RT Journal Article ID 761b80d326b9b96f A1 Ranjbar, Ali Akbar T1 Perturbation-Based Analysis to Investigate the Effects of Temperature-Dependent Viscosity in a Two-Layer Plane Couette Flow JF Heat Transfer Research JO HTR YR 2005 FD 2005-05-03 VO 36 IS 1&2 SP 141 OP 149 AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/46784ef93dddff27,28ca8f0371ae4c4b,761b80d326b9b96f.html