The convective instability of Maxwell fluid-saturated porous layer using a thermal non-equilibrium model

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• 作者：M.S. Malashetty ; Sridhar Kulkarni
• 关键词：Maxwell fluid ; Overstability ; Thermal non-equilibrium ; Porous media
• 刊名：Journal of Non-Newtonian Fluid Mechanics
• 出版年：2009
• 出版时间：October 2009
• 年：2009
• 卷：162
• 期：1-3
• 页码：29-37
• 全文大小：830 K

文摘

A linear stability analysis is carried out to study viscoelastic fluid convection in a horizontal porous layer heated from below and cooled from above when the solid and fluid phases are not in a local thermal equilibrium. The modified Darcy–Brinkman–Maxwell model is used for the momentum equation and two-field model is used for the energy equation each representing the solid and fluid phases separately. The conditions for the onset of stationary and oscillatory convection are obtained analytically. Linear stability analysis suggests that, there is a competition between the processes of viscoelasticity and thermal diffusion that causes the first convective instability to be oscillatory rather than stationary. Elasticity is found to destabilize the system. Besides, the effects of Darcy number, thermal non-equilibrium and the Darcy–Prandtl number on the stability of the system are analyzed in detail.