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

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Problem 1: Part 2: Energy equation[edit]

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