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Heat transfer effects in a Couette flow through a composite channel partly filled by a porous medium with a transverse sinusoidal injection velocity and heat source

Chauhan Singh Dileep (Department of Mathematics, University of Rajasthan, Jaipur, India)
Kumar Vikas (Department of Mathematics, University of Rajasthan, Jaipur, India)

This study theoretically analyzes the heat transfer effects in a three dimensional Couette flow through a composite parallel porous plate channel partly filled by a porous medium. The flow is three dimensional in the channel because of the application of a transverse sinusoidal injection velocity of a particular form at the lower stationary plate. The governing equations are solved using a perturbation series expansion method. The effects of various flow parameters such as, Prandtl number (Pr), suction/injection parameter (λ), permeability of the porous medium (K), heat source parameter (S), and viscosity ratio parameter (Ф1), are investigated on temperature distribution in the composite channel and rate of heat transfer at the upper moving plate and at the fluid-porous medium interface, and discussed graphically.

Keywords: heat transfer, Couette flow, composite channel, porous medium, permeability