论文标题
在不同半径的毛细管中可压缩和不可压缩流体的稳态两相流动
Steady-state two-phase flow of compressible and incompressible fluids in a capillary tube of varying radius
论文作者
论文摘要
我们研究了在稳态条件下的毛细管内的不可压缩液和不可压缩的流体的不混溶两相流。不可压缩的液体是牛顿，可压缩的液体是一种无关的理想气体。与两种流体之间的界面相关的表面张力引入了由于管半径的变化而沿着管变化的毛细管。由于毛细作用力和可压缩性引起的效应之间的相互作用导致一组与不可压缩的两相流不同的特性。随着流体向出口移动，由于压力降低，可压缩流体的气泡会增加体积。可压缩气泡的容量生长使出口处的体积流速高于入口。生长不仅是整个试管上压力下降的函数，而且是环境压力的函数。此外，毛细作用力在没有流动的情况下创建了有效阈值。在阈值之上，系统在流速和有效压降之间显示出弱的非线性，而非线性也取决于整个管子上的绝对压力。
We study immiscible two-phase flow of a compressible and an incompressible fluid inside a capillary tube of varying radius under steady-state conditions. The incompressible fluid is Newtonian and the compressible fluid is an inviscid ideal gas. The surface tension associated with the interfaces between the two fluids introduces capillary forces that vary along the tube due to the variation in the tube radius. The interplay between effects due to the capillary forces and the compressibility results in a set of properties that are different from incompressible two-phase flow. As the fluids move towards the outlet, the bubbles of the compressible fluid grow in volume due to the decrease in pressure. The volumetric growth of the compressible bubbles makes the volumetric flow rate at the outlet higher than at the inlet. The growth is not only a function of the pressure drop across the tube, but also of the ambient pressure. Furthermore, the capillary forces create an effective threshold below which there is no flow. Above the threshold, the system shows a weak non-linearity between the flow rates and the effective pressure drop, where the non-linearity also depends on the absolute pressures across the tube.
