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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v36.i12.160
pages 141-149

Perturbation-Based Analysis to Investigate the Effects of Temperature-Dependent Viscosity in a Two-Layer Plane Couette Flow

Ali Akbar Ranjbar
School of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran

RÉSUMÉ

A solution of the problem of a two-layer plane Couette flow with temperature-dependent viscosity (TPCF) and no-slip boundary condition at the surface using a perturbation method is presented. The method of matched asymptotic expansions is applied in order to find the effects of the Nahme-Griffith number Na, Brinkman number Br, and activation-energy parameter on the velocity profile and temperature distribution. The literature on the topic of multi-layer plane Couette flows is restricted to the case where viscosity does not depend on temperature [Dafermos, C. M. and Hsiao, L. Quart. Appl. Math., 1983, Vol. 41, pp. 45-58 and Nonlinear Analysis, 1982, Vol. 6, pp. 435-454], and the aim of the present paper is to fill this gap in the literature.


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