The Effect of Slip Boundary Conditions on The Newtonian Die-Swell Flow

Abstract

The effect of the slip boundary condition on the Newtonian die-swell free surface issue is the main objective of this study. The major aspect of this article is the determination of the free surface position using the free surface location methodology under the slip boundary condition. A Taylor Galerkin/pressure-correction (TG/PC) finite element method is used to solve this issue numerically. Furthermore, the system of equations that governs such a problem includes a time-dependent momentum equation and a continuity equation for mass conservation. These equations are shown here in an axisymmetric frame with Newtonian flow. The free-surface location is calculated using the Phan-Thien (dh/dt) approach in conjunction with slip boundary impact. This work focuses on the effect of slip boundary condition on swelling ratio for Newtonian representation. The current findings reveal that the slip boundary condition has a considerable impact on the swelling ratio of the fluid, causing a decrease in the fluid swell. Furthermore, the behaviors of solution components are presented.