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

作     者：SHANKAR B.M. KUMAR Jai SHIVAKUMARA I.S. 吴朝安 SHANKAR B. M.;SHIVAKUMARA I. S.;NG Chiu-On

作者机构：Department of MathematicsPES Institute of TechnologyBangalore 560 085India ISRO Satellite CentreBangalore 560 017India Department of MathematicsBangalore UniversityBangalore 560 001India Department of Mechanical EngineeringThe University of Hong Kong 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2014年第26卷第5期

页      面：681-688页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the Research Grants Council of the Hong Kong Special Administrative Region China(Grant No.HKU 715510E) 

主　　题：Brinkman model Chebyshev collocation method hydrodynamic stability modified Orr-Sommerfeld equation 

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, the critical wave number ac and the critical wave speed cc 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.