Multilayer Flows of Non-Newtonian Fluids Through a Cylindrical Pipe

Abstract

The concentric n-layer flow for PTT fluid model and two-layer flow for Oldroyed six constant model through cylindrical pipe are considered. Such flows have great significance both theoretical and applications in the chemical processing industries, polymer extraction, mining industry, oil transportation etc and are also useful for biologists for biomedical fluid flow problems. The exact solutions of PTT fluid flow for velocity fields and volume flow rates are derived. Approximate analytical solutions of Oldroyed six constant fluid flow for velocity and volume flow are also presented. In PTT fluid flow problem, the effects of appropriate parameters on the velocity profiles are shown graphically for two-layer and multi layer flows. In Oldroyed six constant fluid flow problem the effect of model parameters on the velocity profiles are also shown graphically.