Two-phase steady flow along a horizontal glass pipe in the presence of the magnetic and electrical fields

This study examines the effect of the electrical and magnetic field which is applied perpendicular to the flow and each other on the two-phase steady flow in a glass pipe. Micron-sized iron powder, which are highly conductive, magnetizable, are used for the first phase of the fluid and then pure water which is not magnetizable and has very low electrical conductivity is used for the second phase. The mathematical model is derived by adding a term representing the impact of electro-magnetic force to the momentum equation of the multi-phase fluids in the interactive magnetizable phase. The derived model is analytically solved by using the methods of Laplace and D’Alambert. According to obtained results, when only magnetic and electrical fields are applied perpendicular to the flow of the mixture, local flow velocity of the first phase is decreased due to the direct effect of the magnetic field. The second phase local flow velocity is decreased due to the indirect effect of the magnetic field which is caused by the interaction of the phases. As a result, it is seen that the electromagnetic force is effecting the nonconductor phase of the mixture through the conductor phase which it can directly affect.