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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.259 SNIP: 0.466 CiteScore™: 0.83

ISSN Druckformat: 2151-4798
ISSN Online: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v4.i4.70
pages 359-374

ONSET OF DOUBLE DIFFUSIVE CONVECTION IN A MAXWELL FLUID SATURATED ANISOTROPIC POROUS LAYER WITH INTERNAL HEAT SOURCE

S . N. Gaikwad
Department of Mathematics, Gulbarga University, Jnana Ganga, Gulbarga-585106, India
M. Dhanraj
Department of Mathematics, Gulbarga University, Jnana Ganga Campus, Gulbarga - 585 106, Karnataka, India

ABSTRAKT

The onset of double diffusive convection in a Maxwell fluid saturated anisotropic porous layer with internal heat source is studied using both linear and weak nonlinear stability analyses. The linear theory is being related to the normal mode method. The modified Darcy−Maxwell model is used for the momentum equation. The effects of various parameters on the stationary, oscillatory, and finite amplitude convection is shown graphically. It is found that the effects of the internal Rayleigh number, mechanical anisotropy parameter, and relaxation parameter have a destabilizing effect, while the thermal anisotropy parameter has a stabilizing effect on the stationary, oscillatory, and finite amplitude convection. A weak nonlinear stability analysis is based on truncated representation of Fourier series method and is employed to find the Nusselt number and Sherwood number. Further, the transient behavior of the Nusselt and Sherwood numbers is obtained by solving the finite amplitude equations using a numerical method.


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