Abstract
The impact of Cattaneo heat flux law of heat conduction on the onset of thermal convection in an anisotropic (both mechanical and thermal) porous medium under a local thermal nonequilibrium (LTNE) condition is investigated. In the fluid phase, Fourier law of heat transfer is invoked. The results are analyzed for oxides of aluminium and copper solid skeletons. Contrary to the standard LTNE Darcy porous convection in an anisotropic porous layer, instability is triggered as an oscillatory convection under certain governing parametric values. The thermal and mechanical anisotropies of the porous medium display stabilizing and destabilizing influence on the onset of convection, respectively. There occurs a threshold value of scaled-interphase heat transfer coefficient at which the instability shifts from stationary to oscillatory convection. The threshold value decreases with an increase in solid thermal relaxation time and mechanical anisotropy parameters, while it rises with an upsurge in thermal anisotropy parameters. The effect of mechanical as well as thermal (fluid phase) anisotropy and solid thermal relaxation time parameters is to increase the convection cell size but a mixed performance is seen with solid thermal anisotropy parameter.
Published Version
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