Numerical investigations of unsteady solid-liquid Non-Newtonian flows over stretching surfaces

Abstract

This study is for the understanding of the time dependent solid-liquid flows of non-Newtonian fluids. The solid particles are supposed to be micro or nano sized. Dust particles effect the flow of fluid according to concentration. Fluid-particle interaction is also important for the flow of matter and heat as well. Impact of dust particles is valuable on viscous flows in petroleum industry specifically in the purification of crude oil. Also useful in medical equipment and engineering industry as pure liquids may not give the required results such as thermal conductivity can be enhanced by in cooperating nano and micro particles. In this research, the study the unsteady dusty flow is done by considering different types of base fluids in two as well as in three dimensions. The equations for both fluid and particle phase are modelled separately using conservation of mass, momentum and heat transfer. These equations are then transformed into the set of nonlinear ordinary differential equations by using the similarity transformations. The numerical solutions of transformed equations are obtained via shooting mechanism with fifth order R-K Fehlberg technique, bvp4c package in MATLAB. In order to check the accuracy of the solution methods, comparison is made with the previous results. Also, different observations are made using graph and tables for all the problems under consideration