Equações diferenciais: uma aplicação ao escoamento de fluidos

Abstract

The present work presents an application of the differential equations to the flow of a fluid, in pipes of circular section. The study, initially, focused on the single-phase flow subjected to a variation of its viscosity due to a pressure. This problem presents complexities regarding the nature of the fluid and the type of the flow process. In the analysis of the flow and employed of the Technique of the Generalized Integral Transformation for direct solutions for the velocity and pressure fields. The moment equations are analytically manipulated to obtain the Poisson equation and flow pressure field supplies. For the fluid is used as momentum equations in cylindrical coordinates. The results of the solutions can be provided practical data as factors among others for sizing the pumping system.