Onset of Darcy-Brinkman Convection in a Maxwell Fluid Saturated Anisotropic Porous Layer

Onset of Darcy-Brinkman Convection in a Maxwell Fluid Saturated Anisotropic Porous Layer

In the present study, the onset of Darcy-Brinkman double diffusive convection in a Maxwell fluid-saturated anisotropic porous layer is studied analytically using stability analysis. The linear stability analysis is based on normal technique. The modified Darcy-Brinkmam Maxwell model is used for the...

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Bibliographic Details
Published in:Journal of Applied Fluid Mechanics Vol. 9; no. 4; pp. 1709 - 1720
Main Authors: Gaikwad, S N, Javaji, V
Format: Journal Article
Language:English
Published: Isfahan Isfahan University of Technology 01-01-2016
Subjects:
Amplitudes
Anisotropy
Anisotropy; Heat and mass transfer
Convection
Darcy number
Double diffusive convection; Darcy brinkman Maxwell model; Porous layer
Fourier series
Heat transfer
Mass transfer
Mathematical analysis
Mathematical models
Maxwell fluids
Momentum equation
Parameters
Porosity
Prandtl number
Rayleigh number
Runge-Kutta method
Stability analysis
Stress relaxation
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Summary:In the present study, the onset of Darcy-Brinkman double diffusive convection in a Maxwell fluid-saturated anisotropic porous layer is studied analytically using stability analysis. The linear stability analysis is based on normal technique. The modified Darcy-Brinkmam Maxwell model is used for the momentum equation. The Rayleigh number for stationary, oscillatory and finite amplitude convection is obtained analytically. The effect of the stress relaxation parameter, solute Rayleigh number, Darcy number, Darcy-Prandtl number, Lewis number, mechanical and thermal anisotropy parameters, and normal porosity parameter on the stationary, oscillatory and finite amplitude convection is shown graphically. The nonlinear theory is based on the truncated representation of the Fourier series method and is used to find the heat and mass transfer. The transient behavior of the Nusselt and Sherwood numbers is obtained by solving the finite amplitude equations using the Runge-Kutta method.
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ISSN:1735-3572
1735-3645
DOI:10.18869/acadpub.jafm.68.235.24634