Analytical and numerical study of a pulsatile flow in presence of a magnetic field

This paper deals with the effects of magnetic field on heat transfer in a pulsatile flow. A mathematical model is developed to investigate the impact of magnetic field on the velocity and the temperature distributions between two concentric ducts. Finite differences method is used in order to solve the dimensionless governing equations, and implicit schemes for velocity and temperature are obtained. The effects of magnetic field on the velocity are represented by the Hartmann number. It is found that the increase of magnetic field leads to eliminate the annular effect of the pulsatile flow. It is also found that the velocity can be controlled by the external magnetic field which leads to affect the temperature profiles and so the heat transfer that could be improved or reduced by mastering the magnetic field.