Numerical Analysis of Newtonian Fluids in Channel Flows using Semi-Implicit Time Stepping Taylor-Galerkin/Pressure Method

Abstract

Taylor-Galerkin/Pressure-Correction primitive variable finite element algorithm is used to simulate Newtonian fluids in channels under diverse flow conditions. The purpose of this study is to investigate the algorithm's ability to accurately predict steady and complex flows, including bifurcations that may result as flow direction and stream rate change. For together equal and unequal stream rates, the study examines the impact of inertia on flow structure and pressure. Vortex intensity increases as Reynolds number increases, while unidirectional flow is promoted, and vortex intensity decreases as flow rate decreases. The intensity of vortex growth recirculation and pressure differences caused by changes in flow rates and directions were also measured during the study. This study aims to provide insight into Newtonian fluid behavior in a channel under varying flow conditions and demonstrate the effectiveness of the Taylor-Galerkin/Pressure-Correction finite element algorithm.