COUETTE FLOW IN THE PRESENCE OF VISCOUS DISSIPATIVE FLUID ALONG AN UPSTANDING CHANNEL AFFECTED BY NEWTONIAN HEATING: HOMOTOPY PERTURBATION APPROACH

Abstract

This article attempts to describe the analytical implication of viscous dissipation on an electrically-conducting and incompressible fluid in a vertical channel controlled by Newtonian heating condition. The governing equations have been derived using homotopy perturbation method. The impacts of the pertinent flow parameters on velocity and temperature were graphically displayed. The rate of heat transfers and shear stress on the heated and cold plates have also been calculated. It is noteworthy to mention that the hydrodynamic and thermodynamic distributions of the fluid increase with an increase in the viscous dissipation parameter. The graphical comparison between the work of Zulkifree et al. (2019) and the present study demonstrates an excellent agreement for limiting case. This study can find relevance in science, engineering, and industrial technologies such as cooling of electrical appliances, geothermal energy, porous solids drying, thermal insulation, gas drainage, plasma physics, gas turbines, fossil fuel combustion, food processing industries, to mention a few.