Formulações integral e diferencial aplicadas à análise de escoamentos sobre rotores eólicos

Abstract

This work presents the coupling between two different formulations applied to flow simulation and analysis of wind rotors, integral and differential formulations. First, for the integral formulation is defined a control volume where the variables problem are defined, as well as the necessaries working hypothesis, then a proposed mathematical modeling is defined. Simulations through NACA airfoils, using Computational Dynamic Fluids, are performed in order to evaluate drag and lift coefficients, to be used in the integral formulation. The Navier-Stokes equations are solved in house and the Smagorinsky turbulence model with Van Driest damping function is retained. The computational code is implemented with structured cartesian mesh, where the airfoil is modeled using the Immersed Boundary Methodology. The results of simulation through a NACA0012 airfoil are shown for several attack angles and Re = 10000. Results of energetic efficiency are presented for a horizontal axis wind turbine using the integral formulation, where the coefficients are given by differential formulations.