• ANALYSIS OF CONVECTIVE DIFFUSION IN A PULSATILE FLOW OF A NON-NEWTONIAN VISCO ELASTIC FLUIDS IN A CHANNEL

Abstract

The paper presents an exact analysis of passive contaminant molecules released in an oscillatory flow of a non-Newtonian visco-elastic fluid between two parallel plates under the influence of periodic pressure gradient, using the Aris-Barton method of moments which is valid for all time after the injection of the solute, the dispersion coefficients of a contaminant clouds are obtained separately for three different cases, plane poiseuille flow, periodic and for comparison the combined effect of steady and periodic currents. Here it is shown how the injected material disperses due to the shear effect caused by the combined effects of flow and lateral diffusion about its mean position. The analysis leads to the interesting results that the dispersion coefficients consist of a steady part and a fluctuating part due to the pulsatility of the flow.