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LINEAR AND NONLINEAR STABILITY ANALYSIS OF A FLUID-SATURATED DARCY-BRINKMAN POROUS MEDIA VIA INTERNAL HEAT SOURCE/SINK WITH THE EFFECT OF BOUNDARY HEATING/COOLING

卷 22, 册 5, 2019, pp. 545-562
DOI: 10.1615/JPorMedia.2019028958
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摘要

The effects of the Darcy-Brinkman number, internal heat source/sink, and heat input/extract through the lower boundary at the onset of convection in a Darcy-Brinkman porous medium was analyzed using linear and nonlinear analysis. The normal mode technique is used for linear analysis and the energy method is used for nonlinear stability analysis. The presence of heat generation/extraction within the layer and through the boundary may lead to the possibility of the existence of a subcritical instability. The effects of the Darcy-Brinkman number and internal heat parameter on critical Rayleigh numbers were analyzed graphically and numerically using the Chebyshev pseudospectral method.

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对本文的引用
  1. Noor Arshika S., Tarannum Sameena, Pranesh Subbarama, Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations, Heat Transfer, 51, 1, 2022. Crossref

  2. Arshika S. Noor, Tarannum Sameena, Trigonometric Cosine, Square, Sawtooth and Triangular Waveforms of Internal Heating Modulations for Three-Component Convection in a Couple Stress Liquid: A Detailed Analysis, International Journal of Applied and Computational Mathematics, 8, 4, 2022. Crossref

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