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RESEARCH PAPERS

The Axisymmetric Motion of a Liquid Film on an Unsteady Stretching Surface

[+] Author and Article Information
R. Usha

Department of Mathematics, Indian Institute of Technology, Madras, Tamil Nadu, India

Rukmani Sridharan

Department of Mathematics, Stella Maris College, Madras, Tamil Nadu, India

J. Fluids Eng 117(1), 81-85 (Mar 01, 1995) (5 pages) doi:10.1115/1.2816830 History: Received April 15, 1993; Revised September 06, 1994; Online December 04, 2007

Abstract

The axisymmetric motion of a fluid caused by an unsteady stretching surface that has relevance in extrusion process and bioengineering has been investigated. It has been shown that if the unsteady stretching velocity is prescribed by rb/(1−αt), then the problem admits a similarity solution which gives much insight to the character of solutions. The asymptotic and numerical solutions are obtained and they could be used in the testing of computer codes or analytical models of more realistic engineering systems. The results are governed by a nondimensional unsteady parameter S and it has been observed that no similarity solutions exist for S > 4.

Copyright © 1995 by The American Society of Mechanical Engineers
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