Nonlinear finite elements/Homework11/Solutions/Problem 1/Part 2

Problem 1: Part 2: Energy equationEdit

For an adiabatic process, the rate of change of temperature can be written as

 

where   is the Taylor-Quinney coefficient,   is the density, and   is the specific heat. Express   in terms of   and  . This is the evolution law for  .

Plugging in the expression for  , we get