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The present article examines the stability of nonisothermal Poiseuille flow in a highly permeable porous domain underlying a fluid domain. A two domain approach with the Newtonian fluid’s flow being governed by Navier-Stokes equations in the fluid domain and Darcy- Brinkman model in the porous domain is adopted. The impact of depth ratio (ratio of fluid domain’s depth to porous domain’s depth), Darcy number, Reynolds number and Prandtl number are analyzed with the aid of linear stability analysis. The neutral stability curves characterize unimodal (either porous or fluid) or bimodal (both porous and fluid) behavior depending on the parametric variation. A decrease in depth ratio and increase in Darcy number, Reynolds number and Prandtl number instigates the instability in porous domain. A qualitative comparison with the existing results on Darcy’s law is also presented.

Stability of Nonisothermal Poiseuille Flow in a Fluid Overlying a Highly Porous Domain