UNSTEADY PRESSURE DROP AND HEAT TRANSFER OFMAGNETOHYDRODYNAMIC ANNULAR TWO-PHASE INRECTANGULAR CHANNEL

Abstract

An annular two-phase, steady and unsteady, flow model in which a conducting
fluid flow under the action of magnetic field is concavely. Two models are
presented, in the model one; the magnetic field is perpendicular to the long side of
the channel, while in the model two is perpendicular to the short side. Also, we
study, to some extent the single-phase liquid flow.
It is found that the motion and heat transfer equations are controlled by different
dimensionless parameters namely, Reynolds, Hartmann, Prandtl, and Poiseuille
parameters. The Laplace transform technique is used to solve each of the motion and
heat transfer equations. The effects of each of dimensionless parameters upon the
velocity and heat transfer is analyzed.
A comprehensive study for Model 1, and 2 is given. Also, a comparison study
among steady, unsteady, single-phase, two-phase for Model 1, and Model 2 is
considered.