Unsteady Magnetohydrodynamic Boundary Layer Flow near the Stagnation Point towards a Shrinking Surface

Santosh Chaudhary, Pradeep Kumar

Department of Mathematics, Malaviya National Institute of Technology, Jaipur, India.

DOI: 10.4236/jamp.2015.37112                

Abstract

The unsteady two-dimensional, laminar flow of a viscous, incompressible, electrically conducting fluid towards a shrinking surface in the presence of a uniform transverse magnetic field is studied. Taking suitable similarity variables, the governing boundary layer equations are transformed to ordinary differential equations and solved numerically by a perturbation technique for a small magnetic parameter. The effects of various parameters such as unsteadiness parameter, velocity parameter, magnetic parameter, Prandtl number and Eckert number for velocity and temperature distributions along with local Skin friction coefficient and local Nusselt number have been discussed in detail through numerical and graphical representations.

Keywords

Unsteady Flow, Magnetohydrodynamic, Boundary Layer, Stagnation Point, Shrinking Surface

Conflicts of Interest

The authors declare no conflicts of interest.

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