Numerical Simulations and Analysis of Viscous Incompressible Flow in Conduit with a Complex Transversal Section

Abstract

The paper presents simulations of a viscous incompressible flow which through conduits having a complex section. The finite element method was applied because of its adaptation for complex geometries. The solution of chosen system gives a distribution of flow velocity profile through the studied section, and from the velocity values, others parameters can be deduced such as: the maximal velocity, Reynolds number, the volume of considered flow, the friction force to exert on the wall, as well as the shear stress.The validation was made with a comparison between obtained solutions and results given by analytical solutions with reference to cases of a simple section such as the circular section.Developed code and analysis can be used, as helpful tool, in manytechnological and engineering applications related to construction and installation of conduits, and in particular when users are interested in modifications of conduits section.In this study, special attention has been given to effects of section form on the distribution of flow velocity profile, to have results and necessary data according to the geometry of the selected conduits which permit to determinate the performancesof desired system.