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ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561
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1.7
5-Year IF:
1.4
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0.6
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0.00072
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SJR:
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CiteScore™::
3.5
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28
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Perturbation-Based Analysis to Investigate the Effects of Temperature-Dependent Viscosity in a Two-Layer Plane Couette Flow
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ABSTRAKT
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.