ABSTRACT
In this chapter we derive mathematical description of a deforming volume of matter in Eulerian or spatial description using conservation and balance laws. In general, all processes can be classified into two categories: those that exhibit thermodynamic equilibrium and those in which there is lack of thermodynamic equilibrium, called non-equilibrium thermodynamic processes. Those processes in which the time scale of change in the process is much larger than the time scale of thermodynamic equilibrium are classified as thermodynamic equilibrium processes. On the other hand, if the time scale of change in the process is much smaller than the time scale of thermodynamic equilibrium, then the process is classified as non-equilibrium thermodynamic process. The development of the mathematical models for processes that exhibit thermodynamic equilibrium is obviously an important area of study.
