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COMBINED EFFECTS OF JOULE HEATING AND VISCOUS DISSIPATION ON TRANSIENT MHD NATURAL CONVECTION OF VISCOELASTIC FLUID OVER A VERTICAL SURFACE

Pages: 35 to 46

Mohammed Q. Al-Odat, Abdulamjeed Saeed Al-Ghamdi and Abdullah H. AlEssa

Abstract:

The combined effects of Joule heating and viscous dissipation on transient Magnetohydrodynamics (MHD) free convective flow of an incompressible electrically-conducting viscoelastic second-order fluid over a vertical surface are investigated numerically. The governing non-linear dimensionless equations are solved using an implicit finite difference scheme of Crank-Nicolson type with a tri-diagonal matrix manipulation. Effects of viscoelastic parameter, Magnetic parameter, Eckert number and Prandtl number on the flow and heat transfer transient characteristics are studied. It was found that, the velocity inside the boundary layer increases as the viscoelastic parameter increases, and accordingly the skin friction coefficient increases. Conversely an opposite behavior is observed for the temperature profiles.

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