Controlling of the melting through porous medium and magnetic field

Abstract

The melting procedure with a direct contact of phase change material is taken into account to consider the porous medium in the presence of a uniform and transverse magnetic field. A permeable rotating disk is taken as a heater in the melting progression of solid phase change material. The three-dimensional melting layer takes place due to the accruing of the temperature difference among the porous disk and solid material. Movement is subject to the effect of pressure loading (counting the weight of solid), direct relation with solid and rotation due to centrifugal force. The removal of melting is controlled due to the joint exertions of the porous media, wall permeability and resistive force generated due to the applied magnetic field. The motion of the melting layer is assumed unsteady and governed the nonlinear similarity equations. Furthermore, magnetic field, porosity, external load and wall suction enhance melting and heat transfer rates at the thin melts film thickness. The melting rate, momentum and thermal boundary layers are estimated under the impact of Stefan number, magnetic field, porosity parameter and unsteadiness parameter. The Eckert number enhances the thermal boundary layer, and consequently the larger amount of melting received. The governing PDEs is highly nonlinear; thus for the solution we use analytical method of HAM and BVPh 2.0 package. The important outputs of the thickness of the thin layer during melting process in the presence and absence of wall suction are mainly focused.

MHD Slip Flow and Heat Transfer with Ohmic Heating between a Rotating Solid Disk and Stationary Permeable Disk

“…The governing equations for velocity, temperature and concentration were solved using the Optimal Homotopy Analysis Method, and the effects of viscous dissipation, Brownian motion and thermophoresis were examined. Gul et al [9] considered the melting of a material and unsteady flow of the melted liquid over a permeable rotating disk under the influence of a uniform transverse magnetic field. The governing Brinkman and energy equations were solved using the homotopy analysis method, and the influence of relevant dimensionless parameters was investigated.…”

Novel insights into the computational techniques in unsteady MHD second‐grade fluid dynamics with oscillatory boundary conditions

“…They calculated the exact solution using separation of variables. More studies about fluids can be seen in References [8‐44].…”