Forced convection magnetohydrodynamic flow past a circular cylinder by considering the penetration of magnetic field inside it

Abstract

A numerical investigation is carried out to analyze forced convection heat transfer in magnetohydrodynamic (MHD) flow past a circular cylinder by considering the penetration of magnetic field inside it. The coupled Navier–Stokes and Maxwell equations are solved along with the energy equation using fourth-order compact finite difference scheme. We have found that the actual decrease in the rate of heat transfer upon the increase in magnetic field is almost double than what is presented in earlier studies where magnetic field is not considered to penetrate inside the cylinder. A non-monotonic behavior of local Nusselt number and mean Nusselt number with interaction parameter is observed which is in good agreement with experimental findings. Validity of heat transfer with quasi static MHD (QSMHD) flow suggests that the heat transfer results of QSMHD flow can be reproduced from our full MHD model in the limit of vanishing magnetic Reynolds number.