Determinação do fluxo de calor através do problema inverso

Abstract

Mathematical modeling of the heat transfer in solids has proven to be a technical resource that allows estimating parameters and simulating system boundary conditions at reduced cost. The objective of the present work is to estimate the heat flux and temperature at the right end of metal bars. The problem was modeled with the one-dimensional partial differential equation of heat, considering the thermal diffusivity of the material and the known left extremity temperature. Temperature measurements were performed with the aid of an Electronic Data Acquisition System (SAED) at the extremities and at three internal points. The heat flux was obtained by solving the inverse problem through the Network Search Method, based on the left end temperature measurements and the three internal points. Right extremity temperature measurements were used for model verification only. Two hypotheses were considered to estimate the heat flux at the x = L end: constant flux and variable flux (exponential model) as a function of time. It can be concluded that the exponential model does not add significantly higher precision than the constant flow model.