Thermo-fluidic transport of electromagnetohydrodynamic flow in a corrugated porous medium microchannel
Department of Mathematics, GITAM Deemed to be University, 502324, Hyderabad, India
2 Department of Mathematics, Jadavpur University, 700032, Kolkata, India
Accepted: 26 April 2021
Published online: 5 May 2021
In this paper, the heat transfer characteristics associated with the impact of combined electromagnetohydrodynamic flow in a microchannel with the regular wavy rough wall through a porous medium have been investigated. The approximate analytical solutions for the velocity and potential distribution are obtained using the perturbation technique. To study the thermal characteristics, the analytical solution for temperature distribution in the presence of Joule heating is derived. Impressive results are obtained to examine the behavior of velocity and temperature due to the rough wavy wall in the presence of applied magnetic field and transverse electric field. The significant effects on velocity and heat transport within the corrugated microchannel for various combination of pertinent parameters such as Hartmann number, Darcy number and transverse electric field are elaborated. Furthermore, variation of the mean velocity and the rate of heat transfer characteristic due to wavy roughness and the magnetic field has been studied. The study shows that the mean velocity decreases with Darcy number and has enhancing effect on applied magnetic field, whereas the trend is reversed in the case of applied electric field. The rate of heat transfer increases with an increase in Joule heating effects, Hartmann number and permeability of the porous medium.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021