JPH01234676A - Valve device - Google Patents

Valve device

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Publication number
JPH01234676A
JPH01234676A JP6028088A JP6028088A JPH01234676A JP H01234676 A JPH01234676 A JP H01234676A JP 6028088 A JP6028088 A JP 6028088A JP 6028088 A JP6028088 A JP 6028088A JP H01234676 A JPH01234676 A JP H01234676A
Authority
JP
Japan
Prior art keywords
valve
inclination angle
tapered
valve body
seat
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
JP6028088A
Other languages
Japanese (ja)
Inventor
Shozo Kanamori
庄三 金森
Yoshiyuki Okutsu
奥津 良之
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Azbil Corp
Original Assignee
Azbil Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Azbil Corp filed Critical Azbil Corp
Priority to JP6028088A priority Critical patent/JPH01234676A/en
Publication of JPH01234676A publication Critical patent/JPH01234676A/en
Pending legal-status Critical Current

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Abstract

PURPOSE:To enhance the cavitation characteristic by making the angle of inclination of the one of two tapered peripheral surfaces formed in a valve element, which is adapted to be seated on a seat surface of a valve seat. CONSTITUTION:Two tapered peripheral surfaces 23a, 23b respectively having different angles theta1, theta2 of inclination and connected with each other are formed in a valve element 23 disposed on the axis of a seat ring 21 and adapted to control the opening and closing of a fluid passage 22. Of two these tapered peripheral surfaces, the one 23a adapted to be seated on a tapered seat surface 21a of the seat ring 21 has its angle theta1 which is set to be smaller than the angle theta2 of the other inclined peripheral surface 23b. With this arrangement, it is possible to delay occurrence of cavitation upon valve-opening.

Description

【発明の詳細な説明】 〔産業上の利用分野〕 本発明は、弁体の昇降によって流体通過孔を開閉制御す
る弁装置に関する。
DETAILED DESCRIPTION OF THE INVENTION [Field of Industrial Application] The present invention relates to a valve device that controls opening and closing of a fluid passage hole by raising and lowering a valve body.

〔従来の技術〕[Conventional technology]

従来、この種の弁装置としては種々色々なものが知られ
ており、この中には第5図に示すストレートスルー型の
ものがある。これを同図に基づいて説明すると、同図に
おいて、符号1で示すものは三方向に開口する弁本体で
、内部には仕切壁2によって流入側隔室3と流出側隔室
4が形成されている。この弁本体1の仕切壁2には軸線
方向に開口するリング取付孔5が設けられており、この
リング取付孔5には前記両隅室3,4に連通ずる流体通
過孔6を有する弁座としてのシートリング7が固定され
ている。8は軸線方向に開口する挿通孔9を有する上蓋
で、前記弁本体1上にスタ・ノトボルト10およびナツ
ト11によって固定されている。12は前記流体通過孔
6を開閉制御する弁体で、前記シートリング7の軸線上
に進退自在に設けられ、かつ前記挿通孔9を挿通ずるス
テム13に取り付りられている。14は前記弁体12を
案内するガイドリングで、前記弁本体1の内部に固定さ
れている。
Various types of valve devices of this type have been known in the past, including a straight-through type shown in FIG. This will be explained based on the figure. In the figure, what is indicated by reference numeral 1 is a valve body that opens in three directions, and an inflow side compartment 3 and an outflow side compartment 4 are formed inside by a partition wall 2. ing. A ring mounting hole 5 opening in the axial direction is provided in the partition wall 2 of the valve body 1, and the ring mounting hole 5 has a valve seat having a fluid passage hole 6 communicating with the corner chambers 3 and 4. A seat ring 7 is fixed. Reference numeral 8 denotes an upper cover having an insertion hole 9 opening in the axial direction, and is fixed onto the valve body 1 with a star bolt 10 and a nut 11. Reference numeral 12 denotes a valve body for controlling opening and closing of the fluid passage hole 6, which is provided so as to be movable forward and backward on the axis of the seat ring 7, and is attached to a stem 13 that is inserted through the insertion hole 9. A guide ring 14 guides the valve body 12 and is fixed inside the valve body 1.

〔発明が解決しようとする課題〕[Problem to be solved by the invention]

ところで、この種の弁装置における弁体としては、第6
図に示すようにテーパ周面の傾き角度がθである着座部
15aが設けられた弁体15によって構成されており、
このうちテーパ周面の傾き角度θは弁閉時に流体圧の締
め切りを良好にすることから通常θ−30°、45° 
(着座部15aの平面幅tはt=1〜3m)に設定され
ている。
By the way, the sixth valve body in this type of valve device is
As shown in the figure, it is constituted by a valve body 15 provided with a seating portion 15a whose tapered peripheral surface has an inclination angle of θ,
Among these, the inclination angle θ of the taper circumferential surface is usually θ -30°, 45° because it improves the shutoff of fluid pressure when the valve is closed.
(The plane width t of the seating portion 15a is set to t=1 to 3 m).

このような弁装置においては、弁開時に第7図に矢印A
、B、Cで示すように弁体15あるいはシートリング1
6の近傍に発生ずるキャビテーションがその発生部位に
よって3つに区別することができ、各キャビテーション
は弁開度の大きさ (閉−開)に応して順次発生ずるこ
とが知られている。
In such a valve device, when the valve is opened, the arrow A in FIG.
, B, C, the valve body 15 or seat ring 1
It is known that the cavitation that occurs in the vicinity of 6 can be classified into three types depending on the location where it occurs, and that each cavitation occurs sequentially depending on the size of the valve opening (closed - open).

ここで、矢印へ部分で発生ずるキャビテーションに注目
すると、着座部15aが傾き角度θ−3o°。
Here, if we pay attention to the cavitation that occurs in the direction of the arrow, the seating portion 15a is tilted at an angle of θ-3o°.

45°をもつ場合には、第8図に示す実験データグラフ
から分かるように他の傾き角度をもつ場合よりキャビテ
ーションが発生し易くなり、すなわち弁部後の差圧が低
い値でキャビテーションが発生しているのである。同図
は着座部15aの傾き角度によるキャビテーション初生
値の変化を示しており、縦軸および横軸はキャビテーシ
ョン係数σと流量係数cdを表し、 σ−(P2−P ν)/ (PI−P2)。
As can be seen from the experimental data graph shown in Figure 8, when the angle of inclination is 45°, cavitation is more likely to occur than when the angle of inclination is other than that; in other words, cavitation occurs when the differential pressure after the valve is low. -ing The figure shows the change in the initial value of cavitation depending on the inclination angle of the seating part 15a, and the vertical and horizontal axes represent the cavitation coefficient σ and the flow coefficient cd, and σ-(P2-P ν)/(PI-P2) .

cd= v、/、、7+2(p、−pz)/ρ+ 4−
■、2 テある。
cd=v,/,,7+2(p,-pz)/ρ+4-
■、2 There is.

ただし、Pl :1次側圧力 P2 :2次側圧力 Pν:飽和蒸気圧 ρ :流体の密度 vl、配管内流速とする。However, Pl: Primary side pressure P2: Secondary pressure Pν: saturated vapor pressure ρ: fluid density vl is the flow velocity in the pipe.

したがって、この種の弁装置においては、キャビテーシ
ョン特性が悪く、弁としての性能1機能および寿命が低
いものであった。
Therefore, this type of valve device has poor cavitation characteristics, and has a low performance and service life as a valve.

この場合、着座部15aの傾き角度θは弁の締切性能が
大きく左右されており、このため傾き角度θをθ≧45
°に設定することは実質的に不可能であり、また傾き角
度θをθ≦20°に設定することは弁体15の着座部1
5aがシートリング16のシート面16aに食い込んで
円滑に作動しなくなる。
In this case, the inclination angle θ of the seating portion 15a greatly affects the shutoff performance of the valve, and therefore the inclination angle θ is set to θ≧45.
It is virtually impossible to set the inclination angle θ to θ≦20°, and it is impossible to set the inclination angle θ to θ≦20°.
5a bites into the seat surface 16a of the seat ring 16 and does not operate smoothly.

本発明はこのような事情に鑑みなされたもので、キャビ
テーション特性を高めることができ、もって弁としての
性能9機能および寿命を向上させることができる弁装置
を提供するものである。
The present invention has been made in view of the above circumstances, and it is an object of the present invention to provide a valve device that can improve the cavitation characteristics, thereby improving the performance and life of the valve.

〔課題を解決するための手段〕[Means to solve the problem]

本発明に係る弁装置は、弁体に各々が互いに大小異なる
傾き角度θ1.θ2をもちかつ連接する2つのテーパ周
面を形成し、これら両テーパ周面のうち弁座のシート面
に着座するテーパ周面の傾き角度θ、を他のテーパ周面
の傾き角度θ2より小さい角度に設定したものである。
In the valve device according to the present invention, the valve body has an inclination angle θ1. θ2 and two connected taper circumferential surfaces are formed, and among these two taper circumferential surfaces, the inclination angle θ of the taper circumferential surface that is seated on the seat surface of the valve seat is smaller than the inclination angle θ2 of the other taper circumferential surfaces. It is set at an angle.

また、本発明と別の発明に係る弁装置は、弁座に各々が
互いに大小異なる傾き角度θ3.θ4をもちかつ連接す
る2つのテーパ周面を形成し、これら両テーパ周面のう
ち弁体の着座面が着座するテーパ周面の傾き角度θ3を
他のテーパ周面の傾き角度θ、より小さい角度に設定し
たものである。
Further, in a valve device according to another invention, the valve seat has an inclination angle θ3. θ4 and two connected taper circumferential surfaces are formed, and among these taper circumferential surfaces, the inclination angle θ3 of the taper circumferential surface on which the valve body seating surface is seated is smaller than the inclination angle θ of the other taper circumferential surface. It is set at an angle.

〔作 用〕 本発明においては、各々が互いに大小異なる傾き角度を
もつ2つのテーパ周面によっ・て弁開時のキャビテーシ
ョンの発生を遅らせることができる。
[Function] In the present invention, the occurrence of cavitation when the valve is opened can be delayed by the two tapered circumferential surfaces each having an inclination angle different in size from each other.

〔実施例〕〔Example〕

以下、本発明の構成等を図に示す実施例によって詳細に
説明する。
EMBODIMENT OF THE INVENTION Hereinafter, the structure etc. of this invention will be explained in detail by the Example shown in the figure.

第1図(alおよび(blは本発明に係る弁装置の要部
を示す正面図とそのF部分の拡大図で、同図以下におい
て第5図と同一の部材およびこの部材に相当する部材に
ついては同一の符号を付し、詳細な説明は省略する。同
図において、符号21で示すものは流入側隔室3(第5
図に図示)と流出側隔室4(第5図に図示)に連通ずる
流体通過孔22を有する弁座としてのシートリングで、
前記リング取付孔5(第5図に図示)内に固定されてお
り、開口端部には後述する弁体の着座部が着座するシー
ト面としてのテーパ周面21aが形成されている。23
は前記流体通過孔22を開閉制御する弁体で、前記シー
トリング21の軸線上に進退自在に設けられている。こ
の弁体23には、各々が互いに大小異なる傾き角度θ2
.θ2をもち、かつ連接する2つのテーパ周面23a、
23bが形成されている。そして、これら両テーパ周面
23a、23bのうち前記シー1−リング21のテーパ
周面21aに着座するテーパ周面23aの傾き角度θ1
は、他のテーパ面23bの傾き角度θ2より小さい角度
(例えばθ1−30°とθ2−60°)に設定されてい
る。また、弁体23の流量制御部23cは、周囲が直径
44龍の寸法に設定され、各テーパ周面23a、23b
の最大周囲が各々46mmと4811の寸法に設定され
ている。これにより、同図に示ずテーパ周面23a、2
3bの平面幅1..12がLI+j2−1龍の寸法とな
る。
Figure 1 (al and (bl) are a front view showing the main parts of the valve device according to the present invention and an enlarged view of the F part thereof. In the following figures, the same members as those in Figure 5 and members corresponding to these members are shown. are denoted by the same reference numerals, and detailed explanation will be omitted.
A seat ring serving as a valve seat has a fluid passage hole 22 that communicates with the outflow compartment 4 (shown in FIG. 5) and the outflow compartment 4 (shown in FIG. 5).
It is fixed in the ring attachment hole 5 (shown in FIG. 5), and a tapered peripheral surface 21a is formed at the open end as a seat surface on which a seating portion of a valve body, which will be described later, is seated. 23
is a valve body that controls opening and closing of the fluid passage hole 22, and is provided on the axis of the seat ring 21 so as to be movable forward and backward. This valve body 23 has an inclination angle θ2 that is different in size from each other.
.. two connected tapered peripheral surfaces 23a having θ2;
23b is formed. Of these tapered circumferential surfaces 23a and 23b, the tapered circumferential surface 23a seated on the tapered circumferential surface 21a of the sealing ring 21 has an inclination angle θ1.
is set to an angle smaller than the inclination angle θ2 of the other tapered surfaces 23b (for example, θ1-30° and θ2-60°). Further, the flow rate control portion 23c of the valve body 23 has a circumference set to a diameter of 44 mm, and each tapered peripheral surface 23a, 23b.
The maximum circumferences of are set to 46 mm and 4811, respectively. As a result, the tapered peripheral surfaces 23a, 2 (not shown in the figure)
3b plane width 1. .. 12 is the dimension of LI+j2-1 dragon.

このように構成された弁装置においては、各々が互いに
大小異なる傾き角度をもつ2つのテーパ周面23a 、
 23bによって弁開時のキャビテーションの発生を遅
らせることができる。
In the valve device configured in this way, two tapered circumferential surfaces 23a each having an inclination angle different in size from each other,
23b can delay the occurrence of cavitation when the valve is opened.

このことば、第2図に示すグラフからも理解することが
でき、本発明における弁装置のキャビテーション特性を
確実に高めることができる。ここで、キャビテーション
はP+ −4,0kgf/cn!abs、とすると従来
においてP2 = 1.8 kgf/cn!abs、で
発生したものが本発明においてP2=0.8 kgf/
colabs、で発生ずるまでに改善される。
This can be understood from the graph shown in FIG. 2, and the cavitation characteristics of the valve device according to the present invention can be surely improved. Here, cavitation is P+ -4,0kgf/cn! abs, in the past, P2 = 1.8 kgf/cn! In the present invention, what is generated in abs is P2=0.8 kgf/
Colabs.

また、本発明においては、2つのテーパ面23a。Moreover, in the present invention, two tapered surfaces 23a.

23bによって流線が変化し、その流量特性曲線が第3
図に示すように理想曲線Gに接近して流量特性を改善す
ることができた。
23b changes the streamline, and the flow rate characteristic curve changes to the third
As shown in the figure, it was possible to approach the ideal curve G and improve the flow characteristics.

なお、本実施例においては、弁体23に各々が互いに大
小異なる2つのテーパ面23a、23bを形成する例を
示したが、本発明はこれに限定されるものではなく、第
4図に示すように弁座31にテーパ周面31a、31b
を形成してもよく、あるいは双方の部位にテーパ周面(
図示せず)を形成しても実施例と同様の効果を期待する
ことができる。この場合、テーパ周面31a、31bは
各々が互いに大小異なる傾き角度θ3.θ4をもちかつ
連接している。これら両テーパ周面31a、31bのう
ち弁体32の着座面32aが着座するテーパ周面31a
の傾き角度θ3を他のテーパ周面31bの傾き角度θ4
より小さい傾き角度に設定し、かつテーパ周面31aの
平面幅t3をテーパ周面31bの平面幅t4より小さい
寸法に設定する。
In this embodiment, an example is shown in which two tapered surfaces 23a and 23b, each having a different size from the other, are formed on the valve body 23, but the present invention is not limited to this, and as shown in FIG. The valve seat 31 has tapered peripheral surfaces 31a and 31b.
Alternatively, both parts may have a tapered peripheral surface (
(not shown), the same effects as in the embodiment can be expected. In this case, the tapered peripheral surfaces 31a and 31b each have an inclination angle θ3. It has θ4 and is connected. Among these tapered peripheral surfaces 31a and 31b, a tapered peripheral surface 31a on which the seating surface 32a of the valve body 32 is seated.
The inclination angle θ3 is the inclination angle θ4 of the other tapered circumferential surface 31b.
The inclination angle is set to be smaller, and the planar width t3 of the tapered peripheral surface 31a is set to be smaller than the planar width t4 of the tapered peripheral surface 31b.

また、本実施例おいては、テーパ周面31a、31bの
傾き角度θ1.θ2をθ1−30°とθ2−60°に設
定し、かつテーパ周面31a、31bの平面幅tl+j
2をjl+j2 =i mmに設定する場合を示したが
、本発明はこれに限定されず、テーパ周面31a、31
bの傾き角度θ4.θ2がθ1≦θ2の関係を満足する
ものであるならば他の傾き角度、平面幅に設定しても何
等差し支えない。ただし、実験によれば傾き角度θ1.
θ、が20°≦θ1≦50°、50’<θ2≦900、
θ2−θ、≧5°を満足し、かつ平面幅tI+t2が0
.5 m≦(tl、 t2)を満足することが望ましい
Further, in this embodiment, the inclination angle θ1. θ2 is set to θ1-30° and θ2-60°, and the plane width tl+j of the tapered peripheral surfaces 31a and 31b
2 is set to jl+j2 = i mm, but the present invention is not limited to this, and the tapered peripheral surfaces 31a, 31
The inclination angle θ4 of b. As long as θ2 satisfies the relationship θ1≦θ2, there is no problem in setting other inclination angles and plane widths. However, according to experiments, the tilt angle θ1.
θ is 20°≦θ1≦50°, 50'<θ2≦900,
θ2-θ, ≧5° is satisfied, and the plane width tI+t2 is 0
.. It is desirable that m≦(tl, t2) be satisfied.

〔発明の効果〕〔Effect of the invention〕

以上説明したように本発明によれば、弁体に各々が互い
に大小異なる傾き角度θ1.θ2をもちかつ連接する2
つのテーパ周面を形成し、これら両テーパ周面のうち弁
座のシート面に着座するテーパ周面の傾き角度θ1を他
のテーパ周面の傾き角度θ2より小さい角度に設定した
ので、弁開時のキャビテーションの発生を遅らせること
ができる。
As explained above, according to the present invention, the valve body has inclination angles θ1. 2 that has θ2 and is connected
The inclination angle θ1 of the taper circumferential surface that sits on the seat surface of the valve seat is set to be smaller than the inclination angle θ2 of the other taper circumferential surfaces, so that the valve can be opened. can delay the occurrence of cavitation.

したがって、キャビテーション特性を確実に高めること
ができるから、弁としての性能1機能および寿命を向上
させることができる。また、各傾き角度が異なる2つの
テーパ周面によって流線が変化することになり、流量特
性を改善できるといった利点もある。
Therefore, since the cavitation characteristics can be reliably improved, the performance and service life of the valve can be improved. Furthermore, the streamlines change due to the two tapered circumferential surfaces having different inclination angles, which has the advantage of improving flow characteristics.

【図面の簡単な説明】[Brief explanation of the drawing]

第1図(a+および(b)は本発明に係る弁装置の要部
を示す正面図とそのF部分の拡大図、第2図は本発明の
弁体におけるテーパ周面の傾き角度によるキャビテーシ
ョン初生値の変化を示す図、第3図はその流量特性を示
す図、第4図は本発明と別の発明に係る弁装置の要部を
示す断面図、第5図は従来の弁装置の全体を示す断面図
、第6図はその要部を示す断面図、第7図はキャビテー
ションの発生状態を示す断面図、第8図は従来の弁体に
おけるテーパ周面の傾き角度によるギヤビテーション初
生値の変化を示す図である。 21・・・・シートリング、22・・・・流体通過孔、
23・・・・弁体、23a、23b・・・・テーパ周面
、θ8.θ2 ・・・・傾き角度。
Fig. 1 (a+ and b) is a front view showing the main parts of the valve device according to the present invention and an enlarged view of the F part thereof, Fig. 2 is the occurrence of cavitation due to the inclination angle of the tapered peripheral surface in the valve body of the present invention. Figure 3 is a diagram showing the flow rate characteristics, Figure 4 is a sectional view showing the main parts of the valve device according to the present invention and another invention, and Figure 5 is the entire conventional valve device. FIG. 6 is a cross-sectional view showing the main part of the valve body, FIG. 7 is a cross-sectional view showing how cavitation occurs, and FIG. 8 shows the initial occurrence of gearvitation due to the inclination angle of the taper circumferential surface in a conventional valve body. It is a diagram showing changes in values. 21...Seat ring, 22...Fluid passage hole,
23... Valve body, 23a, 23b... Tapered peripheral surface, θ8. θ2...Inclination angle.

Claims (2)

【特許請求の範囲】[Claims] (1)弁本体内に設けられ流入側隔室および流出側隔室
に連通する流体通過孔を有する弁座(21)と、この弁
座(21)の軸線上に進退自在に設けられ前記流体通過
孔を開閉制御する弁体(23)とを備えた弁装置におい
て、前記弁体(23)に各々が互いに大小異なる傾き角
度(θ_1)、(θ_2)をもちかつ連接する2つのテ
ーパ周面(23a、23b)を形成し、これら両テーパ
周面(23a)、(23b)のうち前記弁座(21)の
シート面(21a)に着座するテーパ周面(23a)の
傾き角度(θ_1)を他のテーパ周面の傾き角度(θ_
2)より小さい角度に設定したことを特徴とする弁装置
(1) A valve seat (21) provided in the valve body and having a fluid passage hole communicating with an inflow-side compartment and an outflow-side compartment; In a valve device including a valve body (23) for controlling opening and closing of a passage hole, the valve body (23) has two connected tapered circumferential surfaces each having an inclination angle (θ_1) and (θ_2) different in size from each other. (23a, 23b), and the inclination angle (θ_1) of the taper peripheral surface (23a) that sits on the seat surface (21a) of the valve seat (21) among both tapered peripheral surfaces (23a) and (23b) is the inclination angle of the other taper circumferential surface (θ_
2) A valve device characterized by being set at a smaller angle.
(2)請求項1記載の弁装置において、弁座(31)に
各々が互いに大小異なる傾き角度(θ_3)、(θ_4
)をもちかつ連接する2つのテーパ周面(31a)、(
31b)を形成し、これら両テーパ周面(31a)、(
31b)のうち弁体(32)の着座面(32a)が着座
するテーパ周面(31a)の傾き角度θ_3を他のテー
パ周面(31b)の傾き角度θ_4より小さい角度に設
定したことを特徴とする弁装置。
(2) In the valve device according to claim 1, the valve seat (31) has inclination angles (θ_3) and (θ_4) that are different in size from each other.
) and two connected tapered peripheral surfaces (31a), (
31b), and both tapered peripheral surfaces (31a), (
31b), the inclination angle θ_3 of the tapered circumferential surface (31a) on which the seating surface (32a) of the valve body (32) is seated is set to be smaller than the inclination angle θ_4 of the other taper circumferential surface (31b). valve device.
JP6028088A 1988-03-16 1988-03-16 Valve device Pending JPH01234676A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP6028088A JPH01234676A (en) 1988-03-16 1988-03-16 Valve device

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP6028088A JPH01234676A (en) 1988-03-16 1988-03-16 Valve device

Publications (1)

Publication Number Publication Date
JPH01234676A true JPH01234676A (en) 1989-09-19

Family

ID=13137577

Family Applications (1)

Application Number Title Priority Date Filing Date
JP6028088A Pending JPH01234676A (en) 1988-03-16 1988-03-16 Valve device

Country Status (1)

Country Link
JP (1) JPH01234676A (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH03277883A (en) * 1990-03-23 1991-12-09 Matsushita Electric Ind Co Ltd Fluid control valve
US6497953B1 (en) 1998-10-09 2002-12-24 Cabot Corporation Polymeric fibers and spinning processes for making said polymeric fibers

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH03277883A (en) * 1990-03-23 1991-12-09 Matsushita Electric Ind Co Ltd Fluid control valve
US6497953B1 (en) 1998-10-09 2002-12-24 Cabot Corporation Polymeric fibers and spinning processes for making said polymeric fibers

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