Effects of shear-thinning/thickening nature on the stability of Couette-like flow with uniform crossflow  

作　　者：Yu-Quan Liu Jie Peng Ke-Qin Zhu 

机构地区：[1]Department of Engineering Mechanics,Tsinghua University

出　　处：《Acta Mechanica Sinica》2013年第6期806-810,共5页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(11172152)

摘　　要：The linear stability of wall-injected pressure- driven Couette-like flow in power-law fluids is studied. Previous study on this kind of flow for Newtonian fluids by Nicoud and Angilella [Phys. Rev. E 56, 3000 （1997）] was extended to power-law fluids to understand the effects of shear-thinning/thickening nature on the flow stability. A related expression between the critical crossflow Reynolds number for Newtonian fluids and that for power-law fluids is obtained as the streamwise Reynolds number is large enough based on numerical computations, and verified theoretically in the case of a limiting condition with the power-law index.The linear stability of wall-injected pressure- driven Couette-like flow in power-law fluids is studied. Previous study on this kind of flow for Newtonian fluids by Nicoud and Angilella [Phys. Rev. E 56, 3000 （1997）] was extended to power-law fluids to understand the effects of shear-thinning/thickening nature on the flow stability. A related expression between the critical crossflow Reynolds number for Newtonian fluids and that for power-law fluids is obtained as the streamwise Reynolds number is large enough based on numerical computations, and verified theoretically in the case of a limiting condition with the power-law index.

关 键 词：Power-law fluid Couette-like flow - Crossflow Linear stability 

分 类 号：O35[理学—流体力学] TL334[理学—力学]