Heat and Mass Transfer Analysis on Magneto Micropolar Fluid Flow with Heat Absorption in Induced Magnetic Field

Abstract

Heat and mass transfer due to a magneto micropolar fluid flow along a semi-infinite vertical plate bounded by a porous medium are investigated in presence of induced magnetic field. In case of cooling flow, heat and mass fluxes from the plate are subjected to be constant under the action of a constant heat sink. Mathematical model related to the problem is developed from the basis of studying magnetohydrodynamics (MHD) for both lighter and heavier particles. Dimensionless model of momentum, microrotation, induction, energy and concentration equations are solved simultaneously by the explicit scheme of finite difference technique. According to the obtained stability and convergence criteria of this transient flow, very negligible time step (Δt = 0.002) compared to the existing works has been taken to perform the numerical computation. Quantities of chief physical interest of the flow as shear stress, couple stress, current density, Nusselt number and Sherwood number are also studied here. The numerically computed results are compared with published results of available research works. Interestingly an excellent agreement is found with finite difference solutions in both explicit and implicit schemes. In order to discuss the physical aspects of the problem, the flow variables for different values of associated parameters are illustrated in graphs. Finally, important findings of the study are listed as concluding remarks.

Energy transport boosters of magneto micropolar fluid flowing past a cylinder: A case of laminar combined convection

“…Results from this investigation show that an increase in the nonlinear stretching parameters resulted in the thickness fall of momentum and thermal boundary layers. Haque 2 analyzed the process of heat transfer in boundary layer magneto micropolar fluid along a semi-infinite vertical plate in a porous medium, while Fatunmbi and Okoya, 3 investigated the process of heat transfer due to magneto micropolar fluid flow past a flat stretching sheet with temperature-dependent material properties and bounded by a porous medium . More recent studies on this subject can be seen in Refs.…”

Radiative and MHD Effects on Time-Dependent Thermal-Material Transfer by Micropolar Binary Mixture

“…Considering the heat transfer by radiative influence, Baruah and Hazarika [22] discussed the impacts of variable viscosity as well as thermal conductivity on unsteady micropolar fluid around a porous cylinder. Haque [23] deeply studied the impacts of induced magnetic field on the transient heat-mass transport and MHD micropolar fluid flow. He thought of fluid flow crossing a vertical surface that is semi-infinite and surrounded by a permeable medium and a steady heat sink.…”

Numerical Study on Transient Flow of Micropolar Fluid in a Non-Darcy Porous Medium in the Presence of Magnetic Field

“…It has been noted that the magnetic field droops the boundary layer flow. In 2021, Haque [19] investigated the effect of induced magnetic field on a micropolar fluid flow through a semi-infinite plate. He noted that the steady state solution arises when the induced magnetic field and microrotation increased.…”

“…He noted that the steady state solution arises when the induced magnetic field and microrotation increased. However, the study of micropolar fluid flow in the presence of non-Darcy porous media has not been adequately considered [19].…”

“…The coefficients of 𝑈 𝑖,𝑗 and 𝑉 𝑖,𝑗 in Eqns. (15) to(19) have been determined as constant for every iteration. Using the finite difference approximation technique, the new velocity profile, temperature distribution, concentration and microrotation are at the interior nodal points U, 𝑇 ̄′, 𝐶 ̄′, and, 𝛤 ̄′, respectively.…”