Séries de Fourier e aplicações.

Abstract

In this work we present a study on Fourier series and some of its applications in conducting sensible heat in solid materials. Initially, we do a review bibliographic on Fourier series, highlighting some definitions, propositions and theorems important; as well as some examples of sectionally continuous and periodic real functions with their respective Fourier series. We'll cover some transfer issues below. of heat: for this we present some important definitions in calorimetry and thermodynamics and then we deduce and solve the mathematical model of heat conduction along a bar with homogeneous boundary conditions. We solve a case of the heat equation with inhomogeneous boundary conditions. We describe the heat equation for a general case in JR.n and its occurrence of heat transfer in steady state (steady). we define the Dirichlet problem for any region in JR.2 and then we solve the same in a bounded rectangular region in JR.2 . We can say that this work synthesizes knowledge of the partial and ordinary differential equations present in models of great importance and application in processes where heat transfer occurs, such as heating parts and circuits and in choosing better insulators and thermal conductors in objects.