Stability of fluid flow in a Brinkman porous medium-A numerical study

被引：19

作者：

Shankar, B. M. ^{[1
]}

Kumar, Jai ^{[2
]}

Shivakumara, I. S. ^{[3
]}

Ng Chiu-On ^{[4
]}

机构：

[1] PBS Inst Technol, Dept Math, Bangalore 560085, Karnataka, India

[2] ISRO, Satellite Ctr, Bangalore 560017, Karnataka, India

[3] Bangalore Univ, Dept Math, Bangalore 560001, Karnataka, India

[4] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF HYDRODYNAMICS | 2014年 / 26卷 / 05期

关键词：

Brinkman model; Chebyshev collocation method; hydrodynamic stability; modified Orr-Sommerfeld equation; TEMPORAL STABILITY; CHANNEL; VISCOSITY;

D O I：

10.1016/S1001-6058(14)60076-7

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of fluid flow in a horizontal layer of Brinkman porous medium with fluid viscosity different from effective viscosity is investigated. A modified Orr-Sommerfeld equation is derived and solved numerically using the Chebyshev collocation method. The critical Reynolds number Re-c, the critical wave number alpha(c) and the critical wave speed c(c) are computed for various values of porous parameter and ratio of viscosities. Based on these parameters, the stability characteristics of the system are discussed in detail. Streamlines are presented for selected values of parameters at their critical state.

引用

页码：681 / 688

页数：8

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