The linear stability of Maxwell fluid-saturated anisotropic porous layer heated from below and cooled from above is investigated analytically when the fluid and solid phases are not in local thermal equilibrium. For the porous medium, the Brinkman model is employed. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. The linear stability theory is used to calculate the Rayleigh number and corresponding wave number for the onset of convection under the assumption that the solid and fluid phases have identical temperatures at the bounding surfaces. The effect of anisotropic permeability on the onset of convection is shown graphically.

convection, anisotropy, Maxwell fluid, thermal non-equilibrium.

Received: November 26, 2023; Revised: December 21, 2023; Accepted: December 27, 2023; Published: January 30, 2024

How to cite this article: N. K. Enagi, Krishna B. Chavaraddi and Sridhar Kulkarni, The effect of anisotropy on Darcy-Brinkman convection in a Maxwell fluid-saturated porous layer, Advances and Applications in Fluid Mechanics 31(1) (2024), 1-22. http://dx.doi.org/10.17654/0973468624001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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