Resolução de problemas modelados pela lei do resfriamento de Newton

Abstract

This work presents results of a preliminary study referring to the Newton’s law of cooling model, initially developed in the Scientific Initiation Project, at the Federal Technological University of Paraná, Campus Toledo. At first, the study of first order differential equations was made, in particular, separable equations. In the sequence, the work focused on the theory related to Newton’s cooling law, both in the model and in its possible applications, for then, defining the case studies, carrying out the experiments, when possible, for later comparison of results, using the analytical solution, using the variable separation method. In this sense, the objective of this work is to study, understand and apply Newton’s law of cooling in real problems, allowing the comparison between the analytical solution and the experimental data. In view of the results obtained, the importance of ordinary differential equations and their wide applicability in various phenomena that surround us is remarkable.