Unsteady Two-Layered Fluid Flow and Heat Transfer of Conducting Fluids in a Channel Between Parallel Porous Plates Under Transverse Magnetic Field

Abstract

The unsteady magnetohydrodynamic flow of two immiscible fluids in a horizontal channel bounded by two parallel porous isothermal plates in the presence of an applied magnetic and electric field is investigated. The flow is driven by a constant uniform pressure gradient in the channel bounded by two parallel insulating plates, one being stationary and the other oscillating, when both fluids are considered as electrically conducting. Also, both fluids are assumed to be incompressible with variable properties, viz. different viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the bounding plates are maintained at constant and equal temperatures. The governing equations are partial in nature, which are then reduced to the ordinary linear differential equations using two-term series. Closed form solutions for velocity and temperature distributions are obtained in both fluid regions of the channel. Profiles of these solutions are plotted to discuss the effect on the flow and heat transfer characteristics, and their dependence on the governing parameters involved, such as the Hartmann number, porous parameter, ratios of the viscosities, heights, electrical and thermal conductivities

MHD Heat Transfer in Two-Layered Flow of Conducting Fluids through a Channel Bounded by Two Parallel Porous Plates in a Rotating System

“…We note that when the motion is in a steady state and T = 0, 0   (i.e., without rigid rotation and non-porous boundaries), these results coincide with those of Malashetty and Leela [12]. Also, when T = 0, (i.e., for porous plates and without rigid rotation) the analysis is in agreement with the solutions of Raju and Sreedhar [47].…”

“…Umavathi et al [46] investigated oscillatory Hartmann twofluid flow and heat transfer in a horizontal channel. Raju and Sreedhar [47] discussed usteady two-fluid flow and heat transfer of conducting fluids in channels under transverse magnetic field. Raju and Valli [48] discussed an unsteady two-layered fluid flow and heat transfer of conducting fluids in a channel between parallel porous plates under transverse magnetic field.…”

Flow Features of Thermophoretic MHD Viscous Fluid Flow Past a Converging Channel with Heat Source and Chemical Reaction

“…Different applications and aspects of magnetohydrodynamic flow have been discussed by Nijsing and Eifler [12], Bansal [13], Moreau [14], Abel et al [15], etc. The effect of a transverse magnetic field on an electrically conductiong fluid in channels has been studied by Linga Raju et al [16]. The influence of chemical reaction on a magnetohydrodynamic flow in different flow configurations has been examined by a few authors, viz.…”

Unsteady MHD Flow Through Porous Medium In A Rotating Parallel Plate Channel Under The Influence Of Variable Pressure Gradient

“…Umavathi et al [43] investigated an oscillatory Hartmann two-fluid flow and heat transfer in a horizontal channel. Linga Raju and Sreedhar [25] discussed an unsteady two-fluid flow and heat transfer of conducting fluids in channels under transverse magnetic field. On the other hand, the simultaneous influence of rotation and an external magnetic field on electrically conducting two-layered/two-phase fluid systems seem to be dynamically important and physically useful etc.…”