UNSTEADY PRESSURE DROP AND HEAT TRANSFER OF MAGNETOHYDRODYNAMIC ANNULAR TWO-PHASE IN RECTANGULAR CHANNEL

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.