The effects of cross-diffusion and stratification in unsteady currents on vertical plate with power law variation

The effects of cross-diffusion and stratification in unsteady currents on vertical plate with power law variation
Author(s):
Dr Madhava Reddy Ch
Keywords:
Brinkman porous medium, Crank-Nicolson method, Double stratification, Dufour and Soret effects, Unsteady, Variable temperature and concentration.
Abstract
In this paper, the influence of viscous dissipation effects, Dufour and Soret effects, stratification effects along with power law variation of both temperature and concentration effects on unsteady natural convective flow of an electrically conducting fluid in a Brinkman porous medium has been analyzed along with vertical plate. By using the non-dimensional transformations in to the governing differential equations, the system expressed into a set of non-linear coupled differential equations along with the boundary conditions. The unconditionally stable implicit finite difference scheme of Crank-Nicolson type has been used to solve the reduced unsteady nonlinear boundary value problem. The Numerical results for velocity, temperature and concentration profiles are analyzed in detail and depicted graphically for various physical parameter values after comparison with available results in literature with good agreement.
Article Details
Unique Paper ID: 144234 Publication Volume & Issue: Volume 3, Issue 8 Page(s): 220 - 227
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