Authors

S. Nadeem; A. Hussain;K. Vajravelu

Comments

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Abbreviated Journal Title

Z. Naturfors. Sect. A-J. Phys. Sci.

Keywords

Stagnation Flow; Heat Transfer; Third-Order Fluid; Shrinking Sheet; Homotopy Analysis Method; HOMOTOPY ANALYSIS METHOD; BOUNDARY-LAYER-FLOW; MIXED CONVECTION FLOW; STRETCHING SHEET; MASS-TRANSFER; MHD FLOW; ANALYTIC SOLUTION; SERIES; SOLUTION; SURFACE; POINT; Chemistry, Physical; Physics, Multidisciplinary

Abstract

This paper is devoted to the study of a stagnation point flow of an incompressible third-order fluid towards a shrinking sheet (with heat transfer). The governing nonlinear partial differential equations are reduced into nonlinear ordinary differential equations by means of a similarity transformation and then solved by the homotopy analysis method. Two types of flow problems, namely, (i) two dimensional stagnation flow toward a shrinking sheet and (ii) axisymmetric stagnation flow towards an axisymmetric shrinking surface have been discussed. Also, two types of boundary conditions are taken into account: (i) prescribed surface temperature (PST) and (ii) prescribed heat flux (PHF) case. The effects of various emerging parameters of non-Newtonian fluid have been investigated in detail and shown pictorically. The convergence of the solutions have been discussed through h-curves and residual error. For further validity, the homotopy Pade approximation is also applied.

Journal Title

Zeitschrift Fur Naturforschung Section a-a Journal of Physical Sciences

Volume

65

Issue/Number

11

Publication Date

1-1-2010

Document Type

Article

Language

English

First Page

969

Last Page

994

WOS Identifier

WOS:000286568300010

ISSN

0932-0784

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