Title

Analytic solution for axisymmetric flow over a nonlinearly stretching sheet

Authors

Authors

M. Sajid; T. Hayat; S. Asghar;K. Vajravelu

Comments

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Abbreviated Journal Title

Arch. Appl. Mech.

Keywords

axisymmetric flow; nonlinear stretching sheet; HAM solution; convergence; HOMOTOPY ANALYSIS METHOD; OLDROYD 6-CONSTANT FLUID; CONVECTED MAXWELL; FLUID; NON-NEWTONIAN FLUIDS; HEAT-TRANSFER; MAGNETOHYDRODYNAMIC FLOWS; MAGNETIC-FIELD; VISCOUS-FLOW; PLATE; 2ND-GRADE; Mechanics

Abstract

An analysis is performed for the boundary-layer flow of a viscous fluid over a nonlinear axisymmetric stretching sheet. By introducing new nonlinear similarity transformations, the partial differential equations governing the flow are reduced to an ordinary differential equation. The resulting ordinary differential equation is solved using the homotopy analysis method (HAM). Analytic solution is given in the form of an infinite series. Convergence of the obtained series solution is explicitly established. The solution for an axisymmetric linear stretching sheet is obtained as a special case.

Journal Title

Archive of Applied Mechanics

Volume

78

Issue/Number

2

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

127

Last Page

134

WOS Identifier

WOS:000251648500005

ISSN

0939-1533

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