MHD Generalized Couette Flow and Heat Transfer on Bingham Fluid Through Porous Parallel Plates

Abstract

Bingham fluid through porous parallel plates with Ion-slip and Hall currents has been studied numerically. The non-linear PDEs, governing the problem under assumptions, have been transformed into dimensionless non-linear PDEs by using usual transformations. The obtained dimensionless governing equations have been solved numerically by applying the explicit finite difference method (FDM) with the help of MATLAB R2015a tool. The time sensitivity test is performed for the steady-state solution and is obtained at dimensionless time τ=4.00. It is also observed that the secondary velocity reaches the steady-state more gradually than the primary velocity and temperature profiles. The appropriate mesh space (m=40 and n=40) is obtained by the mesh sensitivity test. The impact of various interesting parameters on the primary velocity, secondary velocity and temperature profiles, also on the local Nusselt number and shear stress have been analyzed and discussed through the graph in details. Finally, a qualitative and quantitative comparison with the published results has been discussed.

Transient MHD Flow Between Parallel Plates with Influence of Periodic Magnetic Field and Periodic Heat Flux

“…Transient free convection flow of a fluid past an accelerating vertical plate is studied by Abdullah [7] using a theoretical model to examine the effect of magnetic field and periodic wall temperature. Bingham fluid through porous parallel plates has been studied, and the non-linear dimensionless governing equations have been solved numerically [8]. Delhi et al [9] used transform methods to solve the differential equations to examine the continuous two-dimensional MHD flow between two parallel plates when the plates' angular velocities were different.…”

Transient MHD Radiative Fluid Flow over an Inclined Porous Plate with Thermal and Mass Diffusion: An EFDM Numerical Approach

“…Islam et al [14] executed numerical counting on the MHD densitydependent flow with the magnetic field induction. Mollah et al [15,16] have researched the MHD in-between flow of Bingham materials through parallel Riga and/or porous plates. Omeshwar Reddy et al [17] examined the features of thermal diffusion, diffusion-thermo, and radiative behavior on flow with MHD fact.…”