Hall and ion-slip effects on unsteady MHD Bingham fluid flow with suction

Abstract

Hall and Ion-slip effects on unsteady MHD Bingham fluid flow through non-conducting parallel plates with uniform suction has been studied numerically. The fluid motion is subjected to uniform suction and external uniform magnetic field is applied perpendicular to the plates. The lower plate is stationary while upper plate moves with a constant velocity. Both plates are kept at different but constant temperatures. The governing non-linear coupled partial differential equations have been transformed into partial differential equations by usual transformations. The obtained equations have been solved numerically by the explicit finite difference method under the stability and convergence analysis. The effects of some important parameters on shear stress, Nusselt number as well as Primary Velocity, Secondary Velocity and Temperature distributions have been discussed graphically by MATLAB R2015a and Studio Developer FORTRAN 6.6a both. Finally, qualitative and quantitative comparisons of the present study with published results have been discussed.

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

“…Finally, a qualitative and quantitative comparisons of the current results with the published results of Mollah et al [14] are presented in Figures 11(a,b). Figure 11 shows that, both the researches show qualitatively quite same results.…”

“…Then the steady-state solution is calculated for the velocity and temperature profiles (see and Bingham number ( ) are not shown. Finally, a qualitative and quantitative comparison of the current study with the published results of Mollah et al [14] has been discussed in section 4.4.…”

“…Islam et al [13] mentioned the comparison criteria of the obtained result with the published result. Mollah et al [14,15] studied the Hall and Ion-slip effects on unsteady MHD Bingham fluid flow with suction. They also discussed the Bingham fluid flow in different cases, like, considering the laminar flow between two Riga (a combination of stable magnets and alternating electrodes) plates [16], considering oscillation on the upper plate of the porous channel [17].…”

“…They also discussed the Bingham fluid flow in different cases, like, considering the laminar flow between two Riga (a combination of stable magnets and alternating electrodes) plates [16], considering oscillation on the upper plate of the porous channel [17]. Islam et al [18] studied the Bingham fluid through parallel plate, they didn't consider the magnetohydrodynamic (MHD) phenomena while in previous research the MHD phenomena are considered [14][15][16][17]. Now the question arises: What are the flow characteristics while the Bingham fluid is flowing through a porous parallel plate in the presence of Hall and Ion-slip current?…”

EMHD Laminar Flow of Bingham Fluid Between Two Parallel Riga Plates

“…The slow spreading of a sheet of Bingham fluid on an inclined plane, Hall impact and heat transfer about unsteady MHD Couette flow, numerical simulation of Taylor Couette flow, Couette-Poiseuille flow, explicit equations for laminar flow including or excluding suction, injection, slip condition through parallel plate or porous parallel plates or in a channel have been reviewed [11][12][13][14][15][16]. The MHD Couette flow including thermal radiation, laminar flow with suction and Hall current as well as Ion-slip, unsteady boundary layer flows in a porous medium, viscous incompressible flow including Hall current and MHD two-phase Couette flow for the Bingham fluid through parallel plates or moving plates with heat source and viscous dissipation have been numerically studied [17][18][19][20][21][22][23]. For Bingham Plastic, the circular heat and solute source within a viscoplastic porous enclosure: the critical source dimension for optimum transfers has been considered by [24].…”