采用有限元模型对两种制冷剂和三个弹性模量的柔性短管中的制冷剂流量进行了估算。短管长度为14.5毫米（0.57英寸）长度为，入口直径为2.06毫米（0.081英寸）出口直径为2.46毫米（0.097英寸）。该研究包括两种制冷剂:R-134a和R-410a，以及具有三个弹性模量的短管:5513、7084和9889 kPa（800、1025和1434 psi）。使用商用软件包开发了有限元模型。该模型通过耦合短管中的流体/短管-结构相互作用来捕捉变形。上游压力设定为对应于每种制冷剂的典型冷凝温度。 上游过冷保持在16.7°C（30°F）的恒定值。该模型估计了上游压力变化导致的管道变形和制冷剂流量。内部短管形状类似于会聚-发散喷嘴的形状。在短管的进口和出口处都可以看到类似倒角的形状。这种形状减少了刚性短管中管入口下游收缩静脉处的大压降。然而，柔性短管在大约4毫米（0.157英寸）处显示第二个压降从管子的入口。第二个压降是管变形的结果，随着弹性模量的降低而增加。 对于46°C（129°F）的冷凝温度，R-410a的上游工作压力比R-134a高140%。与R-134a相比，R-410a具有更大的管变形。单位:双引文:ASHRAE交易，第114卷，pt。2、盐湖城2008

A finite element model was used to estimate the refrigerant flow through flexible short-tubes for two refrigerants and three moduli of elasticity. The short-tubes were 14.5 mm (0.57 in.) in length with an inlet diameter of 2.06 mm (0.081 in.) and an outlet diameter of 2.46 mm (0.097 in.). The study included two refrigerants: R-134a and R-410a, and short-tubes with three moduli of elasticity: 5513, 7084, and 9889 kPa (800, 1025, and 1434 psi). A finite element model was developed using a commercially available software package. The model captured deformation by coupling the fluid/short-tube structural interaction in the shorttube. Upstream pressures were set to correspond to typical condensing temperatures for each refrigerant. The upstream subcooling was held at a constant value of 16.7°C (30°F).The model estimated tube deformation and refrigerant flow as a result of upstream pressure changes. The internal short-tube shape resembled the shape of a converging-diverging nozzle. A chamfered-like shape was seen at both the inlet and outlet of the short-tube. This shape reduced the large pressure drop at the vena contracta downstream of the tube inlet found in rigid short-tubes. However, flexible short-tubes showed a second pressure drop at approximately 4 mm (0.157 in.) from the inlet of the tubes. This second pressure drop was a consequence of the tube deformation and increased as the modulus of elasticity decreased. For a condensing temperature of 46°C (129°F), the operating upstream pressure of R-410a was 140% higher than that of R-134a. R-410a had a larger tubedeformation than that of R-134a.Units: Dual