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

C. Siddabasappa and T.N. Sakshath

Physica A: Statistical Mechanics and its Applications, 2021, vol. 566, issue C

Abstract: 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 RI and is considered in two ways (i) internal heat source in a liquid phase (RIl) and (ii) internal heat source in a solid phase (RIs). 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.

Keywords: Local thermal non-equilibrium; Internal heat source; Stability; Porous medium; Free-free; Isothermal; Brinkman–Bénard convection (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:566:y:2021:i:c:s0378437120309158

DOI: 10.1016/j.physa.2020.125617

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