The Axisymmetric Motion of a Liquid Film on an Unsteady Stretching Surface-Reference-Cited by-同舟云学术

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

Published:1995-03-01 Issue:1 Volume:117 Page:81-85
ISSN:0098-2202
Container-title:Journal of Fluids Engineering
language:en
Short-container-title:

Author:

Usha R.¹,Sridharan Rukmani²

Affiliation:

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

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

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.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/117/1/81/5711835/81_1.pdf

Reference7 articles.

1. Bluman, G. W., and Cole, J. D., 1974, Similarity Methods for Differential Equations, Springer-Verlag, New York.

2. Brady J. F. , and AcrivosA., 1981, “Steady Flow in a Channel or Tube with an Accelerating Surface Velocity. An Exact Solution to the Navier-Stokes Equations with Reverse Flow,” Journal of Fluid Mechanics, Vol. 112, pp. 127–150.

3. Crane L. J. , 1970, “Flow Past a Stretching Plane,” Zeitschrift fuer Angewandte Mathematik und Physik, Vol. 21, pp. 645–652.

4. Usha R. , and UmaM., 1991, “Similarity Transformations for the Unsteady, Axisymmetric, Squeeze Flow Problems,” Indian Journal of Technology, Vol. 29, pp. 493–497.

5. Wang C. Y. , 1984, “The Three-Dimensional Flow Due to a Stretching Flat Surface,” Physics of Fluids, Vol. 27, pp. 1915–1917.

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