Determinação do fluxo de calor em uma região plana com condições de contorno mistas, utilizando o método de crank-nicolson

Abstract

The present work seeks to determine the temperature field in an environment that has mixed boundary conditions and is used for industrial painting. The objective was to adapt a mathematical model on the distribution of heat in a given environment, in order to stipulate the temperature at internal points and at the borders, isolated and non-isolated, in addition to calculating the energy potential of heat generators, together with its speed and temperature and show that mathematics is important and is present in that environment. To achieve this, numerical simulations were developed based on the model defined for solving the problem. The solution to the heat transfer problem was approximated, using the implicit Crank-Nicolson method, a scheme in central finite differences to approximate the spatial derivatives and advanced differences for the temporal derivative. Finally, it was observed how the heat flow works in the environment where the painting process occurs.