Abstract
In this paper, we investigate the combine effects of magnetic field on the MHD flow of a third grade fluid through inclined channel in the presence of a uniform magnetic field with the consideration of heat transfer. Three different problems, Couette flow, Poiseuille flow and Couette-Poiseuille flow have been analysed. The non-linear differential equations governing the flow and heat transfer are solved for the velocity and temperature profile by employing the regular perturbation technique and the results are presented graphically.
Highlights
In recent years considerable interest has been developed in the study of the flow of third grade fluid through an inclined parallel plate because of its important applications in science, engineering and technology
We extend the work of Siddiqui et al [5] in two ways (i) to consider that the fluid is flowing down through inclined parallel plates and (ii) subjected the whole system into the magnetic field and analyze the effect of magnetic field on MHD flow
Because we considered that the flow is due to gravity and the movement of upper plate while the modified pressure gradient is neglected, the momentum and energy equations with their boundary conditions for Couette-Poiseuille flow will result to that of the Couette flow
Summary
In recent years considerable interest has been developed in the study of the flow of third grade fluid through an inclined parallel plate because of its important applications in science, engineering and technology. Because we considered that the flow is due to gravity and the movement of upper plate while the modified pressure gradient is neglected, the momentum and energy equations with their boundary conditions for Couette-Poiseuille flow will result to that of the Couette flow.
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