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Yin-Shan Yun

,

Chaolu Temuer

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 Issue 5, PAGES [1355 - 1360]
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Homotopy perturbation method for viscous heating in plane Couette flow

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