Published April 3, 2006 | Version v1
Journal article

Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder

  • 1. Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403 (United States)
  • 2. Department of Mathematics, COMSATS Institute of Information Technology, H-8/I Islamabad (Pakistan)

Description

The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use

Additional details

Identifiers

DOI
10.1016/j.physleta.2005.12.033;
PII
S0375-9601(05)01902-X;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
352
Journal Issue
4-5
Journal Page Range
p. 404-410
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37068704
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
APPROXIMATIONS; CYLINDERS; EQUATIONS; FLUIDS; NONLINEAR PROBLEMS; PERTURBATION THEORY; SIMULATION; SURFACES; THIN FILMS; VELOCITY
Descriptors DEC
CALCULATION METHODS; FILMS

Optional Information

Copyright
Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.