Hydromagnetic flow in a circular pipe

This paper describes the flow of an electrically conducting liquid in a circular pipe when a uniform magnetic field is applied in a direction transverse to the direction of flow. It is found that the velocity profile of the liquid transforms itself from a parabola into a plateau as a magnetic field of greater strength is applied. This suggests that the induction drag is important in the central layers while the ordinary visosity is dominant near the wall of the channel. These findings support the earlier results obtained byHartmann andLazarus. It is also shown that the treatment, though elementary in nature, is quite rigorous and does not need correction for the electromagnetic shielding effect.