Hydromagnetic stability of plane Poiseuille and Couette flow of viscoelastic fluid

被引：25

作者：

Eldabe, Nabil T. M.

El-Sabbagh, M. F.

Hajjaj, M. A. S. El-Sayed ^{[1
]}

机构：

[1] Menia Univ, Fac Sci, Dept Math, Minia, Egypt

[2] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt

来源：

FLUID DYNAMICS RESEARCH | 2006年 / 38卷 / 10期

关键词：

viscoelastic fluid; hydromagnetic stability; Poiseuille flow; Couette flow; Chebyshev collocation method;

D O I：

10.1016/j.fluiddyn.2006.05.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The effect of transverse magnetic field on the stability of plane Poiseuille and Couette flow between two parallel flat plates is investigated for Oldroyd-B fluid. The classical Orr-Sommerfeld analysis is extended to electrically conducting fluid for Oldroyd-B model, assuming that the magnetic Prandtl number is sufficiently small. The Chebyshev collocation method with the QZ-algorithm is used for solving the stability equations to find the eigenvalues. The critical values of Reynolds number, wave number, and wave speed are computed. It is found that the magnetic field has a stabilizing effect on Poiseuille flow, while it has both destabilizing and stabilizing effects on the Couette flow. (c) 2006 The Japan Society of Fluid Mechanics and Elsevier B.V. All rights reserved.

引用

页码：699 / 715

页数：17

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