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HOMOTOPY PERTURBATION METHOD FOR VISCOUS HEATING IN PLANE COUETTE FLOW

ABSTRACT

In this paper, the problem of viscous heating in plane Couette flow is considered by the homotopy perturbation method. The non-linear terms are expanded to Taylor series of the homotopy parameter. The obtained solutions are shown graphically and are compared with the exact solutions. The obtained results illustrate the efficiency and convenience of the method.

KEYWORDS

homotopy perturbation method, homotopy equation, Taylor series, plane Couette flow, viscous dissipation

PAPER SUBMITTED: 2013-01-18

PAPER REVISED: 2013-04-26

PAPER ACCEPTED: 2013-04-26

PUBLISHED ONLINE: 2013-12-28

DOI REFERENCE: https://doi.org/10.2298/TSCI1305355Y

CITATION EXPORT: view in browser or download as text file

THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE No. 5, PAGES [1355 - 1360]

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Homotopy perturbation method for viscous heating in plane Couette flow

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence

THERMAL SCIENCE

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Yin-Shan Yun

Chaolu Temuer

HOMOTOPY PERTURBATION METHOD FOR VISCOUS HEATING IN PLANE COUETTE FLOW