Cálculo da condutividade térmica em um problema de condução do calor

Abstract

This end-of-study thesis aims to demonstrate the development of a theoretical and experimental method designed to calculate the thermal conductivity of tightly packed wooden planks. In furtherance of this objective, two experiments were conducted at the Mathematics education laboratories at UFFS / Chapecó (LEM). Both experiments measured temperature through an electronic data acquisition system (EDAS). Considering issues related to the determination of diffusivity and thermal conductivity, both experiments were modeled on the one-dimensional heat equation, under conditions of various barriers of the first kind. First, the term heat source of the differential equation was considered null, and secondly it was considered active and located in the center of the board formed by the tight wooden planks. Diffusivity and thermal conductivity were obtained by solving the direct problems numerically, using the finite difference method, the implicit interpolation scheme and inverse, through the method of Procura em Rede. The solutions were found by using special computer programs developed by the Scilab program. The value of thermal diffusivity, obtained initially, was used to determine the term source of heat in the inverse problem. Based on experimental data of different operating regimes of the heat source (electrical resistance), we developed a function in order to calculate the power of this source. Using these data, it was possible to calculate the thermal conductivity of the boards, the value of which has been shown to be in the same order of magnitude of the conductivity of other woods available in the literature