Linear and Non-linear Double Diffusive Convection in a Fluid-Saturated Anisotropic Porous Layer with Cross-Diffusion Effects |
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Authors: | S N Gaikwad M S Malashetty K Rama Prasad |
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Institution: | 1.Department of Mathematics,Gulbarga University,Jnana Ganga, Gulbarga,India |
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Abstract: | The double diffusive convection in a horizontal anisotropic porous layer saturated with a Boussinesq binary fluid, which is
heated and salted from below in the presence of Soret and DuFour effects is studied analytically using both linear and non-linear
stability analyses. The linear analysis is based on the usual normal mode technique, while the non-linear analysis is based
on a minimal representation of double Fourier series. The generalized Darcy model including the time derivative term is employed
for the momentum equation. The critical Rayleigh number, wavenumbers for stationary and oscillatory modes, and frequency of
oscillations are obtained analytically using linear theory. The effects of anisotropy parameter, solute Rayleigh number, and
Soret and DuFour parameters on the stationary, oscillatory convection, and heat and mass transfer are shown graphically. Some
known results are recovered as special cases of the present problem. |
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Keywords: | |
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