Unsteady Flow and Heat Transfer in a Composite Porous Annulus with Time-Dependent Injection

Abstract

In the present study, we deal with the momentum and heat transfer analysis in a horizontal annulus of a composite porous medium. The Darcy-Brinkman model is used to develop the governing equations for the flow and heat transfer phenomenon. The annulus injects the time dependent oscillatory velocity normal to its surface. Both the regions of the flow have their own viscosities, and the heat transfer analysis is carried out by retaining viscous dissipation. The governing equations for flow and heat transfer are solved analytically using a perturbation series for solutions in both regions of the annulus. A brief parametric analysis is performed for the velocity and the temperature profiles through graphs.

Unsteady Chemically Reacting Casson Fluid Flow in an Irregular Channel with Convective Boundary

“…Among these, there are two important branches, characterised due to a variety of properties, Newtonian and non-Newtonian fluids. Newtonian fluids have been studied [1][2][3][4][5][6] for their application in daily life, such as paper production, glass blowing, geothermal energy extraction, and nuclear reactors. The unique relation of non-linearity between shear stress and the shear rate gave birth to the field of non-Newtonian fluids.…”