Numerical Analysis of Inertia Effects on Pressure and Flow Patterns in Unidirectional and Reversed Newtonian Fluid Flows within a Channel

Abstract

Fluid flows in channel systems are prevalent in many industrial and engineering applications. Flow rates, Reynolds numbers, and inertia significantly impact the dynamics of fluid flows in channel systems. However, analyzing these factors' effects on fluid flows is challenging. This study investigates the impact of flow rates, Reynolds numbers, and inertia on fluid flows within a channel system filled with non-porous media using Taylor-Galerkin/Pressure-Correction Scheme. Various flow conditions, including equal and unequal flow rates, reversed flow, and unidirectional flow, are analyzed to determine the effects on pressure differences and streamline patterns by numerical simulation. The results demonstrate the crucial role of inertia on vortex development, pressure differences, and the formation of eddies in different regions of the channel. The study reveals that pressure differences increase linearly with increasing Reynolds number in unidirectional flow scenarios and that unequal flow rates can significantly alter flow behavior. The study's findings provide insight into the complex interplay between flow rates, inertia, and pressure variations in fluid flows within a channel system.