Mathematical model of physical process of heat transfer in liquid crystal

Abstract

The process of heat transfer by conduction is relevant in different context of engineering and sciences. An example of this situation is confirmed by the study of the thermal properties of liquid crystal sheets to measure the effects of heat transfer on metal surfaces. The aim of this work is to establish a mathematical model by numerical methods to determine the physical process of heat transfer in liquid crystal. For the data acquisition, an experiment that measures thermal properties on an aluminum plate was designed. We proceed to propose a mathematical model that uses the Laplace equation. Also, we proceed to calculate the solution of the equation by the finite difference method and then make a comparison with the analytical solution and the experimental data.