TWI784433B - Regenerator structure design - Google Patents
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本案係關於一種再生器的結構設計,特別是一種具有較高熱傳效率的再生器。This case is about the structural design of a regenerator, especially a regenerator with high heat transfer efficiency.
「再生器」係許多引擎及製冷機等循環機的重要組件,其主要目的係進行熱能的回收。以史特林氣體引擎(Stirling Engine)為例,當高溫氣體自再生器的一端流入再生器時,氣體會將熱能傳遞給再生器中之吸熱材料,使氣體預先冷卻成為低溫氣體後再進入低溫區;相對地,當低温氣體自再生器另一端流入再生器時,便會吸收該吸熱材料中原先所儲存之熱能,使氣體先預熱成為高溫氣體後再進入高溫區。藉此,即可將氣體等體積排熱過程所排出的熱量,用於提供氣體在等體積吸熱升溫過程時所需的熱量,達到氣體預冷預熱之效果,進而減少循環機對外界能源的需求及損耗,以提升整體裝置效率。"Regenerator" is an important component of many engines and cycle machines such as refrigerators, and its main purpose is to recover heat energy. Taking the Stirling Engine as an example, when the high-temperature gas flows into the regenerator from one end of the regenerator, the gas will transfer heat energy to the heat-absorbing material in the regenerator, so that the gas is pre-cooled into a low-temperature gas and then enters the low-temperature gas. Relatively, when the low-temperature gas flows into the regenerator from the other end of the regenerator, it will absorb the heat energy originally stored in the heat-absorbing material, so that the gas is preheated into a high-temperature gas before entering the high-temperature zone. In this way, the heat discharged during the process of equal-volume heat removal of the gas can be used to provide the heat required by the gas during the process of equal-volume heat absorption and temperature rise, so as to achieve the effect of pre-cooling and pre-heating the gas, thereby reducing the external energy consumption of the cycle machine. demand and losses to improve overall device efficiency.
因此,承上所述,再生器對於循環機的效率具有重要的影響性。對於一理想的再生器而言,需盡可能快速地傳遞流體以及減少其自身熱能的散失,才可更有效地進行熱交換,提升熱傳效率以減少循環機對於外界能量的需求。Therefore, following the above, the regenerator has an important influence on the efficiency of the cycle machine. For an ideal regenerator, it is necessary to transfer fluid as quickly as possible and reduce the loss of its own heat energy, so as to perform heat exchange more effectively, improve heat transfer efficiency and reduce the demand for external energy of the cycler.
鑑於上述,本案提供一種再生器,其沿軸向方向延伸並具有多孔結構,再生器具有高溫流體出入口以及低溫流體出入口,分別位於再生器於軸向方向上的兩端;其中,再生器在其徑向上之孔隙率,在由再生器之外側往再生器之內部的方向上,具有由低至高的梯度變化。In view of the above, this case provides a regenerator, which extends in the axial direction and has a porous structure. The regenerator has a high-temperature fluid inlet and a low-temperature fluid inlet and outlet, which are respectively located at both ends of the regenerator in the axial direction; wherein, the regenerator is in its The porosity in the radial direction has a gradient from low to high in the direction from the outside of the regenerator to the inside of the regenerator.
藉由使沿軸向延伸之再生器,在其徑向上之孔隙率自外周向中心呈現由低至高(亦即緻密至疏鬆)的梯度變化,即可讓流體於再生器內部之分佈因流阻的不同而受到控制,使流體在流經再生器時可集中於再生器的中央部分而非靠近外周之區域。是以,當再生器設置於管體中使用時,由於減少了再生器外側區域的流體流量,因此便可減少流體流經於外壁附近時,因與管壁接觸或輻射至外部所產生的熱散失。By making the regenerator extending in the axial direction, the porosity in the radial direction presents a gradient change from low to high (that is, dense to loose) from the outer circumference to the center, so that the distribution of the fluid inside the regenerator can be determined by the flow resistance. The difference of the regenerator is controlled so that the fluid can be concentrated in the central part of the regenerator instead of the area near the outer periphery when flowing through the regenerator. Therefore, when the regenerator is used in the pipe body, since the fluid flow in the outer area of the regenerator is reduced, the heat generated by the fluid flowing near the outer wall due to contact with the pipe wall or radiated to the outside can be reduced. lost.
此外,在另一些實施例中,再生器除了徑向上之孔隙率具有梯度變化外,其軸向上之孔隙率亦可具有梯度變化。具體而言,再生器在其徑向上之孔隙率,除了在由再生器之外側往再生器之內部的方向上,具有由低至高的梯度變化外,再生器在其軸向上之孔隙率,在由低溫流體出入口往高溫流體出入口的方向上,亦可具有由低至高的梯度變化。In addition, in other embodiments, in addition to having a gradient change in porosity in the radial direction, the porosity in the axial direction of the regenerator may also have a gradient change. Specifically, the porosity of the regenerator in its radial direction has a gradient from low to high except that it has a gradient from low to high in the direction from the outside of the regenerator to the inside of the regenerator, and the porosity of the regenerator in its axial direction is In the direction from the low-temperature fluid inlet and outlet to the high-temperature fluid inlet and outlet, there may also be a gradient change from low to high.
藉由進一步使再生器軸向上之孔隙率,自低溫端向高溫端呈現由低至高(亦即緻密至疏鬆)的梯度變化,即可在保留傳熱量的前提下,提升再生器內流體之流速,進而更進一步地提升再生器的整體效率。By further making the axial porosity of the regenerator change from low to high (that is, dense to loose) from the low temperature end to the high temperature end, the flow rate of the fluid in the regenerator can be increased under the premise of retaining heat transfer , and further improve the overall efficiency of the regenerator.
本案係提供一種再生器,其在徑向上之孔隙率具有自外側向中心呈由低至高(亦即緻密至疏鬆)的梯度變化,以讓流體在流經再生器時集中於其中央部分而非靠近管壁之區域,減少流體於再生器的熱散失,以提升再生器之熱傳效率。This case provides a regenerator whose porosity in the radial direction has a gradient from low to high (that is, dense to loose) from the outside to the center, so that the fluid can be concentrated in the central part of the regenerator instead of The area close to the pipe wall reduces the heat loss of the fluid in the regenerator to improve the heat transfer efficiency of the regenerator.
請先參閱圖1。圖1係根據本案一實施例所繪製之再生器1的立體示意圖。再生器1可呈柱體,並具有一延伸軸A。在一些實施例中,再生器1垂直延伸軸A之截面形狀除如圖1中所示的圓形外,亦可為其他例如矩形、多邊形、橢圓形等形狀。於本案中,為了使說明更為簡潔,將皆會以圓柱體之再生器1進行說明。其中,與延伸軸A平行之方向稱為「軸向」;從再生器1之外側往延伸軸A,並與延伸軸A垂直之方向則稱為「徑向」。因此,可搭配參考圖2A,圖2A係圖1所示之再生器1的前視示意圖,當再生器1之截面形狀為圓形時,「徑向」則相當於由圓周往圓心之方向R或由圓心往圓周之方向R’。Please refer to Figure 1 first. FIG. 1 is a schematic perspective view of a
請參閱回圖1。再生器1於使用時會設置於一管體中,而流體(例如氣體)會進入管體中並流經再生器1,使流體與再生器1之間進行熱交換,而後再流出再生器1。再生器1為具有複數孔洞之多孔結構體,並在其軸向上的兩端分別具有高溫流體出入口H1以及低溫流體出入口L1。高溫流體會從高溫流體出入口H1進入至再生器1中,將熱傳遞至再生器1並冷卻成相對較低溫之低溫流體後,從低溫流體出入口L1離開再生器1。相對地,低溫流體會從低溫流體出入口L1進入至再生器1,從再生器1獲得熱而升溫成相對較高溫之高溫流體後,再由高溫流體出入口H1離開再生器1。為方便描述,再生器1具有高溫流體出入口H1的一端稱為高溫端H,而具有低溫流體出入口L1的一端稱為低溫端L。Please refer back to Figure 1. The
如圖1所示,再生器1在其徑向上之孔隙率,在由再生器1之外側往再生器1之內部(延伸軸A)的方向上(亦即在方向R上),具有由低至高的梯度變化。亦即,再生器1之多孔結構體,其外側之孔隙率較低(較為緻密),而內部之孔隙率較高(較為疏鬆)。As shown in Figure 1, the porosity of the
為對再生器1之「徑向上孔隙率的梯度變化」做進一步說明,請接著參閱圖2A。圖2A係圖1所示之再生器1的前視示意圖。在一些實施例中,再生器1之徑向上可具有多層結構,並藉由使用多層結構的方式來使再生器1之徑向上的孔隙率具有梯度變化。在如圖2A所示之實施例中,再生器1之徑向上具有三層的結構,其由內至外分別為第一層101、第二層102、以及第三層103。最內部之第一層101結構最為疏鬆,具有最高之孔隙率。最外部之第三層103結構最為緻密,具有最低之孔隙率。而第二層102之孔隙率則介於兩者之間。因此,在由再生器1之外側往再生器1之內部的方向上(亦即在方向R上),孔隙率具有由低至高的梯度變化。For further description of the "radial porosity gradient" of the
需說明的是,本案所述之「徑向上之孔隙率具有梯度變化」,僅需要是孔隙率在再生器1之徑向上「至少部分」具有梯度變化即可。只要孔隙率在徑向上至少部分具有梯度變化,即可達到讓流體至再生器1外側的流量減少並往中央集中之功效。因此,當圖2A所示之再生器1的多孔結構內部進一步設置有空腔2時(如圖2B所示),由於空腔2不具有孔洞,於本案中將視為不具有孔隙率,但因再生器1之第一層101、第二層102、以及第三層103仍構成梯度變化,故如圖2B所示之再生器1雖並非由最外側至中心上皆具有孔隙率梯度變化,但在徑向上仍部分具有孔隙率梯度變化。因此,如圖2B所示之再生器1仍符合「徑向上之孔隙率具有梯度變化」。It should be noted that “the porosity has a gradient change in the radial direction” mentioned in this case only needs to mean that the porosity “at least partially” has a gradient change in the radial direction of the
另一方面,承上所述,由於孔隙率僅需在再生器1之徑向上「至少部分」具有梯度變化即可,因此再生器1之最外層的孔隙率可以不是最低的(非最緻密的),而再生器1之最內層的孔隙率亦可以不是最高的(非最疏鬆的)。舉例而言,如圖2C所示,再生器1可具有四層結構,由內而外依序為第一層101、第二層102、第三層103、以及第四層104。其中,類似於圖2A之配置,第一層101之孔隙率高於第二層102之孔隙率,而第二層102之孔隙率高於第三層103之孔隙率。但第三層103之孔隙率卻低於第四層104之孔隙率。亦即相較於第三層103,最外層之第四層104較為疏鬆。如此仍可達到讓流體至再生器1外側的流量減少並往中央集中之功效。On the other hand, as mentioned above, since the porosity only needs to have a "at least partial" gradient change in the radial direction of the
當再生器1之最外側具有徑向上最低之孔隙率(最緻密),且再生器1之最內側具有徑向上最高之孔隙率(最疏鬆)時,可讓再生器1靠近管體的外側部分具有最少之流體通過,並讓再生器1之中心有最大量之流體通過,藉此可使再生器1具有最低的熱損失。When the outermost side of the
此外,圖2A至圖2C所示之再生器1,其所具有之層數僅為例示,在其他的實施例中,再生器1亦可僅有二層或四層以上的結構。多層結構中各層之厚度可以相同或相異,且相鄰兩層之間可以彼此接觸或不接觸。只要可符合「在由再生器1之外側往再生器1之內部的方向上,徑向上之孔隙率具有由低至高的梯度變化」即可。In addition, the number of layers of the
本案中所述之一區域的「孔隙率」(或可稱「平均孔隙率」),可藉由於截面上,量測該區域中所含有的孔洞之總面積以及該區域之總面積,以該區域中孔洞之總面積/該區域之總面積的方式獲得;或是藉由量測該區域中孔洞之總體積以及該區域若為實體時之總體積(略稱為「該區域之總體積」),以該區域中孔洞之總體積/該區域之總體積的方式獲得。舉例而言,若是欲藉由面積來計算圖2A所示之再生器1其各層之平均孔隙率,則可將再生器1之截面圖以例如軟體或人工方式判斷每一層中何處為孔洞,再將各孔洞之面積加總得到孔洞之總面積。而後,以該孔洞之總面積除以該層之總面積即可得到該層之平均孔隙率。若是欲藉由體積來計算圖2A所示之再生器1其各層之平均孔隙率,則可使用例如排水法得到每一層所佔有之實際體積,將該實際體積除以該層之總體積後可得到一比值,再以1減去該比值即為該層之平均孔隙率。此外,若已知各區域之材質密度,則亦可藉由量測該區域之重量再除以材質密度,獲得該區域所佔有之實際體積,再以前述方式得到平均孔隙率。The "porosity" (or "average porosity") of a region mentioned in this case can be determined by measuring the total area of the pores contained in the region and the total area of the region on the cross-section. The total area of the holes in the area/the total area of the area; or by measuring the total volume of the holes in the area and the total volume of the area if it is a solid (abbreviated as "the total volume of the area") ), obtained as the total volume of holes in the region/total volume of the region. For example, if it is desired to calculate the average porosity of each layer of the
再生器1中之各層所使用的材料並無特別限制,只要是可用於生成穩定的多孔結構即可。舉例而言,所使用的材料可以是陶瓷、金屬、塑料、或是前述之組合。再生器1中各層之多孔結構可以任何合適於該層材料之方式進行製作,再將具有不同孔隙率之各層進行套設,即可形成本案所述之「徑向上孔隙率具有梯度變化」之再生器1。舉例而言,可藉由添加不同比例之發泡劑於熔融金屬中,產生具有不同孔隙率之多孔金屬體。或是先將不同粒徑、含量之塑料粒或蠟顆粒置入於模型內,再將液態熔融金屬注入至模型內,亦可得到具有不同孔隙率之多孔金屬體。而後再藉由例如雷射等方式對所得到之多孔金屬體進行切割、修整以形成具有不同孔隙率之各層,再將得到之各層進行套設即可形成「徑向上孔隙率具有梯度變化」的再生器1。The material used for each layer in the
在另一些實施例中,亦可於管體內直接形成再生器1。舉例而言,以圖2A所示之再生器1的三層結構為例,可先於管體內置入一金屬棒,在金屬棒與管體之間的空隙內,填入可燒結之粉末(例如金屬顆粒或陶瓷顆粒)後先進行快速燒結,形成再生器1最外層、較緻密的第三層103之多孔結構。而後,抽出金屬棒,換置入另一直徑較小的金屬棒,再於該金屬棒與第三層103之間填入顆粒大小較先前大之可燒結之粉末後進行快速燒結,形成再生器1的第二層102之多孔結構。而後,抽出此直徑較小的金屬棒,再於其剩下的空間中填入顆粒大小更大的可燒結之粉末並進行快速燒結,形成再生器1最內層的第一層101之多孔結構。最後,在對整體以一較高的溫度進行整體燒結,即可得到如圖2A所示之再生器1的三層結構。In some other embodiments, the
在一些實施例中,亦可使用三維列印之方式分別製造出各層之多孔結構,再將各層進行套設後形成再生器1;此外,亦可以是藉由三維列印直接製造出具有徑向梯度變化之再生器1整體。當藉由三維列印直接製造出具有徑向梯度變化之再生器1時,由於不需經過額外組裝,故多層結構之各層厚度可以相對小,進而形成具有較為細緻之徑向孔隙率變化。In some embodiments, three-dimensional printing can also be used to manufacture the porous structure of each layer, and then the layers are nested to form the
以三維列印形成多孔結構之方式,除可直接形成多孔結構體外,亦可藉由使用混合有塑料粒與金屬顆粒之材料先列印出同時含有二者之塊體,再將該塊體經燒結步驟,除去其中所含塑料並使金屬顆粒間進行結合,亦能獲得多孔金屬體。而藉由調整塑料顆粒大小以及塑料與金屬間的比例,可調控生成之多孔金屬體的孔隙率。The method of forming a porous structure by 3D printing, in addition to directly forming a porous structure, can also use a material mixed with plastic particles and metal particles to print a block containing both, and then pass the block through The sintering step, which removes the plastic contained therein and allows bonding between the metal particles, also results in a porous metal body. By adjusting the size of plastic particles and the ratio between plastic and metal, the porosity of the resulting porous metal body can be regulated.
在一些實施例中,亦可不使用三維之多孔結構體來形成再生器1,而是使用二維片狀網材來形成再生器1。舉例而言,如圖3所示之再生器1結構,可先使用具有較低孔隙率(較緻密)之金屬網片堆疊成塊狀後,再使用例如雷射等方式將其進行切割、修整並同時熔接,以得到最外層(即圖3中之第三層103)之結構。接著,再以類似之方式,分別使用孔隙率較高以及更高(較疏鬆)之金屬網片,形成第二層102以及第三層103。而後,再將第一層101、第二層102以及第三層103依序套設即可形成如圖3所示之再生器1。In some embodiments, instead of using a three-dimensional porous structure to form the
接著,請參閱回圖1與圖2A,並配合參考圖4。圖4係根據本案一實施例之再生器1所繪製的孔隙率變化說明圖。如先前所述,再生器1在徑向上可具有多層結構(類似地,只要徑向上至少部分具有多層結構即可),並利用此多層結構使再生器1之徑向上的孔隙率具有梯度變化。在一些實施例中,多層結構中相鄰的三層在徑向上具有相同厚度,且此三層各自所具有之孔隙率間,共同呈現一線性關係。亦即,相鄰的三層中,其各自之孔隙率數值將落於一直線上。Next, please refer back to FIG. 1 and FIG. 2A , and refer to FIG. 4 together. FIG. 4 is an explanatory diagram of porosity changes drawn by the
舉例而言,圖1所示之再生器1結構在一些實施例中,可如圖4所示,其所具有之三層結構,最內部之第一層101位於徑向上0至1/3半徑之間,第二層102位於徑向上1/3半徑至2/3半徑之間,最外部之第三層103則位於2/3半徑至外周之間。其中,若第一層101之孔隙率相對數值為1(最疏鬆),則第二層102之孔隙率相對數值可為0.5,第三層103之孔隙率相對數值可為0.25(最緻密)。故多層結構中相鄰的三層所各自具有之孔隙率,共同呈現一線性關係。For example, in some embodiments, the structure of the
此外,相對於前方所述之「徑向上孔隙率呈『線性』梯度變化」,在另一些實施例中,多層結構中相鄰的三層各自在徑向上具有相同厚度,但此三層各自所具有之孔隙率間,係呈現一非線性關係。亦即,此相鄰的三層中,其各自之孔隙率數值將不會同時落於一直線上。舉例而言,可參考圖5。圖5係根據本案另一實施例之再生器所繪製的孔隙率變化說明圖。圖5類似於圖4,皆為孔隙率變化說明圖,但為使圖面更為簡潔,於圖5中並無繪製出各位置的孔隙率相對值,而是僅標示出再生器1各層之孔隙率相對值。其中,線段51即圖4中之斜直線,用以作為比較對象。In addition, compared to the above-mentioned "porosity in the radial direction shows a "linear" gradient", in other embodiments, the three adjacent layers in the multilayer structure each have the same thickness in the radial direction, but each of the three layers has the same thickness. There is a non-linear relationship between the porosity. That is, in the three adjacent layers, their respective porosity values will not fall on a straight line at the same time. For example, refer to FIG. 5 . Fig. 5 is an explanatory diagram of porosity change drawn by a regenerator according to another embodiment of the present application. Fig. 5 is similar to Fig. 4, both are explanatory diagrams of porosity changes, but in order to make the drawing more concise, the relative values of porosity at each position are not drawn in Fig. 5, but only the layers of the
在一些實施例中,圖1所示之再生器1其所具有之三層結構,可如圖5之線段52所示,最內部之第一層101位於徑向上0至1/3半徑之間,第二層102位於徑向上1/3半徑至2/3半徑之間,最外部之第三層103則位於2/3半徑至外周之間。其中,第一層101之孔隙率相對數值、第二層102之孔隙率相對數值、以及第三層103之孔隙率相對數值三者未同時落於一直線上,故三者呈一非線性關係。In some embodiments, the three-layer structure of the
在一些實施例中,相鄰的三層所對應之孔隙率之間除了呈現非線性關係外,更進一步地,還可具有再生器1外側之孔隙率變化率大於內部之孔隙率變化率的關係。舉例而言,如圖5之線段52所示,再生器1最外側之第三層103與第二層102間的孔隙率變化率(即兩點間斜率的絕對值),大於最內側之第一層101與第二層102間的孔隙率變化率。需說明的是,該「外側」與「內側」僅是表示用於比較的兩區域間的相對位置關係,一者較接近再生器1之外周,一者較接近再生器1的延伸軸A。因此,「外側」並非表示必須包含再生器1整體的最外側;「內側」並非表示必須包含再生器1整體的最內側。類似地,「外側」並非表示必須包含相鄰三層的最外側;「內側」並非表示必須包含相鄰三層的最內側。In some embodiments, in addition to presenting a non-linear relationship among the porosities corresponding to the adjacent three layers, further, there may also be a relationship in which the porosity change rate outside the
作為「外側之孔隙率變化率係大於內部之孔隙率變化率」的一種態樣,可如圖5之線段52所示,再生器1的第一層101之孔隙率相對數值、第二層102之孔隙率相對數值、以及第三層103之孔隙率相對數值三者,係落於一開口朝下之拋物線上。As a form of "the porosity change rate on the outside is greater than the porosity change rate on the inside", as shown in the
藉由使再生器1中至少部分區域中的外側孔隙率變化率大於內側之孔隙率變化率,可讓再生器1在維持低熱散失的情況下,進一步提高流體流速。具體而言,當外側孔隙率變化率大於內側之孔隙率變化率時,由於外側區域(相對緻密區,孔隙率較低)的孔隙率隨著越往再生器1的內部接近,其數值將快速增加,使再生器1中之緻密區的佔有比例較低,即再生器1中大部分皆為相對疏鬆的區域。而因只要外側的一部分具有緻密區(孔隙率較低的區域),即可有效減少流體自內部往再生器1的外側移動,故此配置已可達到降低熱散失之功效。此外,由於依此配置設計之再生器1具有相對較高的疏鬆區比例,故流體在此類再生器1中可具有較高之流速,再生器1與流體之間的熱傳效率可進一步提升。By making the outer porosity change rate greater than the inner porosity change rate in at least part of the
是以,若再生器1之徑向上,於再生器1之外側往再生器1之內部的方向,整體(含有孔隙率的部分)皆呈由低至高的梯度變化,且再生器1含有最外側之區域的孔隙率變化率大於再生器1含有最內側之區域的孔隙率變化率,則此時除可具有較佳之降低熱散失功效外(因可使管體附近之區域具有最少之流量),因再生器1整體具有相對較高的疏鬆區比例,使再生器1可具有較佳之流體流速,而具有較佳之熱傳效率。Therefore, if the radial direction of the
藉由使用前述之各種結構,使再生器在其徑向上之孔隙率自外側(或管體之管壁)向中心呈現由低至高(亦即緻密至疏鬆)的梯度變化,即可讓流體於再生器內部之分佈因流阻的不同而受到控制,使流體在流經再生器時可集中於再生器的中央部分而非靠近管壁之區域。由於減少了再生器外側區域的流體流量,因此便可減少流體流經於外壁附近時,因與管壁接觸或輻射至外部所產生的熱散失。By using the above-mentioned various structures, the porosity of the regenerator in its radial direction presents a gradient change from low to high (that is, dense to loose) from the outside (or the pipe wall of the pipe body) to the center, so that the fluid in the The distribution inside the regenerator is controlled by the difference of flow resistance, so that when the fluid flows through the regenerator, it can be concentrated in the central part of the regenerator instead of the area close to the pipe wall. Since the fluid flow in the outer area of the regenerator is reduced, the heat loss generated by the contact with the tube wall or radiation to the outside when the fluid flows near the outer wall can be reduced.
此外,由於流體被集中至再生器中央部分,故管壁附近之流體將減少。因此,流體與管壁間的摩擦亦可減少,使流體整體於再生器中的平均流速可進一步增加。而當流速增加時,雷諾數(R enumber,R e=ρvd/μ,其中v、ρ、μ分別為流體的流速、密度、黏度,而d在圓形管道中代表管道直徑)亦會增加。當雷諾數增加,即可使流體由層流(laminar flow)轉變為湍流(turbulent flow)。於湍流時,流體流動發生紊亂,形成很多小的漩渦,此時層流邊界層的厚度將會減少。而熱阻主要集中在層流邊界層,因此當邊界層越薄,熱阻就越小,其傳熱係數就越大。是以,再生器與流體之間的熱傳效率可進一步提升。 In addition, since the fluid is concentrated in the central part of the regenerator, the fluid near the pipe wall will be reduced. Therefore, the friction between the fluid and the pipe wall can also be reduced, so that the overall average flow rate of the fluid in the regenerator can be further increased. When the flow rate increases, the Reynolds number (Re number, R e = ρvd/μ, where v, ρ, and μ are the flow rate, density, and viscosity of the fluid, respectively, and d represents the diameter of the pipe in a circular pipe) will also increase . When the Reynolds number increases, the fluid can change from laminar flow to turbulent flow. In turbulent flow, the fluid flow is disturbed and many small eddies are formed, and the thickness of the laminar boundary layer will decrease at this time. The thermal resistance is mainly concentrated in the laminar boundary layer, so when the boundary layer is thinner, the thermal resistance is smaller and the heat transfer coefficient is larger. Therefore, the heat transfer efficiency between the regenerator and the fluid can be further improved.
再者,若使再生器的徑向上進一步具有非線性之梯度孔隙率變化,特別是使再生器外側之孔隙率變化率大於內部之孔隙率變化率,即可讓再生器在維持低熱散失的情況下,進一步提高流體流速。Furthermore, if the radial direction of the regenerator further has a non-linear gradient porosity change, especially if the porosity change rate outside the regenerator is greater than the porosity change rate inside the regenerator, the regenerator can maintain low heat loss. Next, further increase the fluid flow rate.
接著,請參閱圖6。圖6係根據本案一些實施例所繪製之再生器1之立體示意圖。在此些實施例中,再生器1除了徑向上之孔隙率具有梯度變化外,其軸向上之孔隙率亦可具有梯度變化。具體而言,可例如圖6所示,再生器1在其軸向上之孔隙率,在由低溫流體出入口L1往高溫流體出入口H1的方向上,具有由低至高的一梯度變化。亦即,再生器1之低溫端L結構較為緻密,而高溫端H結構較為疏鬆。Next, please refer to Figure 6. Fig. 6 is a schematic perspective view of a
藉由使再生器1軸向上之孔隙率,自低溫端L向高溫端H呈現由低至高(亦即緻密至疏鬆)的梯度變化,即可在保留傳熱量的前提下,提升再生器1內流體之流速,進而更進一步地提升再生器1的整體效率。關於再生器1內流體流速增加的部分,係因再生器1中部分區域的孔隙率增加使流阻下降,因此流體在再生器1中之流量與流速可進而提升;而關於保留傳熱量的部分,係由於將疏鬆區設置於高溫端H,而因流體於高溫端H時與再生器1之間具有較大的溫差,故即便在疏鬆區中具有較高流速的情況下,流體與再生器1之間仍可有較高的傳熱速率來完成熱傳遞。而當流體逐漸降溫來到低溫端L時,雖此時流體與再生器1之間的溫差較小使熱傳速率下降,但因低溫端L設置成緻密區,流體於此區域的流速較低且需經過較長路徑,故可有較充裕的時間使兩者進行熱傳遞。是以,再生器1之總體熱傳量仍可維持。By making the porosity of the
請繼續參閱圖6。前述「再生器1之孔隙率在其軸向上具有梯度變化」,可藉由於再生器1中使用多段結構之方式來達成。舉例而言,如圖6所示,再生器1可具有三段結構。從高溫端H往低溫端L之方向上,依序為第一段A1、第二段A2、以及第三段A3。其中,第三段A3之孔隙率小於第二段A2之孔隙率,第二段A2之孔隙率小於第一段A1之孔隙率。藉此,即可使再生器1之孔隙率在其軸向上具有梯度變化。Please continue with Figure 6. The aforementioned "the porosity of the
但須瞭解的是,圖6中所示之段數僅為例示,在其他的實施例中,再生器1亦可僅有二段或四段以上的結構。多段結構中各段於軸向上之厚度可以相同或相異,且相鄰兩段之間可以有部分彼此不接觸。只要可符合「在由低溫流體出入口L1(或低溫端L)往高溫流體出入口H1(或高溫端H)的方向上,軸向上之孔隙率具有由低至高的梯度變化」即可。However, it should be understood that the number of stages shown in FIG. 6 is only an example, and in other embodiments, the
於多段結構中,每一段之孔隙率(或可稱「平均孔隙率」)可藉由量測該段中所含的孔洞之總體積以及該段若為實體時之總體積(後方略稱為「該段之總體積」),以該段中孔洞之總體積/該段之總體積的方式獲得。舉例而言,可使用例如排水法得到每一段所佔有之實際體積,將該實際體積除以該段之總體積後可得到一比值,再以1減去該比值即為該段之平均孔隙率。此外,若已知各段所使用之材質密度,則亦可藉由量測該段之重量再除以材質密度,獲得該段所佔有之實際體積,再以前述方式獲得平均孔隙率。In a multi-segment structure, the porosity of each segment (or "average porosity") can be measured by measuring the total volume of the pores contained in the segment and the total volume of the segment if it is a solid (hereinafter referred to as "total volume of the segment"), obtained in the form of total volume of holes in the segment/total volume of the segment. For example, the actual volume occupied by each section can be obtained by using the drainage method, and a ratio can be obtained after dividing the actual volume by the total volume of the section, and then subtracting the ratio from 1 is the average porosity of the section . In addition, if the density of the material used in each segment is known, the actual volume occupied by the segment can be obtained by measuring the weight of the segment and dividing it by the material density, and then the average porosity can be obtained in the aforementioned manner.
在一些實施例中,再生器的多段結構,可以是藉由將多個具有不同之孔隙率、各自僅具有徑向上孔隙率梯度變化之再生器1(例如圖1所示之結構)經堆疊而形成。舉例而言,可參閱圖7。圖7可視為是根據圖6中之再生器所繪製之剖面上視示意圖。如圖7所示之結構,可藉由先以前述方式分別形成具有較高整體孔隙率的一段再生器、具有次高整體孔隙率的一段再生器、以及具有最低整體孔隙率的一段再生器。而後再將此三段依序排列結合,作為再生器之第一段A1、第二段A2、以及第三段A3,即可獲得如圖7所示之結構。In some embodiments, the multi-stage structure of the regenerator can be obtained by stacking a plurality of regenerators 1 (such as the structure shown in FIG. 1 ) with different porosities, each of which only has a radial porosity gradient form. For example, please refer to FIG. 7 . Fig. 7 can be regarded as a schematic cross-sectional top view drawn according to the regenerator in Fig. 6 . The structure shown in FIG. 7 can be formed by first forming a first-stage regenerator with a higher overall porosity, a first-stage regenerator with a second-highest overall porosity, and a first-stage regenerator with the lowest overall porosity in the aforementioned manner. Then, the three sections are arranged and combined in order to form the first section A1, the second section A2, and the third section A3 of the regenerator, and the structure shown in FIG. 7 can be obtained.
需說明的是,雖圖7中所繪示之結構,其第一段A1、第二段A2、以及第三段A3內皆具有相同厚度配置之三層結構(亦即,於第二段A2的外層厚度與第一段A1的外層厚度以及第三段A3的外層厚度相同、各段之中層厚度相同、以及各段之內層厚度相同),但實際上各段之間並不需具有相同結構,只要可符合「在由低溫流體出入口L1(或低溫端L)往高溫流體出入口H1(或高溫端H)的方向上,各段之孔隙率使再生器1於軸向上具有由低至高的梯度變化」即可。It should be noted that although the structure shown in FIG. 7, the first section A1, the second section A2, and the third section A3 all have a three-layer structure with the same thickness configuration (that is, in the second section A2 The thickness of the outer layer is the same as the thickness of the outer layer of the first section A1 and the thickness of the outer layer of the third section A3, the thickness of the middle layer of each section is the same, and the thickness of the inner layer of each section is the same), but in fact the sections do not need to have the same The structure, as long as it can comply with "in the direction from the low-temperature fluid inlet and outlet L1 (or low-temperature end L) to the high-temperature fluid inlet and outlet H1 (or high-temperature end H), the porosity of each section makes the
在各段具有相同結構的情況下,則多段結構中相鄰的二段,可使其中一段最內層之孔隙率與另一段較外層之孔隙率相同,如此便可以最少之材料以及加工步驟,來完成同時具有徑向以及軸向梯度變化之再生器。具體而言,以圖7中之第一段A1的內層101A1與中層102A1、以及第二段A2的內層101A2與中層102A2為例,第一段A1的內層101A1具有最高之孔隙率(最疏鬆),第一段A1的中層102A1具有第二高的孔隙率。而為了使第二段A2其整段的孔隙率低於第一段A1整體之孔隙率,並且帶有徑向上的孔隙率梯度變化,則可使第二段A2的內層101A2具有與第一段A1的中層102A1相同之孔隙率,再讓第二段A2的中層102A2具有第三高孔隙率。由於有兩區域可使用到具有相同孔隙率之材料,故可以較少之材料以及加工步驟,完成同時具有徑向以及軸向梯度變化之再生器。In the case that each section has the same structure, the two adjacent sections in the multi-section structure can make the porosity of the innermost layer of one section the same as the porosity of the outer layer of the other section, so that the minimum materials and processing steps can be used. To complete the regenerator with both radial and axial gradient changes. Specifically, taking the inner layer 101A1 and the middle layer 102A1 of the first section A1 in FIG. 7 and the inner layer 101A2 and the middle layer 102A2 of the second section A2 as examples, the inner layer 101A1 of the first section A1 has the highest porosity ( The most porous), the middle layer 102A1 of the first section A1 has the second highest porosity. And in order to make the porosity of the whole section of the second section A2 lower than the porosity of the first section A1 as a whole, and have a porosity gradient change in the radial direction, the inner layer 101A2 of the second section A2 can be made to have the same shape as the first section A1. The middle layer 102A1 of section A1 has the same porosity, and the middle layer 102A2 of the second section A2 has the third highest porosity. Since materials with the same porosity can be used in two regions, a regenerator with both radial and axial gradients can be completed with fewer materials and fewer processing steps.
在一些實施例中,若是在各段具有相同結構的情況下,再生器1的多段結構,亦可以是藉由先同時形成各段之最外層、再依序形成內部的各層的方式形成。舉例而言,如圖7所示的結構,可先於管體中置入一金屬棒,在金屬棒與管體之間的空隙內,分三批填入例如具有不同顆粒大小之可燒結粉末後進行快速燒結,以形成第一段A1、第二段A2、以及第三段A3之最外層。而後,再以類似之方式,形成第一段A1、第二段A2、以及第三段A3之中層與內層。最後,在對整體以一較高的溫度進行整體燒結,即可得到如圖7所示之再生器1的結構。In some embodiments, if each stage has the same structure, the multi-stage structure of the
在一些實施例中,再生器1之「在由低溫流體出入口L1(或低溫端L)往高溫流體出入口H1(或高溫端H)的方向上,軸向上之孔隙率具有由低至高的梯度變化」可具有多種實施態樣。例如,再生器在軸向上可具有多段結構,多段結構中之各段在軸向上具有相同厚度。其中,多段結構中相鄰的三段所對應之三個孔隙率之間,呈線性或非線性關係。In some embodiments, the
在一些實施例中,當多段結構中相鄰的三段所對應之三個孔隙率之間呈非線性關係時,相較於呈線性關係,可具有更佳之熱傳遞效率。舉例而言,當多段結構中相鄰的三段所對應之三個孔隙率之間,其低溫端L處之孔隙率變化率係大於高溫端H處之孔隙率變化率時,由於低溫端L處(相對緻密區,孔隙率較低)的孔隙率隨著越往再生器1的高溫端H處接近,其數值將快速增加,使再生器1中之緻密區的佔有比例較低,即再生器1中大部分皆為相對疏鬆的區域。是以,流體在此類再生器1中可具有較高之流速,再生器1與流體之間的熱傳效率可進一步提升。In some embodiments, when the three porosities corresponding to three adjacent segments in the multi-segment structure have a nonlinear relationship, compared with a linear relationship, the heat transfer efficiency may be better. For example, when the porosity change rate at the low temperature end L is greater than the porosity change rate at the high temperature end H among the three porosities corresponding to three adjacent segments in the multi-stage structure, since the low temperature end L The porosity at the position (relatively dense area with low porosity) will increase rapidly as it approaches the high temperature end H of
綜上所述,藉由使再生器在其徑向上之孔隙率具有自管壁向中心呈由低至高(亦即緻密至疏鬆)的梯度變化,即可讓流體在流經再生器時集中於其中央部分而非靠近管壁之區域,進而減少流體之熱散失。此外,因流體與管壁間的摩擦亦可減少,流體整體的平均流速增加,故再生器與流體之間的熱傳效率可進一步提升。是以,結合前述二點,藉由使再生器在其徑向上之孔隙率具有自管壁向中心呈由低至高(亦即緻密至疏鬆)的梯度變化,即可得到具有較高熱傳效率之再生器。In summary, by making the porosity of the regenerator radially change from low to high (that is, dense to loose) from the pipe wall to the center, the fluid can be concentrated in the regenerator when it flows through the regenerator. Its central part rather than the area close to the tube wall, thereby reducing the heat loss of the fluid. In addition, since the friction between the fluid and the pipe wall can also be reduced, the overall average flow velocity of the fluid can be increased, so the heat transfer efficiency between the regenerator and the fluid can be further improved. Therefore, combining the above two points, by making the porosity of the regenerator in its radial direction have a gradient change from low to high (that is, dense to loose) from the tube wall to the center, a high heat transfer efficiency can be obtained. Regenerator.
此外,除了徑向上之孔隙率具有梯度變化外,若於再生器之軸向上亦設置有梯度變化,則可在保留傳熱量的前提下,提升再生器內流體之流速,進而更進一步地提升再生器的整體效率。In addition, in addition to the gradient change in porosity in the radial direction, if there is also a gradient change in the axial direction of the regenerator, the flow rate of the fluid in the regenerator can be increased under the premise of retaining heat transfer, thereby further improving regeneration. overall efficiency of the device.
1:再生器
101:第一層
102:第二層
103:第三層
104:第四層
51、52:線段
2:空腔
A:延伸軸
A1:第一段
101A1:內層
102A1:中層
A2:第二段
101A2:內層
102A2:中層
A3:第三段
H:高溫端
H1:高溫流體出入口
L:低溫端
L1:低溫流體出入口
R、R’:方向
1: Regenerator
101: first floor
102: second floor
103: third floor
104:
圖1係根據本案一實施例所繪製之再生器立體示意圖。 圖2A係圖1所示之再生器的前視示意圖。 圖2B係根據本案一實施例所繪製之再生器前視示意圖。 圖2C係根據本案另一實施例所繪製之再生器前視示意圖。 圖3係根據本案另一實施例所繪製之再生器前視示意圖。 圖4係根據本案一實施例之再生器所繪製的孔隙率變化說明圖。 圖5係根據本案另一實施例之再生器所繪製的孔隙率變化說明圖。 圖6係根據本案一些實施例所繪製之再生器立體示意圖。 圖7係根據圖6中之再生器所繪製之剖面上視示意圖。 Fig. 1 is a three-dimensional schematic diagram of a regenerator drawn according to an embodiment of the present invention. FIG. 2A is a schematic front view of the regenerator shown in FIG. 1 . Fig. 2B is a schematic front view of a regenerator drawn according to an embodiment of the present invention. Fig. 2C is a schematic front view of a regenerator drawn according to another embodiment of the present application. Fig. 3 is a schematic front view of a regenerator drawn according to another embodiment of the present application. Fig. 4 is an explanatory diagram of porosity change drawn by the regenerator according to an embodiment of the present invention. Fig. 5 is an explanatory diagram of porosity change drawn by a regenerator according to another embodiment of the present application. Fig. 6 is a perspective view of a regenerator drawn according to some embodiments of the present application. Fig. 7 is a schematic cross-sectional top view drawn according to the regenerator in Fig. 6 .
1:再生器 A:延伸軸 H:高溫端 H1:高溫流體出入口 L:低溫端 L1:低溫流體出入口 1: Regenerator A: Extension shaft H: high temperature end H1: High temperature fluid inlet and outlet L: low temperature end L1: Cryogenic fluid inlet and outlet
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JP2006317084A (en) * | 2005-05-13 | 2006-11-24 | Sharp Corp | Regenerator for stirling engine, and stirling engine |
TWI591253B (en) * | 2015-02-13 | 2017-07-11 | 國立成功大學 | Regenerator fabrication method |
TWI670166B (en) * | 2018-09-26 | 2019-09-01 | 國立成功大學 | Additive manufacturing method of porous material with porosity gradient |
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JP2006317084A (en) * | 2005-05-13 | 2006-11-24 | Sharp Corp | Regenerator for stirling engine, and stirling engine |
TWI591253B (en) * | 2015-02-13 | 2017-07-11 | 國立成功大學 | Regenerator fabrication method |
TWI670166B (en) * | 2018-09-26 | 2019-09-01 | 國立成功大學 | Additive manufacturing method of porous material with porosity gradient |
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