Analytical solution of unsteady three-dimensional MHD boundary layer flow and heat transfer due to impulsively stretched plane surface

Kumari, M. ; Nath, G. (2009) Analytical solution of unsteady three-dimensional MHD boundary layer flow and heat transfer due to impulsively stretched plane surface International Journal of Engineering Science, 14 (8). pp. 3339-3350. ISSN 0020-7225

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S10075...

Related URL: http://dx.doi.org/10.1016/j.cnsns.2008.11.011

Abstract

The unsteady magnetohydrodynamic viscous flow and heat transfer of Newtonian fluids induced by an impulsively stretched plane surface in two lateral directions are studied by using an analytic technique, namely, the homotopy method. The analytic series solution presented here is highly accurate and uniformly valid for all time in the entire region. The effects of the stretching ratio and the magnetic field on the surface shear stresses and heat transfer are studied. The surface shear stresses in x- and y-directions and the surface heat transfer are enchanced by increasing stretching ratio for a fixed value of the magnetic parameter. For a fixed stretching ratio, the surface shear stresses increase with the magnetic parameter, but the heat transfer decreases. The Nusselt number takes longer time to reach the steady state than the skin friction coefficients. There is a smooth transition from the initial unsteady state to the steady state.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Unsteady; Three-dimensional Boundary Layer Flow and Heat Transfer; Stretching Surface; Impulsive Motion; Magnetic Field
ID Code:37481
Deposited On:18 Apr 2011 13:24
Last Modified:18 Apr 2011 13:24

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