Escoamento de fluido em dutos de seção arbitrária utilizando o método integral baseado em Galerkin. Estudo de caso: óleo pesado.

Abstract

This work presents ananalytical/numerical study of the laminar flow of fluid through straight ducts of arbitrary cross sections,obtaining results for fluiddynamics parameters of interest,such as: Fanning attrition factor, Reynolds number ranges,as well the values for the shear stress and pressure gradient. In each duct is chosen the best parameterization for the curves that represent the geometry of the cross section and from them it is find a set of base functions that the are used to present the analytical solution of the linear momentum and energy equation using the Galerkin-based integral method. For the numerical simulation the Maple 17 software is used, which allows to present solutions for the velocity and temperature profile, mean velocity, mean temperature and numerical approximations for the Poiseuille and Nusselt average and local numbers, for each number of chosen base functions.The results are performed for three types of heavy oils with relative densities and API of 0,9648 and 14,6o API and temperature dependent viscosities ranging from 1715 -13000 cP.