Physiological-type flow in a circular pipe in the presence of a transverse magnetic field

Abstract

A physiological-type flow in a straight circular tube in the presence of a uniform transverse magnetic field is investigated. The pressure gradient is mathematically modelled by a Fourier series of which the second partial sum resembles very closely with the observed form of pressure gradient. The governing equations are solved exactly by using the method of Laplace transforms. It is found that the effect of a magnetic field is to reduce the magnitude of velocity near the central region of the pipe. The coefficients of amplitude and phase lag of the mean velocity are also reduced in the presence of a magnetic field.