Mixed Convection MHD Flow of Viscoelastic Fluid in a Porous Medium past a Hot Vertical Plate

S. K. Ghosh, G. C. Shit

Department of Mathematics, Garbeta College, Paschim Medinipur, India.
Department of Mathematics, Jadavpur University, Kolkata, India.

DOI: 10.4236/wjm.2012.25032                

Abstract

The boundary layer flow of a steady incompressible and visco-elastic fluid with short memory (obeying Walters’ B fluid model) passing over a hot vertical porous plate has been investigated in the presence of transverse magnetic field. The momentum and energy equations are reduced to couple non-linear partial differential equations along with the boundary conditions by using a suitable similarity transformation. These partial differential equations are transformed to a system of coupled non-linear ordinary differential equations by employing a perturbation technique. The system is solved by developing a suitable numerical procedure such as implicit finite difference scheme along with Newton’s linearization method. The computational results for the flow quantities have presented graphically for the effects of thermal radiation, viscous dissipation, heat generation/absorption, visco-elasticity, Hartmann number and the permeability parameter. Results demonstrated that Prandtl number has more pronouncing effect on the temperature distribution rather than the viscosity parameter as well as the thermal radiation parameter. Further the velocity gradient changes significantly due to the presence of temperature dependent variable viscosity.

Keywords

MHD Flow; Variable Viscosity; Visco-Elastic Fluid; Viscous Dissipation; Thermal Radiation

Conflicts of Interest

The authors declare no conflicts of interest.

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