Effect of thermal non-equilibrium and internal heat source on Brinkman-Benard convection

被引:10
|
作者
Siddabasappa, C. [1 ]
Sakshath, T. N. [1 ]
机构
[1] MS Ramaiah Univ Appl Sci, Dept Math & Stat, Bangalore, Karnataka, India
关键词
Local thermal non-equilibrium; Internal heat source; Stability; Porous medium; Free-free; Isothermal; Brinkman-Benard convection; POROUS LAYER; NATURAL-CONVECTION; NONLINEAR STABILITY; HORIZONTAL LAYERS; ONSET; GENERATION; FLUID; MODEL;
D O I
10.1016/j.physa.2020.125617
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the paper, we make a linear stability analysis in a Newtonian, liquid-saturated high porous medium in the presence of a heat source under the assumption of local thermal non-equilibrium(LTNE). The heat source is represented by an internal Rayleigh number R-I and is considered in two ways (i) internal heat source in a liquid phase (R-Il) and (ii) internal heat source in a solid phase (R-Is). The internal heat generation parameter's effect is to destabilize the onset of stationary convection due to an increase in the system's energy. The results of local thermal equilibrium are obtained as a limiting case of the problem. The effect of various parameters on the onset of convection is analyzed and depicted graphically. (C) 2020 Elsevier B.V. All rights reserved.
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页数:19
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