Introdução ao estudo de escoamentos de fluidos sob uma abordagem computacional

Abstract

The study of fluid dynamics is relevant to several areas of knowledge. Mathematically, this area involving the work with systems of nonlinear differential equations, whose solutions cannot be easily generalized. Therefore, several numerical methods have been developed and improved to find solutions for these systems. This work aims to understand the mathematical model that describes the velocity profile of the two-dimensional flow around a cylinder. We seek to compare the analytical and numerical solutions for the problem in question, as well as analyze the implications of the hypotheses necessary to obtain these solutions. The numerical solution developed in this study presented a good description of a flow situation around a cylinder, since it considers the viscous effects and, consequently, the vorticities, influencing the flow behavior, while the analytical solution tends to be smoother in the contour of the cylinder, since it considers only irrotational flows.