Modelación matemática y simulación de la ecuación diferencial de transferencia de calor de una aleta rectángular de área constante y longitud "L" con simulink

Abstract

Learn the basic principles of heat dissipation to be found in electric motors, heaters, computers, refrigerators, heat exchangers, etc., it is an area of study of the heat transfer, using fins or extended surfaces to comply with the process of transfer. The analysis of this phenomenal using the general equation of the heat transfer (which is mentioned in different books and manuals study rectangular fins in the heat transfer process) for rectangular extended surfaces of constant section and length “L” produces the following question ¿Is it possible modeling this equation in different partial equations to get a mathematic model for the analysis, evaluation and programming of a block system to be computerized in SIMULINK and MATLAB? The study shall use finite differences based on differential equation of heat transfer for rectangular fins to show how the program of MATLAB works internally in its spread sheet. Also these finite differences will be used to get a system equations that will help in the theoretical analysis of heat transfer in extended surfaces and after for the respective comparison of results and curves. It is necessary indicating that the investigation is one-dimensional and takes into consideration a rectangular fin of constant section and length “L” applicable to any kind of material. The curves to be plotted and evaluated will be given by MATLAB and SIMULINK, and for a better performance these shall be shown using the command GUIDE of MATLAB.