Stability analysis of a couple-stress fluid saturating a porous medium with temperature and pressure dependent viscosity using a thermal non-equilibrium model

被引:7
作者
Sunil [1 ]
Choudhary, Shalu [2 ]
Mahajan, Amit [3 ]
机构
[1] Natl Inst Technol, Dept Math, Hamirpur, HP, India
[2] Uttaranchal Univ, Dept Math, Dehra Dun, UK, India
[3] Natl Inst Technol, Dept Math, Delhi, India
关键词
Couple stress parameter; Temperature and pressure dependent viscosity; Interface heat transfer coefficient; Darcy-Brinkman number; Porosity modified conductivity ratio; RAYLEIGH-BENARD CONVECTION; BOUNDARY-LAYER-FLOW; NONLINEAR STABILITY; APPROXIMATION; EQUATIONS; ONSET;
D O I
10.1016/j.amc.2018.08.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A nonlinear stability threshold for convection in a couple stress fluid saturating a porous medium with temperature and pressure dependent viscosity using a thermal non-equilibrium model is found to be exactly the same as the linear instability boundary. This optimal result is important because it shows that linear theory has completely captured the physics of the onset of convection. The effects of couple stress fluid parameter (F), temperature and pressure dependent viscosity (Gamma), interface heat transfer coefficient (H), Darcy-Brinkman number (Da) and porosity modified conductivity ratio (gamma) on the onset of convection have been investigated. Asymptotic analysis for both small and large values of interface heat transfer coefficient (H) is also presented. An excellent agreement is found between the exact solutions and asymptotic solutions. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:15 / 30
页数:16
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