Abstract
Unsteady flow and heat transfer of UCM fluid in a porous channel with variable thermal conductivity and ion slip effects
Highlights
The flow and heat transfer pertaining to non-Newtonian fluids through porous channels have immense importance both in industrial as well as biological flows, for example aerodynamics, lubrication, petroleum industries, polymers, electro-and magneto-responsive suspensions, cosmetic industry, the flow of blood in the arteries and the mechanics of cochlea in the human ear
Seyf and Rassoulinejad-Mousavi (2011) have analyzed a two dimensional laminar viscous fluid flow in a porous channel with moving or stationary walls subjected to injection/suction and the reduced flow field equations are solved by Homotopy Perturbation method (HPM)
We considered the effect of temperature dependent thermal conductivity on the MHD Upper Convected Maxwell (UCM) fluid flow between parallel porous plates with Hall and ion slip currents, where the flow is induced by periodic suction and injection
Summary
The flow and heat transfer pertaining to non-Newtonian fluids through porous channels have immense importance both in industrial as well as biological flows, for example aerodynamics, lubrication, petroleum industries, polymers, electro-and magneto-responsive suspensions, cosmetic industry, the flow of blood in the arteries and the mechanics of cochlea in the human ear. The influence of variable thermal conductivity and variable viscosity on the hydromagnetic flow and heat transfer over a stretching sheet has been analyzed by Prasad et al (2010) and obtained a numerical solution for the governing coupled non linear differential equation by the Keller box method. The effect of Hall current on unsteady incompressible MHD flow and heat transfer between two parallel plates under the influence of temperature dependent viscosity and thermal conductivity is considered by Attia et al (2003) and obtained a numerical solution by finite difference method. Shateyi et al (2015) have studied the entropy generation on MHD Maxwell fluid flow and heat transfer over a stretching sheet in a Darcian porous medium and obtained a numerical solution for reduced non linear governing equations by using the Chebyshev spectral collocation method and the results are validated with Matlab BVp4c solver. The results are compared with published work (Terrill and Shreshta (1966), Odelu and Naresh (2015)) for viscous fluid flow
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