ABSTRACT

The exchange of thermal energy between physical systems is referred to as heat transfer. The rate of heat transfer depends on factors such as the temperature of the system and the properties of the dominant medium through which the heat is transferred. The heat transfer equation of the distributed system results in a partial differential equation that describes the distribution of heat or variation of temperature in a specific region over time. Chapter 6 starts with an introduction to heat transfer by conduction, convection, and radiation. Equations of change for heat transfer in cartesian, cylindrical, and spherical coordinates are presented. Model equations for the temperature distribution in various regions of reactive and nonreactive systems were developed in various cases and examples. In some cases, exact solutions of the simplified equations were possible; in others, the equations are solved numerically using computational methods. In this chapter, Comsol Multiphysics 5.3a is used to solve the cases required numerical computation.