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Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity
Applied and Computational Mathematics
Volume 3, Issue 2, April 2014, Pages: 48-56
Accepted: Apr. 22, 2014; Published: Apr. 30, 2014
Authors
Ime Jimmy Uwanta, Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
Halima Usman, Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
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Abstract
The objective of this paper is to study thermal conductivity and magnetic field intensity effects on heat and mass transfer flow over a vertical channel both numerically and analytically. The non-linear partial differential equations governing the flow are non-dimensionalised, simplified and solved using Crank Nicolson type of implicit finite difference method. To check the accuracy of the numerical solution, steady state solutions for velocity, temperature and concentration fields are obtained by using perturbation method. Graphical results for velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number have been obtained, to show the effects of different parameters entering in the problem. Results from these study shows that velocity, temperature and concentration increases with the increase in the dimensionless time until they reach steady state value. Also, it was observed that the analytical and numerical solutions agree very well at large values of time.
Keywords
Thermal Conductivity, Heat and Mass Transfer, Magnetic Field, Thermal Radiation
Ime Jimmy Uwanta, Halima Usman, Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity, Applied and Computational Mathematics. Vol. 3, No. 2, 2014, pp. 48-56. doi: 10.11648/j.acm.20140302.12
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