Estudo fluidodinâmico em regime laminar de escoamentos em uma região anular cilíndrica com movimento angular

Abstract

Within the scenario of technological expansion, new possibilities for dealings generated with computational advances, the study of particular cases of physical phenomena has become increasingly viable. The Fluid Mechanics area is one of the areas that most needs studies to understand these phenomena, due to the need to didactically analyze and predict the consequences and causes of physical behavior between fluid and structures. Thus, the present work presented a Computational Fluid Dynamics (CFD) analysis of a particular case of laminar flow, which is confined, with angular movement, filled with an isothermal and incompressible fluid in an annular cylindrical region. Four case studies were carried out with the variation of angular velocities applied to the cylinder walls. The first case dealt with the external wall rotating and the internal stationary, the second with the external wall stationary and the internal rotating, the third of the walls rotating in the same direction and the fourth of the walls rotating in opposite directions. For the analysis of the case, a comparison of the analytical solution, found by the mass and momentum conservation equations, with the numerical solution, obtained using a Fluent software, was made. The analytical solution applied the boundary conditions imposed on the walls, and it was then possible to find the solutions that represented the velocity profile within the annular region and compare with the numerical solutions. In this sense, the main study of this work was focused on the development of the method used to represent the flow within the annular cylindrical region, consisting of steps of geometry construction, mesh filling, insertion of boundary conditions and the simulation itself. The work presented satisfactory results found by simulating the cases. In this sense, the use of a mesh that generated little computational effort made the velocity profile very similar to the analytical profile, with deviations of less than two percent. Thus, the main gain obtained with this work is due to the use of Fluent's graphic tools to help represent solutions from a didactic point of those used in graduation.