Annular unidirectional slip Couette flow with heat transfer and variable viscosity

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Abstract This paper investigates the thermal, variable viscosity axial Couette flow between two con-centric circular cylinders, taking into account both the Navier and the dynamical slip boundary conditions. The nonlinear governing equations for momentum and energy balance are solved under start-up condition using the Laplace transform (LT) technique, in conjunction with the Homotopy Perturbation Method (HPM). The first two orders of approximation for tempera- ture and velocity are obtained, as well as the entropy generation in the space occupied by the flow and the volumetric flux. Numerical results and graphical representations of the solution are provided and discussed to depict the effects of the slip parameters on the velocity and the temperature profiles, on the entropy generation rate and on the volumetric flux.

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