Simulação computacional do processo de transferência de calor em regime permanente, com condições de contorno não lineares, a partir de uma sequência de problemas lineares

Abstract

The purpose of this work is to perform a computer simulation of a new method for solving engineering problems characterized by partial differential equations with non-linear boundary condition, considering a non-convex body. The highlight of the new method is the fact that it allows the use of very simple techniques for computer simulation, such as, for example, the finite difference technique, used in this thesis. The problem addressed to achieve the aforementioned purpose was the heat transfer, in steady state, in a black, rigid, opaque, non-convex body that has internal generation energy. This problem is mathematically characterized by an elliptic Poisson partial differential equation, with an inherently non-linear boundary condition. The results of computer simulations show that the new method is effective and physically consistent.