MATLAB and heat transfer in solid state

Abstract

The article deals with the problems of heat transfer through solids. The calculation of the thermal resistance of the system consisting of several layers of solid materials having different thermal resistances on the intensive calculations and the time. In the first part we law of calorimetry equation. On this basis, we can build a theory of one-dimensional and multi-dimensional differential equation of thermal diffusion. The derived equations are then used to simulate the heat transfer in building applications. We had to adjust the thermal diffusion equation in such a shape that it can be addressed by using PDE toolbox.