Bidimensional simulation of the heat equation

Abstract

The heat conduction in surfaces in transient state, is one of the problems of analysis commonest in the study of the diverse associated physical phenomena to heat transference in industrial processes, such as the presents in the chemical, metallurgical industry, etc. It is that's why arises the necessity to develop to a simulator or computacional tool that is able to show this process, under diverse conditions, for its respective analysis in transient state and application in surfaces of different materials. For the development of the simulator implemented in Matlab, the equations were considered hyperbolic differentials of second order, which governs the behavior of the heat transference in the bidimensional surface and the method by finite differences of seco nd order with formulation was used specifies for the obtaining of the solution of the derived equation differential in partial. The obtained result allows to visualize through a graphical interface the heat conduction in a surface in two dimensions, being used different types from materials, with different dimensions and under different thermal conditions it initiates to them. As conclusion were managed to develop a program that allows to analyze the heat conduction in bidimensional surfaces, being based on criteria that guarantee the stability and the trustworthiness in the simulation.