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Nonlinear mixed convection flow in an inclined channel with time-periodic boundary conditions. (English) Zbl 1460.76720

Summary: This article scrutinises the role of nonlinear Boussinesq approximation on mixed convection flow in an inclined channel when one of the walls is kept at constant temperature while is other one is periodically heated. By expanding the Boussinesq approximation up to second degree Taylor series expansion, the governing momentum and energy equations are derived and solved analytically. During the course of graphical and numerical simulations, results show that the role of nonlinear Boussinesq approximation is to increase fluid velocity, interval of reverse flow formation at the walls, pressure drop and fanning frictional factor.

MSC:

76R05 Forced convection
76R10 Free convection
80A19 Diffusive and convective heat and mass transfer, heat flow
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