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Home  >  Volume 51

3. HEAT AND MASS TRANSFER OF A CASSON FLUID OVER AN EXPONENTIALLY PERMEABLE SHRINKING SHEET IN POROUS MEDIUM AND IN THE PRESENCE OF A MAGNETIC FIELD by E. O. Oghre, I. F. Ekang and A. O. Popoola Volume 51 (May, 2019 Issue)
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HEAT AND MASS TRANSFER OF A CASSON FLUID OVER AN EXPONENTIALLY

PERMEABLE SHRINKING SHEET IN POROUS MEDIUM AND IN THE PRESENCE OF

A MAGNETIC FIELD

E. O. Oghre, I. F. Ekang and A. O. Popoola

Department of Mathematics, Faculty of Physical Science, University of Benin, Benin City, Nigeria.

Department of Mathematics, Faculty of Science, University of Uyo, Uyo, Nigeria.

Department of Mathematics, Osun State University, Osogbo.

Abstract

The influence of some fluid parameters of engineering interest on heat and mass

transfer of a Casson fluid over an exponentially permeable shrinking sheet in porous

medium and in the presence of a magnetic field is considered. The resulting partial

differential equations are converted to a system of ordinary differential equations using

the appropriate similarity transformation and solved numerically using shooting

technique with fourth order Runge – Kutta method. We observed that the Casson

parameter, Hartmann number, permeability parameter, suction parameter, Eckert

number, Prandtl number and Schmidt number are significant to the momentum and

thermal boundary layer thickness, and solute concentration. Furthermore, the skin

friction coefficient, heat and mass transfer coefficients are influenced by the increase

in Casson and permeability parameters.

The study concludes that some fluid parameters have significant effect on the heat and

mass transfer of the fluid. Graphical demonstration of the results showed more lights

on the behavior of the system. An excellent agreement was also found when the results

obtained in this study was compared with the previous literature.

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