I talked with my professor today and it turns out that I already finished the problem! Finding \dot{\psi}, plugging it in, and "solving" for the thermodynamic restrictions was the whole thing. Please consider this thread solved.
Homework Statement
Determine the thermodynamic restrictions for a rigid heat conductor defined by the constitutive equations:
\DeclareMathOperator{\grad}{grad}\psi = \hat{\psi}\left(\theta,\grad \theta, \grad \grad \theta\right) \\
\eta = \hat{\eta}\left(\theta,\grad \theta, \grad \grad...
I'm a third year chemical engineering major and this is my first real thermodynamics class, so I'm not entirely sure what I'm doing. Any help is greatly appreciated!
Homework Statement
A rigid horizontal cylinder contains a freely moving piston. Initially, it divides the cylinder into equal...