Browsing by Author "Nagarathnamma, H"
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Item Penetrative convection via internal heating in superposed fluid and anisotropic porous layers with throughflow(2014-04-04T07:49:39Z) Gangadharaiah, Y. H; Suma, S.P; Nagarathnamma, HThe onset of thermal convection due to heating from below in a system consisting of a fluid layer overlying a porous layer with anisotropic permeability and thermal diffusivity is studied. The onset of penetrative convection simulated via internal heating in the presence of a vertical throughflow. Flow in the porous medium is governed by Forchheimer-extended Darcy equation and the Beavers–Joseph slip condition is applied at the interface between the fluid and the porous layers. The boundaries are considered to be rigid, however permeable, and insulated to temperature perturbations. The eigen value problem is solved using a regular perturbation technique with wave number as a perturbation parameter. It is found that the depth of the relative layers, the direction of throughflow, the presence of volumetric internal heat source in fluid and/or porous layer and mechanical and thermal anisotropy parameters have a profound effect on the stability of the system. Decreasing the mechanical anisotropy parameter and increasing the thermal anisotropy parameter leads to stabilization of the system. Besides, the possibility of control of thermal convection by suitable choice of physical parameters is discussed in detail.