Aspects of a Magneto-fluid with Suspended Particles

A particle-fluid suspension model is applied to the problem of pulsatile flow between infinite parallel walls on which a sinusoidal travelling wave under the effect of a transverse magnetic field. A perturbation solution to the complete set of Navier-Stokes equations is found for the case in which the frequency of the travelling wave and that of the imposed pressure gradient are equal. The ratio of the travelling wave amplitude to channel width is assumed to be small. For this case a first-order steady flow is found to exist, as contrasted to a second-order effect in the absence of the imposed pressure gradient. The effect of the magnetic parameter and various parameters included in the problem are discussed numerically.