Unsteady axisymmetric flow of a second-grade fluid over a radially stretching sheet

Abstract

In this article, we provide an analytic solution for the problem of unsteady axisymmetric flow of a second-grade fluid over a radially stretching sheet. The governing equations are first modeled and then converted into a non-linear partial differential equation by utilizing similarity transformations. The series solution is constructed by the homotopy analysis method (HAM). The explicit expressions for the velocity and skin friction are developed and discussed for the sundry flow parameters. It is worth mentioning that the present solution is valid for all values of the dimensionless time. © 2008 Elsevier Ltd. All rights reserved.