Two-Phase Mixed Convection Flow of Dusty Williamson Fluid with Aligned Magnetic Field over a Vertical Stretching Sheet

Abstract

The mixed convection flow of dusty Williamson fluid over a vertical stretching sheet with the influence of aligned magnetic field is investigated. The mathematical model on two-phase flows of dust particles embedded in Wil-liamson fluid has been considered under Newtonian heating boundary condition by initially applying the similarity transformation to its governing equations. The transformed ordinary differential equations are solved numerically using Runge-Kutta Fehlberg (RKF45) method. Several pertinent parameters such as aligned magnetic field, Williamson parameter, mixed convection parameter, fluid particle interaction parameter, Prandtl number and conjugate parameter on the flow and heat transfer are visualized in graphical form. The results revealed that the fluid particle interaction parameter influencing the fluid velocity which resulted to decrease the fluid motion. The two-phase fluid flow model presented herein can be transformed into classical problem of single phase fluid flow under the condition of the fluid particle interaction parameter is neglected. Therefore, the present mathematical model can be offered as the generalized model of complex fluid with suspended particles