Impact of relative motion of a magnetic field on unsteady magnetohydrodynamic natural convection flow with a constant heat source/sink

Abstract

This study analyzes time-dependent magnetohydrodynamics natural convective flow of a viscous incompressible fluid in an annulus with ramped motion of the boundaries. The governing momentum and energy equations are solved analytically, in terms of the modified Bessel function of the first and second kinds. The influence of governing parameters such as the Hartman number, radius ratio, Grashof number, heat absorption parameter, and Prandtl number are discussed with the help of line graphs. It is found that the Hartmann number has a retarding effect on fluid velocity when K = 0.0 and K = 0.5, while the reverse effect is noticed when K = 1.0. The Hartman number also decreases the mass flow rate for all cases of K while it enhances the skin friction at the inner surface of the outer cylinder. It increases the skin friction at the outer surface of the inner cylinder when K = 1.0 and K = 0.0, but decreases the skin friction at the outer surface of the inner cylinder when K = 0.5.

Numerical simulation of natural convection MHD flow in a wavy L‐shaped cavity with line heat source using hybrid EFGM/FEM

“…A heat generating or conducting element such as a heat source plays important role in many technologies for controlling or enhancing the heat transfer rate. Lawal and Jibril 20 considered constant heat sources within the oval‐shaped annulus and discussed the effect of the location of heat source and length of heat source on heat transfer rate. Rashad et al 21 inspected the effect of heat source from internal and below within the inclined triangular cavity and analyzed the heat transfer rate and fluid flow decreases with increasing the size of the heat source due to the conduction heat transfer dominance.…”

Analysis and Simulation of Hydromagnetic Nano-Fluid Flow Passing an Inclined Heated Sheet

“…However Singh and Singh [13] also investigated MHD natural convection and mass transmission flow over a non-curved surface. The study of the influence of comparative movement of a magnetic field upon unsteady MHD free convective passage was carried out by Lawal and Jibril [14]. They applied analytical means in their solution and hinted that the Hartmann number increases the skin friction at the innermost surface of the external cylinder.…”

Magneto-Hydrodynamic Natural Convection Flow in a Concentric Annulus with Ramped Temperature and Ramped Motion of the Boundaries

“…More also, the various values of the non-dimensional heat absorption parameter (A) and the corresponding values of annular gap are almost the same conditions. Other important researchers [20][21][22][23][24][25][26][27][28] investigated MHD flow under different physical geometry and thermal conditions of the boundaries.…”