Radiative Effects on Unsteady MHD Couette Flow through a Parallel Plate with Constant Pressure Gradient

Abstract

In this paper, the unsteady MHD Couette flow through a porous medium of a viscous incompressible fluid bounded by two parallel porous plates under the influence of thermal radiation and chemical reaction is investigated. A uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to the constant pressure gradient. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using the Eigenfunction expansion technique. The influence of some emerging non-dimensional parameters namely, pressure gradient, suction parameter, radiation parameter, and Hartman number are examined in detail. It is observed that the primary velocity is increased with increasing pressure gradient while the increase in radiation parameter leads to adecrease in the thermal profile of the flow.

Effects of Chemical Reaction and Joule Heating on MHD Generalized Couette Flow between Two Parallel Vertical Porous Plates with Induced Magnetic Field and Newtonian Heating/Cooling

“…Using equation (15) into equations ( 9)-( 12), in fnite diference form the governing equations becomes…”

“…Hussain et al [14] analyzed instability of the MHD Couette fow of an electrically conducting fuid. Anyanwu et al [15] discussed the infuence of radioactive and a constant pressure gradient on an unsteady MHD Couette fow.…”

Viscosity and Hall Effects on Unsteady MHD Casson Fluid Flow Through a Parallel Porous Plate

“…Following Anyanwu et al [3] while they analyzed the flow under constant pressure gradient, the unsteady flow of a viscous, incompressible, non-conducting fluid through a channel with chemical reaction and thermal radiation in the presence of magnetic field is investigated under a time/temperature dependent pressure gradient. The flow is assumed to be laminar, incompressible and flows between two infinite horizontal plates located at yh  which extends from x   to  and from z   to  .…”

“…They observed fluid flow back at the wavy wall. Anyanwu et al [3] studied the radiative effects on unsteady MHD Couette flow through a parallel plate with constant pressure gradient.…”

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

“…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. In their research, Anyanwu et al [10] looked at the effects of thermal radiation and chemical reactivity on the MHD Couette flow of a fluid between two parallel porous plates. Katagi and Bhat [11] looked into the challenge of maintaining laminar flow in a hydromagnetic field while transporting a viscous, incompressible, electrically conducting fluid between parallel plates.…”