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MATHEMATICAL MODELLING OF UNSTEADY MHD DOUBLEDIFFUSIVE NATURAL CONVECTION FLOW IN A SQUARE CAVITY
a Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle, A.P, 517325, India.
b Department of Mathematic, JNTUA College of Engineering, Pulivendula, A.P, 516390, India.
* Corresponding Author: Email:
Frontiers in Heat and Mass Transfer 2017, 9, 1-9. https://doi.org/10.5098/hmt.9.33
Abstract
Two-dimensional unsteady laminar double-diffusive free convective flow of a conducting fluid in a thermally insulated square enclosure except the left wall has been numerically studied in presence of heat generation/absorption. The Marker and Cell (MAC) method is employed for solving nonlinear momentum, energy and concentration equations and the numerical MATLAB code is validated with the previous study. The computed results are depicted graphically and discussed for various values of Rayleigh number (Ra), Hartmann number (Ha), Buoyancy ratio parameter (N), Lewis number (Le) and heat absorption/generation parameter (γ). It is observed that the rate of heat and mass transfer decreases with increasing Rayleigh number.Keywords
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