Radiation Effects on Free Convection MHD Couette Flow Started Exponentially with Variable Wall Temperature in Presence of Heat Generation

Sanatan Das, Bhaskar Chandra Sarkar, Rabindra Nath Jana

Department of Applied Mathematics, Vidyasagar University, Midnapore, India.

DOI: 10.4236/ojfd.2012.21002                

Abstract

Radiation effects on free convection MHD Couette flow started exponentially with variable wall temperature in the presence of heat generation have been studied. The governing equations are solved analytically using the Laplace transform technique. The variations of velocity and fluid temperature are presented graphically. It is observed that the velocity decreases with an increase in either magnetic parameter or radiation parameter or Prandtl number. It is also observed that the velocity increases with an increase in either heat generation parameter or Grashof number or accelerated parameter or time. An increase in either radiation parameter or Prandtl number leads to fall in the fluid temperature. It is seen that the fluid temperature increases with an increase in either heat generation parameter or time. Further, it is seen that the shear stress at the moving plate decreases with an increase in either magnetic parameter or radiation parameter while it increases with an increase in either heat generation parameter or Prandtl number. The rate of heat transfer increases with an increase in either Prandtl number or time whereas it decreases with an increase in heat generation parameter.

Keywords

MHD Couette Flow; Free Convection; Magnetic Parameter; Radiation; Heat Generation; Prandtl Number; Grashof Number and Accelerated Parameter

Conflicts of Interest

The authors declare no conflicts of interest.

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