Motion of Williamson Fluid over an Upper Horizontal Surface of a Paraboloid of Revolution due to Partial Slip and Buoyancy: Boundary Layer Analysis

Abstract

In this article, the motion of a non-Newtonian visco-inelastic fluid over an object that is neither a cone/wedge nor horizontal/vertical is presented. It is assumed that partial slip and buoyancy induces the flow of Williamson fluid over this kind of object herein referred to as an upper horizontal surface of a paraboloid of revolution. Considering the relationship between the thicknesses of the object and velocity index; the relevance of partial slip at the leading edge is significant and illustrated in this article. The governing equation which models the flow is non-dimensionalized and parameterized. The corresponding dimensionless equations are solved numerically using shooting technique along with fourth order Runge-Kutta integration scheme. Due to the presence of partial slip and thermal jump, increase in horizontal velocity at the wall is ascertained. The decrease in local heat transfer rate is ascertained within large interval next to the surface of a paraboloid of revolution in the absence of partial slip and thermal jump. A significant decrease in temperature distribution near the surface of an upper horizontal surface of a paraboloid of revolution is guaranteed with an increase in thermal buoyancy parameter in the presence of thermal jump.