Study of shear-thinning/thickening effects on plane Couette-Poiseuille flow with uniform crossflow  

作　　者：刘玉泉 朱克勤 

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

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第5期549-566,共18页应用数学和力学（英文版）

摘　　要：The shear-thinning/thickening effects on the plane Couette-Poiseuille flow with a uniform crossflow are studied. The detailed solution procedures for both theo- retical and numerical purposes are given. In order to clarify the difference between the Newtonian flow and the power-law flow, all cases of the plane Couette-Poiseuille flows with uniform crossflows for different power indexes are assigned to the phase diagram in the parameter plane corresponding to the Couette number and the crossflow Reynolds number. The effects of shear-thinning/thickening on the phase diagram are discussed. An important feature of the shear-thinning circumstance distinguished from the shear- thickening circumstance is discovered.The shear-thinning/thickening effects on the plane Couette-Poiseuille flow with a uniform crossflow are studied. The detailed solution procedures for both theo- retical and numerical purposes are given. In order to clarify the difference between the Newtonian flow and the power-law flow, all cases of the plane Couette-Poiseuille flows with uniform crossflows for different power indexes are assigned to the phase diagram in the parameter plane corresponding to the Couette number and the crossflow Reynolds number. The effects of shear-thinning/thickening on the phase diagram are discussed. An important feature of the shear-thinning circumstance distinguished from the shear- thickening circumstance is discovered.

关 键 词：Couette-Poiseuille flow CROSSFLOW power-law fluid phase diagram 

分 类 号：O357.1[理学—流体力学]