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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Texas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USA
MS Ramaiah Univ Appl Sci, Dept Math & Stat, Bangalore, IndiaTexas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USA
Siddabasappa, C.
Siddheshwar, P. G.
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CHRIST Univ, Ctr Math Needs, Dept Math, Bangalore 560029, IndiaTexas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USA
Siddheshwar, P. G.
Mallikarjunaiah, S. M.
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Texas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USATexas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USA
机构:
Texas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USA
MS Ramaiah Univ Appl Sci, Dept Math & Stat, Bangalore, IndiaTexas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USA
Siddabasappa, C.
Siddheshwar, P. G.
论文数: 0引用数: 0
h-index: 0
机构:
CHRIST Univ, Ctr Math Needs, Dept Math, Bangalore 560029, IndiaTexas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USA
Siddheshwar, P. G.
Mallikarjunaiah, S. M.
论文数: 0引用数: 0
h-index: 0
机构:
Texas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USATexas A&M Univ Corpus Christi, Dept Math & Stat, 6300 Ocean Dr, Corpus Christi, TX 78412 USA