• DISPERSION OF A SOLUTE IN A FLUID FLOW THROUGH A PIPE SUBJECT TO AN EXTERNAL ACCELERATION

Abstract

In this paper the dispersion of a solute in an oscillatory flow of a Newtonian fluid in circular pipe in the presence of a uniform transverse magnetic field is studied. Periodic body acceleration is also applied. Exact solution of the equation governing the flow is obtained using the finite Hankel and Laplace transform technique. Generalized dispersion method is employed to solve the diffusion equation and obtained an exact solution. It is observed that the dispersion coefficient assumes positive and negative values as the solute moves forward and backward due to the oscillating nature of the flow. The effect of magnetic field on dispersion coefficient is found to decrease the dispersion coefficient. The presence of body acceleration is observed to enhance dispersion coefficient. The effects of magnetic field and body acceleration on mean concentration are also discussed.