Effect of maximum density and internal heating on the stability of rotating fluid saturated porous layer using LTNE model

Abstract

The impact of heat generated inside the porous layer containing a fluid and density maximum when the porous structure is studied analytically subjected to rotation for the case of unlike temperatures of both solid and fluid phases. Two equations each representing solid and fluid phases are used as energy equations. The linear stability theory is used and is based on normal mode technique. Galerkin method is used to find the Eigen values of the problem. The rotation of the porous layer provides extra strength to the system, protecting the structure from instability, however internal heat generation does not support the system in retaining its strength, causing the system to destabilize. Both the conductivity ratio and the density function have a negative impact on system stability. Consequently, the rotation parameter Ta stabilizes the system, whereas internal heat generation, conductivity ratio, and density function destabilizes the onset of convection.

Keywords

• Convection
• Density maximum
• Internal heat generation
• Thermal non-equilibrium