Unsteady Viscous Incompressible Bingham Fluid Flow through a Parallel Plate

Abstract

Numerical investigation for unsteady, viscous, incompressible Bingham fluid flow through parallel plates is studied. The upper plate drifts with a constant uniform velocity and the lower plate is stationary. Both plates are studied at different fixed temperatures. To obtain the dimensionless equations, the governing equations for this study have been transformed by usual transformations. The obtained dimensionless equations are solved numerically using the explicit finite difference method (FDM). The studio developer Fortran (SDF) 6.6a and MATLAB R2015a are both used for numerical simulations. The stability criteria have been established and the system is converged for Prandtl number Pr≥0.08 with ΔY=0.05 and Δτ=0.0001 as constants. As a key outcome, the steady-state solutions have been occurred for the dimensionless time τ = 4.00. The influence of parameters on the flow phenomena and on shear stress, including Nusselt number, are explained graphically. Finally, qualitative and quantitative comparison are shown.

Ion-Slip Effects on Bingham Fluid Flowing Through an Oscillatory Porous Plate with Suction

“…Some successful studies within a similar calculation framework can be found in Refs. [26][27][28][29][30][31].…”

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

“…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?…”