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

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  • Siddabasappa, C.
  • Sakshath, T.N.

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.

Suggested Citation

  • Siddabasappa, C. & Sakshath, T.N., 2021. "Effect of thermal non-equilibrium and internal heat source on Brinkman–Bénard convection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    • Handle: RePEc:eee:phsmap:v:566:y:2021:i:c:s0378437120309158
    DOI: 10.1016/j.physa.2020.125617
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    References listed on IDEAS

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    1. Kefayati, G.H.R., 2016. "Simulation of double diffusive MHD (magnetohydrodynamic) natural convection and entropy generation in an open cavity filled with power-law fluids in the presence of Soret and Dufour effects (part II: ," Energy, Elsevier, vol. 107(C), pages 917-959.
    2. Kefayati, GH.R., 2019. "Lattice Boltzmann method for natural convection of a Bingham fluid in a porous cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 146-172.
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