工艺与制造英文2022被引 16
非等温Poiseuille流在各向异性非均质多孔域上覆流体中的稳定性
Stability of non-isothermal Poiseuille flow in a fluid overlying an anisotropic and inhomogeneous porous domain
P. Bera Anjali, Arshan Khan, P. Bera · Indian Institute of Technology Roorkee
摘要整理
采用双域方法研究了覆盖各向异性非均质多孔域的流体域中Poiseuille流的热对流稳定性。在多孔域中牛顿流体的流动由Darcy定律控制，界面处采用Beavers-Joseph边界条件。通过线性稳定性分析研究了介质各向异性和非均质性的影响，同时考虑了深度比（流体域深度与多孔域深度之比）、Darcy数、Reynolds数和Prandtl数等关键参数对流体-多孔系统稳定性的影响。中性曲线呈现双峰和单峰特性，各向异性和非均质性对参数变化产生显著影响。各向异性增加或非均质参数减小导致模态从单峰（多孔）转变为双峰（多孔和流体）。研究表明，无论各向异性和非均质参数如何变化，当深度比<0.05时最不稳定模态为多孔型，当深度比>0.16时为流体型。通过能量预算分析确定了不稳定性类型并验证了模态特征。在低Reynolds数和水平-竖直渗透率比极低的条件下，不稳定性主要为热浮力型，但在特定条件下出现热-剪切不稳定性。通过流函数和温度等值线分析了二次流动模式，验证了最不稳定模态和流体-多孔系统中的不稳定性类型。数值结果与Chen & Chen（J. Fluid Mech.，第207卷，1989年，第311-321页）在各向同性均质多孔域自然对流极限情况下的实验结果相符。
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