維截而接Λ* 作為閥特性與主 …维截面積Α*之關係,能導ώ G * 因此,設定前述入口節产 A — L 。 槽之截面尺寸以成為A:_= Lec=l。’藉由將前述主節流 為流體流出口之二童之方式決定,能將流量G成 微小流量倍的單純閥特性,賦與前述 依本發明之第/Γ能心丁—兩精度之微小流量控制。Lec=L ‘ (7) By making A*=L*, it is possible to implement § * ... E ^ to the valve characteristics of G < If the length of the pair-Fanning A-LEC is LEC=L, the flow path formed by the entrance and the threshold is applied to the helmet of the k-slot throttle groove and the 维* is used as the valve characteristic and the main dimension. The relationship of the cross-sectional area Α* can lead to G*. Therefore, the aforementioned inlet production A-L is set. The cross-sectional dimension of the groove is such that it becomes A:_= Lec=l. 'The simple valve characteristic that can reduce the flow rate G to a small flow rate by the above-mentioned main throttle is the two-child flow of the fluid flow outlet, and the above-mentioned flow control.
_,流體流出口之位置;’广前述主節流槽之終端位置為 、ώ山 罝為L=L,始端位置為L= L 流出口位於L= L。時之产旦先 ° ,瓜體_, the position of the fluid outflow port; 'the end position of the main throttling groove is L, L is L, L is L, L is L = L, and the outflow is L = L. When the time comes, the first time, the body
時之流量為G,L*=L:T里為〜,流體流出口位於L=L 任音荔而> G ’ G * =G/GM,前述主節流槽之 W >史係彼此非相似形,且閥特性係線性時,以 LEc=:L/(dG* /d L) _________ 賦與前述臨界長度L — () ^ ^ . , EC,轎由在期望之閥特性下解開前述 運動里方程式能決定朝 維截面積A*。 方向早調地變化之主節流槽之無 型時依本發明之第8形態,當閱特性係以下式表示之線性 G*= G〇*+(1 一 G *) 因以 ) ..................(9) 16 200827570 L__EC=1/L〇+(1-1/R^> ............ (1〇) 賦與前述臨界長度L 故 τ % 、奴瓦 EC 、要賦與則述主節流槽之長度 Μ Z㈣能力RaH簡易地決定賦與前述線性型之 二口節流槽之臨界長度。無維…*。係相當於 闊::篁調整能力以開闊直後之流量倍數表示時的大 一々’L里調整能力Ra,以G*0之倒數1/ G*0*定義,係表 不全閉狀態(L*=0)附近之閥特性特徵之量。 ’、The flow rate is G, L*=L:T is ~, the fluid outlet is located at L=L, and G> G 'G*=G/GM, and the main throttle is W> When the valve characteristics are linear, the critical length L - () ^ ^ . is assigned to LEc=:L/(dG* /d L) _________ , EC, the car is unwound under the desired valve characteristics. The equation in the aforementioned motion can determine the cross-sectional area A*. According to the eighth aspect of the present invention, when the main throttle groove is changed in the direction of the early change, the linear characteristic G*=G〇*+(1−G*) is expressed by the following equation... ...............(9) 16 200827570 L__EC=1/L〇+(1-1/R^> ............ (1 〇) Given the above-mentioned critical length L, τ % , Nuwa EC, and the length of the main throttling groove Μ Z (4) The ability RaH simply determines the critical length of the two-dimensional throttling groove of the linear type. Dimensions...*. Equivalent to width::篁Adjustment ability to adjust the capacity of the straight line after the straight line 々 'L adjustment ability Ra, defined by the reciprocal of G*0 1 / G * 0 *, the table is not fully closed (L*=0) The amount of characteristic characteristics of the valve nearby.
依本發明之第9形態,當閥特性係以 G* ==G0* (κ* ) ......... ··· =之等百分比型一值:cv爲 (=RA $ 〇〇 )表示時,因以 LEC = L°/lnRA .............................. (12) 賦舁刖述界長度lec ’故能決定實現等百分比型之閥特 性的入口節流槽之長度。 依本發明之第10形態,當前述入口節流槽之終端位置 之截面積係同-時,藉由使人口節流槽之截面積朝前述主 節流槽之始端位置單調地增加,gp,藉由朝人口節流槽之 入:單調地減少,因能增大前述人口節流槽之流動阻力, 故能縮短前述人口節流槽之長度。@A,能使微小流量控 制裝置小型化。 依本發明之第u形態,由於前述入口節流槽之截面積 沿流動方向座標z呈線性增加,以下式賦與前述截面積: Ae(z)= Aeq + { (Ae〇_ Aeq)/Leq} ·ζ .........(13) 因此能增大丽述入口節流槽之流動阻力,並且能容易估計 17 200827570 該入口節流槽之流體壓力損失。即,能簡易決定賦與期望 之閥特性的入口節流槽之尺寸。 依本發明之第12形態,因以According to the ninth aspect of the present invention, when the valve characteristic is a percentage value of G* == G0* (κ* ) ....., the percentage value: cv is (=RA $ 〇 〇) When expressing, because LEC = L°/lnRA ........................ (12) The length of the boundary, lec ', determines the length of the inlet orifice that achieves the valve characteristics of the equal percentage type. According to a tenth aspect of the present invention, when the cross-sectional area of the end position of the inlet throttle groove is the same, the cross-sectional area of the population throttle groove is monotonously increased toward the start position of the main throttle groove, gp, By entering the population throttling trough: monotonously reducing, the flow resistance of the aforementioned population throttling trough can be increased, so that the length of the aforementioned population throttling trough can be shortened. @A, the micro flow control device can be miniaturized. According to the u-th aspect of the invention, since the cross-sectional area of the inlet throttle groove increases linearly along the flow direction coordinate z, the following equation gives the cross-sectional area: Ae(z) = Aeq + { (Ae〇_ Aeq)/Leq } ·ζ .........(13) Therefore, the flow resistance of the inlet throttle groove can be increased, and the fluid pressure loss of the inlet throttle groove can be easily estimated 17 200827570. That is, the size of the inlet throttle groove that gives the desired valve characteristics can be easily determined. According to the twelfth aspect of the present invention,
Aeq / Aeo) { L0/ (1 - G〇* ) } =(AEq / AE。){ L0/ (1 - 1 / RA) } ......... (14) 賦與前述入口節流槽之長度,故能容易決定將線性型之閥 特性賦與微小流量控制裝置的入口節流槽之長度。 $ 【實施方式】 圖1係本發明之微小流量控制裝置的概略說明圖。微 小流量控制裝置之基本構造,係具備形成有節流槽4之閥 體2與滑動於該閥體2上面之流量調整滑件。前述節流 槽4具備主節流槽6與入口節流槽8,藉由前述流量調整 /月件10滑接於閥體上面,使前述主節流槽6與入口節流 槽8當作流路。當前述流量調整滑件丨〇位於閥體2上面 之滑接位置10a時,從流入路12流入之流體,從流入部15 _ 進節//IL槽8 ’經主節流槽6從流體流出口 2 0流出, k机出邛22流入流出路丨4。藉由前述流量調整滑件1 〇朝 則頭10b之方向滑動,使前述主節流槽6之長度變化而調 整流體之流量。 六2 2係本發明之微小流量控制裝置的概略截面圖。前 述f量調整滑件1〇,滑接於閥體2上面而能在滑接範圍24 内攸王開位置24a至全閉位置24b移動自如。雖未圖示, 在诞小机夏控制裝置,附設按照設定流量使前述流量調整 /月 之位置移動的驅動機構,該驅動機構能使用步進 18 200827570 馬達或壓電元件等所構成之微動控制機構。 圖3係本發明之微小流量控制裝置在全開狀態時的概 略截面圖。當前述流量調整滑件1 〇位於前述滑接範圍24 内之全開位置24a時,前述流體流出口 20之截面積成為最 大’從流出部22供應最大流量至流出路14。Aeq / Aeo) { L0/ (1 - G〇* ) } =(AEq / AE.){ L0/ (1 - 1 / RA) } ......... (14) Assign the aforementioned entry section Since the length of the flow cell is such that it is easy to determine the length of the linear valve characteristic and the length of the inlet throttle groove of the minute flow control device. [Embodiment] FIG. 1 is a schematic explanatory diagram of a minute flow rate control device according to the present invention. The basic structure of the micro flow rate control device includes a valve body 2 in which the throttle groove 4 is formed and a flow rate adjusting slider that slides over the valve body 2. The throttle groove 4 includes a main throttle groove 6 and an inlet throttle groove 8, and the flow regulating/monthly member 10 is slidably attached to the upper surface of the valve body to make the main throttle groove 6 and the inlet throttle groove 8 flow. road. When the flow regulating slider 丨〇 is located at the sliding position 10a above the valve body 2, the fluid flowing from the inflow path 12 flows from the fluid flow from the inflow portion 15 to the inlet//IL groove 8' through the main throttle groove 6. The outlet 20 exits, and the k-machine exit 22 flows into the outflow path 4. The flow rate adjustment slider 1 is slid in the direction of the head 10b, and the length of the main throttle groove 6 is changed to adjust the flow rate of the fluid. A schematic cross-sectional view of the minute flow control device of the present invention. The f-adjustment slider 1〇 is slidably attached to the upper surface of the valve body 2 so as to be movable in the sliding range 24 from the king open position 24a to the fully closed position 24b. Although not shown, the drive mechanism for moving the flow rate adjustment/month according to the set flow rate is provided in the small-sized summer control device, and the drive mechanism can use the jog control of the step 18 200827570 motor or piezoelectric element. mechanism. Fig. 3 is a schematic cross-sectional view showing the minute flow control device of the present invention in a fully open state. When the flow regulating slider 1 is located at the fully open position 24a in the aforementioned sliding range 24, the cross-sectional area of the fluid outflow port 20 becomes the largest, and the maximum flow rate is supplied from the outflow portion 22 to the outflow path 14.
圖4係本發明之微小流量控制裝置在全閉狀態時的概 略截面圖。當前述流量調整滑件1〇之端面位於前述滑接 範圍24内之全閉位置24b時,前述流出部被前述流量調 整滑件封閉,流量變成〇。 圖5係微小流量控制裝置的概略俯視圖。將前述運動 量方程式(1): P (du/dz) + ( λ /Dh) (1/2) u2 p +dP/dz=〇 ⑴ (在此,U係流速,p係密度,z係流體之流動方向座標, λ係摩擦係數,Dh係節流槽截面積之等價直徑,P係壓力) 適用於本發明之節流槽4。將u設為節流槽戴面内之平均 流速,P為密度,流體之流動方向為2軸(稱為流動方向座 標小再者’將前述主節流槽之長度設為L。,前述入口節 抓,之長度為Le ’前述流量調整滑件1〇之&置座標[(稱 為「升程」),在前述人口節流槽之終端之位置係卜〇,在 始端之位置係L= L。。又,前述流量調整滑件1〇之位置, 藉。規格化之無維升程L、L/L。及以主節流槽 之口鳊位置為原點而以L()規格化之無維座標= 表示。 ’、一 -L來 6所示之管路 圖6係本發明節流槽4的概略圖。將圖 19 200827570 内之流體運動量方程式⑴適用於本發明節流槽 如:述,式中之等價直徑使用流路之截面積…:體。 長定/,表示所對象之流路係與直徑多少:圓管 夺鉍的代表長度。例如,截 U & 由;^ A-⑽、,… 徑D之半圓形時, 由…⑺啊及,,兀(d/2),等價Fig. 4 is a schematic cross-sectional view showing the minute flow control device of the present invention in a fully closed state. When the end surface of the flow rate adjusting slider 1 is located at the fully closed position 24b in the sliding range 24, the outflow portion is closed by the flow rate adjusting slider, and the flow rate becomes 〇. Fig. 5 is a schematic plan view of a micro flow rate control device. The aforementioned motion quantity equation (1): P (du/dz) + ( λ /Dh) (1/2) u2 p +dP/dz=〇(1) (here, U-system flow rate, p-system density, z-system fluid The flow direction coordinates, the λ-based friction coefficient, the equivalent diameter of the Dh-type throttle groove cross-sectional area, and the P-system pressure) are suitable for the throttle groove 4 of the present invention. Let u be the average flow velocity in the throttle groove, P is the density, and the flow direction of the fluid is 2 axes (referred to as the flow direction coordinate is smaller) and the length of the main throttle groove is set to L. The aforementioned inlet The length of the knot is Le 'the flow adjustment slider 1 & the coordinate [[called "lift"), at the end of the population throttle slot, the position is at the beginning, L = L. Further, the position of the flow adjustment slider 1〇 is borrowed. The normalized non-dimensional lift L, L/L, and the position of the main throttle groove as the origin are normalized by L(). Fig. 6 is a schematic view of the throttle groove 4 of the present invention. The fluid motion amount equation (1) in Fig. 19 200827570 is applied to the throttle groove of the present invention. :, the equivalent diameter in the formula uses the cross-sectional area of the flow path...: body. Long fixed /, indicates the flow path of the object and the diameter: the representative length of the round tube. For example, cut U & ^ A-(10),,... When the radius D is semicircular, by (7) ah and, 兀 (d/2), equivalent
Dh={(2 兀)❽·5/(1+兀 /2)} · aQ 5 η 成為· 二半圓形以外之截面形狀,若係未具二 ::似截r狀,因有周長υ比例於〜係二) 之DH〇c AG.5則成立。 式(15) 以下’由前述運動量方条々 〇 - ^ ^ ^ - w 矛式(1)泠出期望之閥特性與入 口即流槽之臨界長度之基本關係式。 圖7係本發明之運動量方程式之計算過程圖。將前述 運動量方程式⑴當作式(ι-υ再揭示。流速 續條件以質量流量G與下式相關連: 連 u=G/( p A) 對層流之摩擦係數Λ,以既出之下式表示: λ =64//A/(uDh) ................. 將式(2)與(5)代入前述運動量方程式(1 式(1 - 2)。 (2) ·· (5) 1)整理 能得 其次,將前述運動量方程式(卜2)適用於間全開時之 入口節流槽内之流動。乘p於兩邊,設最大流量為心,設 入口節流㈣之截面積\為4,將前述運動量方程式 (1 - 2)對人口節流槽全長積分,則得式(卜小加在式(卜 3)之積分記號之i與2,表示流人部與流出部之狀態。又, 20 200827570 第1項之積分之上限F(Le),表示參數{1/(p a)}之入口節 流槽之出口端面的值。Dh={(2 兀)❽·5/(1+兀/2)} · aQ 5 η becomes the cross-sectional shape other than the two semicircles, if the system does not have two:: it is like r-shaped, because of the circumference DH〇c AG.5, which is a ratio of υ to 2). The following equation (15) is based on the basic relationship between the desired valve characteristic and the critical length of the inlet, that is, the flow channel, by the aforementioned motion amount square 々 〇 - ^ ^ ^ - w spear type (1). Fig. 7 is a diagram showing the calculation process of the exercise amount equation of the present invention. The aforementioned motion quantity equation (1) is taken as the formula (I-disclosed again. The flow rate continued condition is related to the mass flow G by the following equation: the u=G/( p A) friction coefficient 层 of the laminar flow, Representation: λ =64//A/(uDh) ................. Substituting equations (2) and (5) into the aforementioned equation of motion (1 (1 - 2) (2) · (5) 1) Finishing can be followed by applying the above-mentioned exercise amount equation (Bu 2) to the flow in the inlet throttle groove when fully open. Multiply p on both sides and set the maximum flow rate as the heart. The cross-sectional area of the inlet throttling (four) is 4, and the above-mentioned exercise quantity equation (1 - 2) is integrated into the total length of the population throttling trough, and the formula (i Xiao and the integral symbol of the formula (Bu 3) is represented by i and 2, indicating The state of the flow section and the outflow section. Further, 20 200827570 The upper limit F(Le) of the integral of the first item indicates the value of the exit end face of the inlet throttle groove of the parameter {1/(pa)}.
其次,若前述升程L取任意值(L=L)時,由所賦與之 閥特性假設對應升程L之流量為G,乘^於式(1— 2)而從 流入部積分至流出部,則能得式(1_ 4)。此式(1— 4)之左邊 第2項之積分,要進行入口節流槽全體,及從主節流槽入 口至升程L。即,z之範圍係〇〜{Le+(L0-L) },能分為〇〜;l£ 之入口區域與Le - (L(rL)之主區域。為要進行此主區域之 積分,使用以主節流槽之始端位置為原點之無維座標〔及 前述無維座標Γ *(==1- L*)。無維座標t定義為: 將dz變數轉換為d C,則得 (17) dz= L〇d ζ 式(1 - 4)之第2項,分為前述主區域(變數Γ :卜丨)與入口區 域(變數z:o〜le)之二部分,而得式(1 — 5)。將此式(1 — 〇代 入式(1 - 4),則得式(1 — 6)。又,因式(1 — 4)之左邊第〗項 之A係(之函數,故能將積分之上限值寫成1?((”。即, 表示對參數{l/(p A)}從流入部丨積分至(*。因式(1 _ 之第3項與式(1- 6)之第4項相等,故若使其相等則能得 式(1- 7),以G除此式(卜7),而設g*=g/Gm,則變成式(卜 8) 〇 圖8係本發明之關係式的導出過程圖。若將前述式〇 一 8)對(*微分,則變成式(2 —丨)。因無維座標:*係卜} 一 l *),若將Γ*改寫為L*,則得式(2— 2)。設滿足此式(2— 2) 21 200827570 之左邊為〇之條件式(2_3)的Le為臨界長冑此臨界 長度lec具有適合期望之闕特性之實現的 之長度的意義。換言之’前述條件式(2_3),能當作心 :之閥特性與主節流口之形狀導出臨界長度[π (最適入口 節流槽之長度)的關係式使用。因此,由前述式(2_ 3)前述 臨界長度LEe,能以關係式(Η)表示。因在此關係式(r 4)未含有物性值,故不限定流體係液體或氣體,前述關係 ^ (2- 4)對各種流體可適用。再者,若式(2_ 2)之左邊係〇 時,因右邊亦0,故得式(2 — 5)。 圖9係非壓縮性流體之關係式的導出過程圖。式(3_ ” 表示圖8所示之式(2_5)。流體係液體且非廢縮性時,前 、:之第1項之和分,假設流入部⑴之截面積較節 槽之截面積十分大,嶋式(3 _2)。另一方面,前述 式(3-υ之第2項,能改寫成式(3_3)。藉由將式(3_2)與 = (3-3)代人式(3—丨),能得式(3_4)。在此,若使用無維 截面積Α*=Α/Αε來改寫,則能表示如式(3— 5)。因此,由 於〔(G”A*2)-(1/G*)…*相關之微分值係0,如式(3-^不,式(3_5)所表示之〔(g*/a*2)-(i/g*)〕係以係 ㊉數c來表示。再者,在閥全開時,因g*=i、a*2=i, 常數c變成〇。因此,闕全開時之前述式(3_6)成為式(3_ 7) ’而能得非壓縮性流體之關係式(3〜8)。 圖1〇係具有相似形截面之節流槽4的概略圖。如上述, 若節流槽4之截面係相似形時,節流槽4之等價直徑Dh 係與截面積A之0.5乘成正比,成為Dh〇ca"。如圖即使 22 200827570Next, if the lift L is an arbitrary value (L=L), the flow rate of the assigned lift characteristic L is assumed to be G, multiplied by the equation (1-2), and integrated from the inflow to the outflow. Department, you can get the formula (1_ 4). The left side of the formula (1–4) is the integral of the second term, and the entrance chute is to be completed, and the inlet from the main chute to the lift L. That is, the range of z is 〇~{Le+(L0-L) }, which can be divided into 入口~; the entrance area of l£ and the main area of Le - (L(rL). For the integration of this main area, use The dimension-free coordinates with the starting position of the main throttle slot as the origin (and the aforementioned dimensionless coordinate Γ *(==1-L*). The dimensionless coordinate t is defined as: Converting the dz variable to d C, then 17) dz= L〇d 第 The second term of the formula (1 - 4) is divided into the two parts of the above main area (variable Γ: divination) and the entrance area (variable z: o ~ le), and the formula ( 1 - 5). This formula (1 - 〇 is substituted into (1 - 4), then the formula (1 - 6). Again, because of the function of the left side of the formula (1 - 4), the A system (a function, Therefore, the upper limit of the integral can be written as 1? ((", that is, the integral of the parameter {l/(p A)} from the inflow part to (*. Factor (1 _ of the 3rd term and the formula (1) - 4) The fourth item is equal, so if it is made equal, the formula (1-7) can be obtained, G can be divided by this formula (Bu 7), and if g*=g/Gm, then it becomes the formula (Bu 8) Figure 8 is a diagram showing the derivation process of the relational expression of the present invention. If the above formula 〇8) is paired (*differentiated, it becomes the equation (2-丨). Because of the dimensionless coordinates: *卜} a l *), if Γ* is rewritten as L*, then the formula (2-2) is obtained. Let Le satisfy the condition (2-2) 21 200827570 The condition of the left side is the conditional formula (2_3) Le is critical The critical length lec has a meaning suitable for the length of the realization of the desired enthalpy characteristic. In other words, the aforementioned conditional expression (2_3) can be regarded as the heart: the valve characteristic and the shape of the main orifice are derived from the critical length [π ( The relational expression of the length of the optimum inlet throttle groove is used. Therefore, the aforementioned critical length LEe of the above formula (2-3) can be expressed by the relationship (Η). Since the relation (r 4) does not contain the physical property value, Therefore, the flow system liquid or gas is not limited, and the above relationship ^ (2 - 4) is applicable to various fluids. Further, if the left side of the formula (2_ 2) is 〇, since the right side is also 0, the formula (2 - 5) Fig. 9 is a diagram showing the derivation process of the relationship of the non-compressible fluid. The formula (3_ ” represents the formula (2_5) shown in Fig. 8. When the fluid system is liquid and non-shrinkage, the first item: And the sub-portion, assuming that the cross-sectional area of the inflow portion (1) is much larger than the cross-sectional area of the nodal groove, the formula (3 _2). On the other hand, the second formula of the above formula (3-υ can be changed Formula (3_3). By formula (3_2) and = (3-3) on behalf of the human form (3 - 丨), we can get the formula (3_4). Here, if we use the non-dimensional cross-sectional area Α*=Α/ If Αε is rewritten, it can be expressed as (3-5). Therefore, since the differential value of [(G"A*2)-(1/G*)...* is 0, as in the formula (3-^ no, [(g*/a*2)-(i/g*)] represented by the formula (3_5) is represented by a system c. Furthermore, when the valve is fully open, the constant c becomes 因 due to g*=i, a*2=i. Therefore, the above formula (3_6) at the time of full opening becomes the formula (3-7)', and the relational formula (3 to 8) of the incompressible fluid can be obtained. Fig. 1 is a schematic view of a throttle groove 4 having a similarly shaped cross section. As described above, if the cross section of the throttle groove 4 is similarly shaped, the equivalent diameter Dh of the throttle groove 4 is proportional to 0.5 of the sectional area A, and becomes Dh〇ca". As shown in the picture 22 200827570
Dji00 AG·5之關係 截面形狀係梯形時僅變化其係數而已 仍成立。 口此’如® 9之式(3 _ 9)所示,式(2 _ 4)之右邊之 (AeDhe2)/(ADh2)則成為1/A* 2,若將式(卜9)代入式(2 _ 4),能獲得在相似形截面賦與臨界長度之關係式⑼。 再者=體係麵縮性時,因在相似形截面之關係式(3_ ι〇) ^立則述非性流體之關係式(3 _ 8),故能得非塵縮性 &體及相似形截面之關係式(3 _丨〗)。 圖^係闕特性為線性型時之臨界長度的分類圖。在前 ^係式(^4)包含G*與(dGVL*)HL*之關係以所 、,扣性决疋。能代表之閥特性有線性型與等百分比 里’此等2種閥特性中先詳述線性型之情形。 閥特性係線性型時,能以 G*=G〇*+〇- 〇〇*)· L* ............ (4 賦::維流量G*,在此’ G。、l、〇之G*值,與流量 凋整能力RA有如下之關係。 /、 G〇 * = 1 /Ra ..................... 若前述主節流槽之終端具有理想形狀時,全閉(:-態2()卜 附近之流量’雖根據_性會㈣地接近g, ) 種終端形狀現實上係不可能。將閱特性以式表示時,: 入初期流量A或流量調整能力Ra。前述線性 2 用流量調整能力ra,表示為: 1特性使 G* =l/RA+(i — 1/Ra) · l* .......... (4 若求出此式(4-3)之(dG*/L*),則成為:4 3) 23 200827570 (d G* / L* )= (1 一 1/Ra).............. (4 一 4) 將式(4 - 3)及式(4 - 4)代入關係式(2 - 4),能導出不限定流 體之種類及節流槽之形狀,且對線性型閥特性之臨界長声 的一般關係式(4 - 5)。Relationship between Dji00 AG·5 When the cross-sectional shape is trapezoidal, only the coefficient is changed and it is still established. As shown in the formula (3 _ 9), the right side of the formula (2 _ 4) (AeDhe2) / (ADh2) becomes 1 / A * 2, if the formula (Bu 9) is substituted into the formula ( 2 _ 4), can obtain the relationship (9) which gives the critical length in the similar section. In addition, when the system is contracted, the relationship between the similar shaped sections (3_ ι〇) and the non-sexual fluid (3 _ 8) can be obtained, so that non-dusting & The relationship of the section (3 _丨). Fig. 2 is a classification diagram of the critical length when the 阙 characteristic is linear. In the former ^ (4), the relationship between G* and (dGVL*) HL* is included. The valve characteristics that can be represented are linear and equal percentages. The case of the linear type is described in detail in the two valve characteristics. When the valve characteristics are linear, G*=G〇*+〇- 〇〇*)· L* ............ (4 Fu:: Dimensional flow G*, here' The G* values of G, l, and , have the following relationship with the flow capacity RA. /, G〇* = 1 /Ra ................... If the terminal of the main throttle slot has an ideal shape, the full-closed (the flow near the 2:) is close to g according to the _ sex (4), and the terminal shape is practically impossible. When the reading characteristic is expressed by the formula, the flow rate A or the flow rate adjustment capability Ra is entered. The linearity 2 flow rate adjustment capability ra is expressed as: 1 The characteristic is G* = l/RA + (i - 1/Ra) · l*. ......... (4 If (dG*/L*) of this formula (4-3) is obtained, it becomes: 4 3) 23 200827570 (d G* / L* )= (1 1/Ra).............. (4 - 4) Substituting the formula (4 - 3) and the formula (4 - 4) into the relational expression (2 - 4), can be exported without limitation The type of fluid and the shape of the throttling groove, and the general relationship of the critical long sound to the linear valve characteristics (4 - 5).
前述主節流槽係相似形截面時,若將式(3 — 9)、(4 —巧 及(4 - 4)代入前述關係式(2 _ 4),則能得對線性型閥特性之 相似形截面之臨界長度的關係式(4 — 6)。再者,若限定非 壓縮性流體/相似形截面時,藉由將式(4 _ 4)代入前述臨界 長度之關係式(3 - 11),能導出對線性型閥特性之非壓縮性 流體/相似形截面的關係式(4 — 7)。又,非壓縮性流體/相似 形截面時,由前述式(3 — 8)及式(4 — 3),對具有臨界長度乙肛 之入口節流槽,主節流槽之截面積則具有如下關係: A*="Ra+(1- 1/RA)· L* ............... (4- 8) 再者,流量調整能力係無限大時,從前述關係式(4 —乃臨 界長度LEC成為: 因此’若要在使用非壓縮性流體之微小流量控制裝置賦與 、在t閥特性,使主節流槽之截面形狀為相似形,且使其 長度LG與入口節流槽之臨界長度lec相等即可。 圖12係賦與線性型閥特性之微小流量控制裝置的主節 机槽之截面積A與流量Q的相關圖。流體係黏度1·01χ 1〇^Pa· S之水,將流入口與流出口之壓力差設為O.IMPa, >瓜槽之長度L〇為1 Omm,截面形狀具有相似之半圓形, 調整能力設為無限大。gp ’滿足非壓縮性流體/相似 24 200827570 形截面之條件之情形,藉由將前述流量調整滑件從流體流 出口之全閉狀態(L*=0)滑動至全開狀態(L*=1),使前述流 量從0呈線性地變化至最大流量來設計。When the above-mentioned main throttle groove is similarly shaped, if the equations (3-9), (4, and (4 - 4) are substituted into the above relation (2 _ 4), the characteristics of the linear valve can be similar. The relationship between the critical lengths of the cross-sections (4-6). Further, if the non-compressible fluid/similar cross-section is defined, the equation (4 - 4) is substituted into the aforementioned critical length (3 - 11). The relationship between the incompressible fluid/similar cross section of the linear valve characteristic can be derived (4-7). In addition, when the non-compressible fluid/similar cross section is obtained by the above formula (3-8) and formula (4) — 3) For the inlet throttle with a critical length of the sinus, the cross-sectional area of the main throttle has the following relationship: A*="Ra+(1- 1/RA)· L* ...... ......... (4- 8) Furthermore, when the flow adjustment capability is infinite, from the above relationship (4 - is the critical length LEC becomes: therefore 'If you are using a small amount of non-compressible fluid The flow control device assigns a characteristic of the t-valve such that the cross-sectional shape of the main throttle groove is similar, and the length LG thereof is equal to the critical length lec of the inlet throttle groove. Correlation diagram between the cross-sectional area A of the main throttle groove and the flow rate Q of the micro-flow control device of the characteristic valve characteristics. The flow system viscosity is 1.01χ 1〇^Pa· S, and the pressure difference between the inlet and the outlet is set. O.IMPa, > The length of the melon groove is 1 Omm, the cross-sectional shape has a similar semicircle, and the adjustment ability is set to infinity. gp 'satisfying the condition of non-compressible fluid/similar 24 200827570 The flow rate adjustment slider is designed to be linearly changed from 0 to the maximum flow rate by sliding the fluid flow regulating slider from the fully closed state (L*=0) of the fluid outflow port to the fully open state (L*=1).
為要達成上述設計目的,使用非壓縮性流體/相似形截 面時之式(4- 7)算出入口節流槽之臨界長度Lec。但是,在 此h形,由於設定流量調整能力為無限大,由式(4 —乃得 前述臨界長度LEC係與L。相等長度。即,設定為ι〇麵。 如由圖日㈣’藉由設置具有前述臨界長度之入口節流槽, 僅使=述主節流槽之截面積Α(ϋ)直線地增加,則能對微 J々IL里控制裝置賦與高精度之線性型閥特性。 另一方面,以粗線表示之無入口節流槽(Le = 〇)時,前 截面積A(粗線)伴隨前述升程L*之增加單調地增加至l 〇·5附近為止。但是’為要實現前述線性型閥特性,越 接近全開狀H(L*=1)越需要使前述截面積a減少之縮小, 在無維㈣L*=Q.7附近具有截面積之最大值。因此,在 無入口節流槽之微小流量控制裝置,變成在主節流槽存在 :大部。要將存在此種放大部之微細主節流槽形成於閥 -,需要非常高度之加I技術,同時要形成能使流量穩定 且向精度供應之節流槽,則非常困難。 法圖13係賦與線性型閥特性之微小流量控制裝置的主節 仇槽之截面積A與流量q的相關圖。流體係黏度較前述之 :大30倍左右之情形(例如,3·16χ ι〇.2ρ"之變壓器油), 了他條件設^為與使用目12之水時同值。即,設流入口 轉流出口之壓力差為〇.1MPa,主節流槽之長度W⑺匪, 25 200827570 截面形狀具有相似之半圓形,設定流量調整能力為無限 大。前述微小流量控制裝置所流出之流量Q亦伴隨無維^ 程L*從〇變化至1呈直線增加,前述主節流槽具有線性 型閥特性。 在此,由於設定入口節流槽Le為臨界長度,以非 壓縮性流體/相似形截面之條件設定流量調整能力為無限 大’藉由式(4 _ 7)設定前述臨界長度k為與L。相等長度 之l〇mm。如由圖明瞭,即使使用黏度較水多〗位數以上 之變壓器油時,藉由設置具有前述臨界長度之入口節流 槽’能卩具單、純構造之節流槽賦與高精度之線性型閥特性 於微小流量控制裝置。 另一方面,以粗線表示之無入口節流槽(Le=〇)時,前 ^截面積A(粗線)伴隨前述升程L*之增加單調地增加至[ 附近為止但疋,越接近全開狀態(L * == 1)越急劇地 減;主即流槽之截面。此種主節流槽截面之急劇變化,較 圖12所不之水之情形,係由於變壓器油之黏度大所引起 :(麥照後出之圖23)。因在匕,本發明之微小流量控制裝置, 藉由具備設定為前述臨界長度之入口節流槽,冑免主節流 槽截面積之急劇變化,即使要對高黏度之流體作流量控制 時’能賦與所期望之閥特性。 圖14係具有非相似形截面之節流槽的概略圖。節流槽 〃有長方形截面,高度係一定且節流槽之寬度w朝流動 方向減少。即,、声μ, L體出口 20之截面,伴隨前述流量調 整滑件滑動非相似形地變化。因&,若要決定前述臨界長 26 200827570 度,須由圖π所示之前述關係式_ 5)導出。但是,在前 述關係式(4 - 5),LEC係截面積A,等價直徑Dh及無維升程 L之函數,即使按照閥開度改變Lec,或選擇使[a為常 數之截面積A,等價直徑Dh及無維升程L*之關係,在l 值殘留不定性,不能一味地決定lec值。 EcTo achieve the above design goals, the critical length Lec of the inlet orifice is calculated using the equation (4-1) of the non-compressible fluid/similar profile. However, in this h-shape, since the set flow adjustment capability is infinite, the above-mentioned critical length LEC is equal to L. The length is set to ι〇. As shown by the figure (4) By providing the inlet throttle groove having the aforementioned critical length, the cross-sectional area Α(ϋ) of the main throttle groove is linearly increased, and the linear control valve characteristic of the micro-J々IL control device can be imparted with high precision. On the other hand, when there is no inlet throttle groove (Le = 〇) indicated by a thick line, the front sectional area A (thick line) monotonously increases to the vicinity of l 〇·5 with the increase of the aforementioned lift L*. In order to realize the linear valve characteristics described above, the closer to the fully open shape H (L* = 1), the smaller the reduction in the cross-sectional area a is required, and the maximum value of the cross-sectional area is obtained in the vicinity of the dimensionless (four) L* = Q.7. In the small flow control device without the inlet throttle groove, it becomes in the main throttle groove: most of it. To form the fine main throttle groove in which such an amplifying portion is formed in the valve, a very high degree of I technology is required, and at the same time It is very difficult to form a throttle groove that can stabilize the flow and supply accuracy. It is a correlation diagram between the cross-sectional area A of the main section and the flow rate q of the micro-flow control device with linear valve characteristics. The viscosity of the flow system is about 30 times larger than the above (for example, 3·16χ ι〇. 2ρ" transformer oil), the condition is set to be the same value as the water used in the head 12. That is, the pressure difference between the inlet and outlet of the inlet is 〇.1MPa, the length of the main throttle is W(7)匪, 25 200827570 The cross-sectional shape has a similar semicircular shape, and the flow adjustment capability is set to be infinite. The flow rate Q flowing out of the micro flow control device is also increased linearly from the 无 change to 1 without the dimension L*, and the main throttle groove has Linear valve characteristics. Here, since the inlet throttle groove Le is set to a critical length, the flow adjustment capability is set to be infinite with the condition of the non-compressible fluid/similar profile section. The critical length is set by the formula (4 _ 7). k is an equal length of l〇mm with L. As shown in the figure, even if a transformer oil having a viscosity greater than the water number is used, the inlet throttle groove having the aforementioned critical length can be provided. Purely constructed throttling The high-precision linear valve is characterized by a small flow control device. On the other hand, when there is no inlet throttle groove (Le=〇) indicated by a thick line, the front cross-sectional area A (thick line) is accompanied by the aforementioned lift L*. Increasing monotonously increases to [near the vicinity, but the closer to the fully open state (L * == 1), the sharper the decrease; the main section of the flow trough. The sharp change of the main throttling section is not as shown in Figure 12. In the case of water, it is caused by the viscosity of the transformer oil: (Figure 23 of Maizhao). Because of this, the micro flow control device of the present invention has an inlet throttle groove set to the aforementioned critical length. The abrupt change in the cross-sectional area of the main throttle trough, even if the flow control of the high-viscosity fluid is required, can give the desired valve characteristics. Figure 14 is a schematic view of a throttle groove having a non-similar cross section. The throttle groove has a rectangular cross section, the height is constant, and the width w of the throttle groove decreases toward the flow direction. That is, the sound μ, the cross section of the L body outlet 20 changes in a non-similar shape as the flow rate adjustment slider slides. For &, to determine the aforementioned critical length 26 200827570 degrees, it must be derived from the above relation _ 5) shown in Figure π. However, in the above relation (4 - 5), the LEC is a function of the cross-sectional area A, the equivalent diameter Dh, and the non-dimensional lift L, even if Lec is changed according to the valve opening degree, or [a is a constant cross-sectional area A, The relationship between the equivalent diameter Dh and the non-dimensional lift L*, in the l value residual uncertainty, can not blindly determine the value of lec. Ec
如圖12及圖13所示,具備設定為前述臨界長度l 之入口節流槽的意義’在於# L*=1附近節流槽之截面: 急擴大時能避免其之處。因&,若前述主節流槽係非相似 形時,設L*=1 ’而其他參數亦取L*=i時之值,將由前述 關係式(4- 5)取得之長度稱為準臨界長度,藉由圖u 所示之準臨界長度Lec=l〇/(卜1/RJ決定入口節流槽之長As shown in Fig. 12 and Fig. 13, the meaning of the inlet throttle groove set to the critical length l is the cross section of the throttle groove near #L*=1: it can be avoided when it is suddenly expanded. If <, if the main throttle slot is non-similar, let L*=1 ' and other parameters take the value of L*=i, and the length obtained by the above relation (4-5) is called The critical length, by the quasi-critical length Lec = l 〇 / shown in Figure u (b / 1 / RJ determines the length of the inlet throttle
度。 Xdegree. X
固 JL -----〜μ卞缺介食 度LEC的微小流量控制裝置的截面積a與流量q的相關圖。 流體係黏度3.16X 10、· s之變壓器油,流入口盥流出口 籲之壓力差係〇.1MPa,主節流槽之長度L。為1〇酿,準臨界 長度最大流量QM=456ml/m,截面形狀具有 圖^所示之非相似長方形,流量調整能力〜係2〇。再 者’前述主節流槽巧純錢定錢4Q成為線 中實線)。 若將入口節流槽之長度設定為準臨界長度^時⑹, 截面積A對升程L*單調地增加。因此,藉由設定人口節 流槽之長度為前述準臨界長度,將合適之流動阻力加在流 體,能避免使節流槽急擴大之必要性。 力 万面,無入口 27 200827570 即流槽(!^0)時(口),伴隨前述升程l*之增加主節流槽之 截面積A雖單調地增加至L* 〇·5附近為止,但越接近全 開狀態(L * =1)越減少主節产 即,瓜槽之截面積。因此,使用全開 ,之準臨界長度’當前述主節流槽係非相似形時 對決疋前述入口節流槽之長度上有效。 圖:“系閥特性為等百分比(EQ)型時之臨界長度的分類 圖。接者詳細說明所期望之閥特性係等百分比型之情形。 當閥特性係等百分比型時, 以 …=(1/Ra)1.“ ................ (4.1〇) 賦吳無維流量G*,從此式(4_ 1〇)求(dG*/L*)則成為: —(dG*/L*)=-G* · lnG〇*=G* · lnRA …(4_ u) 右將此式(4- 11)代人式(2_ 4),則導出不限^流體種類及 節流㈣狀’對圖16所示之等百分比型閥特性之臨界長 度的-般關係式(4 - 12)。藉由與線性型同樣之方法,能得 圖16之關係式(4 - 13)及(4 _ 14)。 當閥特性係等百分比型時,一般形、非壓縮性流體及" 或相似形之所有情形的臨界長度Lec成為L*之函數。因 此,亦在等百分比型閥特性,將全開時當作 臨界長度使用。等百分比型閥特性之準臨界長度,成 為: ......... (4 - 15) 係不論截面形狀之相Solid JL -----~μ卞 The relationship between the cross-sectional area a and the flow rate q of the small flow control device of LEC. Flow system viscosity 3.16X 10, · s transformer oil, flow inlet turbulent outlet The pressure difference is called 1.1MPa, the length of the main throttle groove L. For 1 brewing, the maximum flow rate of quasi-critical length is QM=456ml/m, the cross-sectional shape has a non-similar rectangle as shown in Fig. 2, and the flow adjustment capability is 2系. Furthermore, the aforementioned main throttle slot is purely money-fixed 4Q to become the solid line in the line). If the length of the inlet throttle groove is set to the quasi-critical length ^ (6), the cross-sectional area A monotonically increases with respect to the lift L*. Therefore, by setting the length of the population throttle groove to the aforementioned quasi-critical length and applying a suitable flow resistance to the fluid, it is possible to avoid the necessity of rapidly expanding the throttle groove. Force surface, no inlet 27 200827570 When the flow cell (!^0) (port), with the increase of the aforementioned lift l*, the cross-sectional area A of the main throttle groove increases monotonically to the vicinity of L* 〇·5. However, the closer to the fully open state (L* =1), the more the main section, ie the cross-sectional area of the melon trough, is reduced. Therefore, the use of full opening, the quasi-critical length ' is effective for the length of the aforementioned inlet throttle groove when the main throttle groove is not similar. Fig.: “Classification diagram of the critical length when the valve characteristic is equal percentage (EQ) type. The details of the desired valve characteristics are equal percentage. When the valve characteristics are equal percentage type, ...=( 1/Ra)1."................ (4.1〇) Fu Wu Weiwei flow G*, from this formula (4_ 1〇) seeking (dG*/L*) becomes : —(dG*/L*)=-G* · lnG〇*=G* · lnRA ...(4_ u) Right this formula (4- 11) is a human (2_ 4), then the flow is not limited Type and throttling (four) shape - the general relationship of the critical length of the equal percentage valve characteristics shown in Figure 16 (4 - 12). The relationship (4 - 13) and (4 _ 14) of Fig. 16 can be obtained by the same method as the linear type. When the valve characteristics are of the equal percentage type, the critical length Lec of all the general, non-compressible fluids and " or similar shapes becomes a function of L*. Therefore, the same percentage valve type is also used as the critical length when fully open. The quasi-critical length of the equal-percentage valve characteristic is: .... (4 - 15) is the phase regardless of the cross-sectional shape
Lec=L〇/ 1 n Ra ..................... 採用前述入口節流槽之準臨界長度 似·非相似,或不依流體之非壓縮性·壓縮性之有無,實 際且有效。 28 200827570 圖17係賦與等百分比型閥特性之微小流量控制裝置的 節ML槽之截面積A與流量Q的相關圖。流體係黏度〇 工6 X Pa S之變壓器油,流入口與流出口之壓力差為O.IMPa, 入口節流槽之準臨界長度LEc=3 34mm,主節流槽之長度“ 為1 Omm。再者,截面形狀具有相似之半圓形,設定流量 調整能力Ra為20。 身攸等百分比型閥特性得知,流量Q如式(4 - 1 〇)所示, _ 伴奴無維升程L *之增加使增加之比率指數函數地逐漸變 大。由等百分比型閥特性之準臨界長度關係式(4 —丨5),決 疋入口節流槽之長度。設置此入口節流槽時,前述主節流 槽之截面積A( □)係單調地增加,藉由具有單純構造之節 机槽,賦與等百分比型閥特性於微小流量控制裝置。 另方面,粗線所示之無入口節流槽(le=〇)時,前述 截面積A(粗線)伴隨前述升程L*之增加單調地增加至l* -〇.9附近為止。但是,在L*=〇 95附近變成最大值,急劇 φ i也減少截面積。即,前述主節流槽之截面積,需要從始端 位置急擴大。要將此種急擴大部形成於節流槽,需要非常 高度之加工技術。 圖1 8係賦與與等百分比型閥特性之微小流量控制裝置 的主節流槽之無維截面積A*與無維流量Q*的相關圖。此 圖係表示對不同入口節流槽之長度之無維截面積A*與無 維流量Q*的相關,即前述入口節流槽之長度係式(4 _ 15) 所決定之準臨界長度lec之情形(◊ : LEc=3 34mm),其長 度係較準臨界長度LEC短之情形( : LE=2 23mm)及其長度 29 200827570 係車乂準臨界長度Lec長之情形(鲁:1^=5.01111扭)。即,調查 在具有準6品界長度、其K5分之1長度、及1·5倍之長度 的Τ =即/瓜槽間會產生何差異。流體係黏度0_0316Pa · s 之欠壓态油’流入口與流出口之壓力差為〇 ,主節流 槽之長度L0為i〇mm,流量調整能力為。如由圖明瞭, P使配,又别述入口節流槽,若其長度與式(4 —丨5)所決定之 臨界長度不同時,無維截面積A*不成為單調之變化,若 φ ^臨界長度短時,需要使主節流槽之截面積A*急擴大, 若較臨界長度長時,必須使截面積A*急劇縮小。 二圖19係具有短入口節流槽8之節流槽4的概略圖。在 岫迟入口節流槽8,藉由將前述入口節流槽形成錐形使始 端截面16之截面積Aeq較終端截面19之截面積Ae小,使 此入口節流槽8所產生之流動阻力增大,使前述入口節流 才曰8之長度縮短。設此短入口節流槽之長度為。 ^為要將與在長度LEC,具有一樣之截面積AE的入口 藝 節流槽同等之摩擦壓力下降APEF,在前述短入口節流槽8 產生,以截面形狀係半圓形時為例說明期望要的截面積 AEQ與長度LEQ之決定方法如下。 圖20係本發明短入口節流槽之長度的導出過程圖。具 有截面% A之入口節流槽之微小區域間dz的摩擦壓力下 降dP,成為如圖2〇之式(5_丨)。在此,設流速u、摩擦係 數λ、等價直徑DH,將既出之以下關係式·· u==G/( p A) ··· _ ^ =64 μ A/(uDh) (5) 30 200827570 dh={(2 π )0 5/(1+π /2)} · a〇.5 ............... (15) 代入式(5-丨),則得式(5_2)。若將此式(5_2)涉及入口節 /瓜槽王長積分,旎得表示入口節流槽之摩擦壓力下降△ 之式(5-3)。在此’若截面積A對流動方向座標z線性= 、交化’則以式(5 - 4)賦與前述截面積a ’藉由使此式微分 之式(5- 5)將式(5- 3)變數轉換來實行積分,能得最終摩擦 壓力下降式(5 -6)。同樣,能得入口節流槽之截面積係_ 定時之賦與摩擦壓力下降的式(5_7)。藉由使此壓力 下降ΛΡε與前已求得之等值’由式(5_ 6)與式卜7) 能得賦與短入口節流槽之長度的式(5_ 8)。如此式(5_ 8)所 明不,藉由使入口節流槽之截面積朝始端截面縮小,較截 面積八“系一定時,能使入口節流槽之長度縮短倍。 本發明,不限於上述實施形態,將不脫離本發明之技 術思想之範圍内的各種變形例、設計變更等均包含於其技 術範圍’則不必多言。 依本發明之微小流量控制裝置的設計方法,能設計高 精度之微小流量控制裝置,該微小流量控制裝置係將近年 來在合成化學、分析化學、半導體產業及生物科技產業而 受矚目之微化學處理技術,使用於免疫分析系統、環境分 析系統、細胞生化學實驗系統、化學氣相成長系統及合成 化學實驗系統等來展開時所必要。再者,藉由達成此等系 統之反應收率之提供、反應時間之縮短、環境負荷之減輕 4,Sb使化學反應控制非常高精度化及效率化。此外,能 實現以既存之技術被認為不可能的微小且正確之流量控制 31 200827570 的化學反應系統之微小化及積體化。 【圖式簡單說明】 圖1係本發明之微小流量控制裝置的概略說明圖。 圖2係本發明之微小流量控制裝置的概略截面圖。 、圖3係本發明之微小流量控制裝置在全開狀態時的概 略截面圖。Lec=L〇/ 1 n Ra ..................... The quasi-critical length of the aforementioned inlet throttle groove is similar to or not similar, or non-compressed by fluid The availability of sex and compressibility is practical and effective. 28 200827570 Figure 17 is a correlation diagram of the cross-sectional area A and the flow rate Q of the ML groove of the micro flow control device with the equal percentage valve characteristics. The viscosity of the flow system is 6 x Pa S transformer oil. The pressure difference between the inlet and the outlet is O.IMPa, the quasi-critical length of the inlet orifice is LEc=3 34mm, and the length of the main orifice is “1 Omm. Furthermore, the cross-sectional shape has a similar semicircular shape, and the flow adjustment capability Ra is set to 20. The characteristic of the percentage valve type of the body is that the flow rate Q is as shown by the formula (4 - 1 〇), _ with the slave without the dimension L The increase of * increases the exponential function gradually. The length of the inlet throttling groove is determined by the quasi-critical length relationship of the equal percentage valve characteristics (4 - 丨 5). When the inlet throttling groove is set, The cross-sectional area A(□) of the main throttle groove is monotonously increased, and the equal-percentage type valve is characterized by a small flow rate control device by a simple-structured throttle groove. On the other hand, the thick line shows no inlet. In the throttle groove (le = 〇), the cross-sectional area A (thick line) monotonically increases to the vicinity of l* - 〇.9 with an increase in the aforementioned lift L*. However, it becomes maximum near L*=〇95. Value, sharp φ i also reduces the cross-sectional area. That is, the cross-sectional area of the aforementioned main throttle groove needs to be from the beginning The position is rapidly expanding. To form such an augmented enlargement in the throttle groove, a very high degree of machining technology is required. Figure 1 8 is a non-dimensional section of the main throttle groove that imparts a small flow control device with equal percentage valve characteristics. Correlation diagram between area A* and dimensionless flow Q*. This figure shows the correlation between the dimensionless cross-sectional area A* of the length of the different inlet throttle slots and the non-dimensional flow rate Q*, ie the length of the aforementioned inlet throttle groove The case of the quasi-critical length lec determined by the formula (4 _ 15) (◊: LEc=3 34mm), the length of which is shorter than the quasi-critical length LEC (: LE=2 23mm) and its length 29 200827570 The case where the quasi-critical length Lec is long (Lu: 1^=5.01111 twist). That is, the survey has a length of the quasi-six-segment, a length of K5, and a length of 1.5 times. What is the difference? The pressure difference between the inlet and the outlet of the under-pressure oil of 0_0316Pa · s is 〇, the length L0 of the main throttle is i〇mm, and the flow adjustment capability is as shown in the figure. P is matched, and the inlet throttle groove is not mentioned. If the length is different from the critical length determined by the formula (4 - 丨 5), The dimension-free cross-sectional area A* does not become a monotonous change. If the critical length of φ ^ is short, the cross-sectional area A* of the main throttle groove needs to be rapidly expanded. If the critical length is longer, the cross-sectional area A* must be sharply reduced. Figure 19 is a schematic view of a throttle groove 4 having a short inlet throttle groove 8. In the late inlet throttle groove 8, the cross-sectional area Aeq of the starting end section 16 is compared with the end by forming the inlet throttle groove into a tapered shape. The cross-sectional area Ae of the section 19 is small, so that the flow resistance generated by the inlet throttle groove 8 is increased, and the length of the inlet throttle block 8 is shortened. The length of the short inlet throttle groove is set to be. ^ is the frictional pressure drop APEF equivalent to the inlet art flow cell having the same cross-sectional area AE as the length LEC, which is generated in the short inlet throttle groove 8 and is semi-circular in cross-sectional shape as an example. The method of determining the cross-sectional area AEQ and the length LEQ is as follows. Figure 20 is a diagram showing the derivation process of the length of the short inlet throttle groove of the present invention. The frictional pressure dp between the minute regions dz of the inlet throttle groove having the section % A becomes the equation (5_丨) as shown in Fig. 2 . Here, the flow velocity u, the friction coefficient λ, and the equivalent diameter DH are set to the following relationship: u==G/( p A) ··· _ ^ =64 μ A/(uDh) (5) 30 200827570 dh={(2 π )0 5/(1+π /2)} · a〇.5 ............... (15) Substitute (5-丨), Then get the formula (5_2). If the formula (5_2) relates to the inlet section/guar groove king length integral, the expression (5-3) indicating that the frictional pressure of the inlet throttle groove is decreased by Δ is obtained. Here, if the cross-sectional area A is linear to the flow direction coordinate z, and the cross-section is given by the formula (5 - 4), the cross-sectional area a ' is given by the formula (5-5). - 3) Variable conversion to perform integral, the final friction pressure drop type (5 -6). Similarly, the cross-sectional area of the inlet throttle groove can be obtained by the formula (5_7) of the timing and the frictional pressure drop. The equation (5-8) which gives the length of the short inlet throttle groove can be obtained from the equation (5-6) and the equation 7 by lowering the pressure ΛΡ ε and the previously obtained equivalent value. As described in the above formula (5-8), the cross-sectional area of the inlet throttle groove is reduced toward the starting end section, and the length of the inlet throttle groove can be shortened by a factor of eight when the cross-sectional area is constant. The present invention is not limited to In the above-described embodiments, various modifications and design changes within the scope of the technical idea of the present invention are included in the technical scope of the present invention. It is needless to say that the design method of the micro flow rate control device according to the present invention can be designed high. A micro flow control device for precision, which is a microchemical treatment technology that has attracted attention in the fields of synthetic chemistry, analytical chemistry, semiconductor industry, and biotechnology industry in recent years, and is used in immunoassay systems, environmental analysis systems, and cell biochemistry. It is necessary to carry out the development of experimental systems, chemical vapor growth systems, and synthetic chemical experimental systems. Furthermore, by providing the reaction yields of these systems, shortening the reaction time, and reducing the environmental load, Sb makes chemistry. The reaction control is extremely high-precision and efficient. In addition, it is possible to realize a small and positive process that is considered impossible with existing technologies. Fig. 1 is a schematic explanatory view of a micro flow rate control device according to the present invention. Fig. 2 is a schematic view of a minute flow rate control device according to the present invention. Fig. 3 is a schematic cross-sectional view showing the micro flow rate control device of the present invention in a fully open state.
圖4係本發明之微小流量控制裝 略截面圖。 置在全閉狀態時的概 圖5係本發明之微小流量控制褒 圖6係本發明之節流槽的概略圖 置的概略俯視圖 〇 圖7係本發明之運動量方程式的計算過程圖 圖8係本發明之關係式的導出過程圖。 圖9係非壓縮流體之關係式的導出過程圖。 圖1〇係具有相似形截面之節流槽的概略圖。 圖U係閥特性為線性型時之臨界長度的分類圖。Fig. 4 is a cross-sectional view showing the minute flow control of the present invention. FIG. 6 is a schematic plan view of a schematic diagram of a throttle groove of the present invention. FIG. 7 is a schematic diagram of a calculation process of the motion amount equation of the present invention. FIG. A diagram of the derivation process of the relationship of the present invention. Figure 9 is a diagram showing the derivation process of the relationship of non-compressed fluids. Figure 1 is a schematic view of a throttle groove having a similar cross section. Figure U is a classification diagram of the critical length when the valve characteristic is linear.
=係賦與線性型閥特性之本發明微小流量控制裝置 之主節流槽之截面積A與流量Q的相關圖。 圖係賦與線性型閥特性之本發明微小流量控制裝置 之主節流槽之截面積A與流量Q的相關圖。 圖14係具有非相似形截面之節流槽的概略圖。 節流槽之長度為準臨界長度 置之截面積A與流量q的 圖15係設定本發明之入口 LEC時,本發明微小流量控制裝 相關圖。 圖 16係閥特性為等百 分比(EQ)型時之臨界長度的分類 32 200827570 圖。 圖17係賦與等百分比型閥特性之本發明微小流量控制 裝置之主節流槽之截面積A與流量q的相關圖。 圖8係賦與等百刀比型闕特性之本發明微小流量控制 裝置之主節流槽之截面積A與流量q的相關圖。 節流槽之節流槽的概略 19係具有本發明之短入口= is a correlation diagram between the cross-sectional area A and the flow rate Q of the main throttle groove of the micro flow rate control device of the present invention which is characterized by linear valve characteristics. The figure is a correlation diagram between the cross-sectional area A of the main throttle groove and the flow rate Q of the micro flow control device of the present invention which is characterized by linear valve characteristics. Figure 14 is a schematic view of a throttle groove having a non-similar cross section. The cross-sectional area A and the flow rate q of the length of the throttle groove are the quasi-critical length. Fig. 15 is a diagram showing the micro flow control device of the present invention when the inlet LEC of the present invention is set. Figure 16 is a classification of critical lengths when the valve characteristics are equal to the percentage (EQ). 32 200827570 Figure. Fig. 17 is a correlation diagram of the cross-sectional area A and the flow rate q of the main throttle groove of the micro flow rate control device of the present invention which is given the equal percentage type valve characteristics. Fig. 8 is a correlation diagram of the cross-sectional area A and the flow rate q of the main throttle groove of the micro flow rate control device of the present invention which is given the characteristics of the equal-knife ratio type. Outline of the throttle groove of the throttle groove 19 has the short inlet of the present invention
圖20係本發明之短人口節流槽之長度的導出過程圖。 圖h係習知之流量控制閥的組裝分解立體圖。 圖22係形成於圖21之金屬闕 土層岡之即流槽的俯視圖。 圖2 3係表示在未具備入口銘法姚 、侑人即流槽之習知型微小流量控 制裝置,流體黏度大小產生對升鋥 王了开程之即流槽截面積與流量 之關係之影響的相關圖。 【主要元件符號說明】 2 閥體 4 節流槽 6 主節流槽 8 入口節流槽 10 流量調整滑件 10a 滑接位置 10b 箭頭 12 流入路 14 流出路 15 流入部 33 200827570 16 入口節流槽之始端截面 18 主節流槽之始端端面 19 入口節流槽之終端截面 20 流體流出口 22 流出部 24 滑動範圍 24a 全開位置 24b 全閉位置Figure 20 is a diagram showing the derivation process of the length of the short population throttle of the present invention. Figure h is an assembled exploded perspective view of a conventional flow control valve. Fig. 22 is a plan view showing a flow groove formed in the metal ruthenium layer of Fig. 21. Fig. 2 shows the influence of the fluid viscosity on the relationship between the cross-sectional area of the trough and the flow rate in the process of the rise of the king. Related diagrams. [Main component symbol description] 2 Valve body 4 Throttle groove 6 Main throttle groove 8 Inlet throttle groove 10 Flow adjustment slider 10a Sliding position 10b Arrow 12 Inflow path 14 Outflow path 15 Inflow part 33 200827570 16 Inlet throttle groove Starting end section 18 Starting end face of main throttling groove 19 End section of inlet chute 20 Fluid outflow port 22 Outflow section 24 Sliding range 24a Fully open position 24b Fully closed position
26 管路 26a 微小圓柱 102 金屬閥 103 閥體 103a 入口流路用槽部 104 節流槽 110 閥座 113 貫穿孔 114 出口流路 114a 閥出口 3426 Piping 26a Tiny cylinder 102 Metal valve 103 Valve body 103a Inlet flow channel groove 104 Throttle groove 110 Valve seat 113 Through hole 114 Outlet flow path 114a Valve outlet 34
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WO2008146467A1 (en) * | 2007-05-24 | 2008-12-04 | Front Co., Ltd. | Flow control valve, dial position deciding scale for the flow control valve, dial position deciding device, dial position deciding program, and storage medium stored with the program |
JP5753402B2 (en) * | 2011-02-25 | 2015-07-22 | 株式会社ハーマン | Gas amount control device |
FR3011609B1 (en) * | 2013-10-09 | 2016-03-11 | Snecma | VALVE DESIGN METHOD AND VALVE DEVICE |
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JPS61105625A (en) * | 1984-10-29 | 1986-05-23 | Hitachi Ltd | Mass flow controller |
FR2605630B1 (en) * | 1986-10-22 | 1989-06-30 | Roussel Uclaf | PROCESS FOR THE PREPARATION OF OCTAHYDROINDOLE DERIVATIVES AND PREPARATION INTERMEDIATES |
JPH01261575A (en) * | 1988-04-13 | 1989-10-18 | Takaura Seisakusho:Kk | Rod slide type valve |
JPH09317918A (en) * | 1996-05-31 | 1997-12-12 | Fuji Photo Film Co Ltd | Manufacture of flow control valve and photosensitive fluid |
JP3589144B2 (en) * | 2000-03-27 | 2004-11-17 | 関西化工株式会社 | Flow control valve |
JP2006153140A (en) * | 2004-11-29 | 2006-06-15 | Fujikin Inc | Minute flow rate controller |
JP2006153141A (en) * | 2004-11-29 | 2006-06-15 | Fujikin Inc | Minute flow rate controller with entrance channel |
CN101568754B (en) * | 2006-12-28 | 2011-05-25 | 株式会社富士金 | Method of designing minute flow rate controller with entrance throttle groove |
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TWI315367B (en) | 2009-10-01 |
JP4884758B2 (en) | 2012-02-29 |
JP2007162788A (en) | 2007-06-28 |
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