This quantity's namesake equation can be stated as
This quantity's namesake equation can be stated as "partial derivative of u with respect to time equals alpha times Laplacian of u." For a system in which this quantity is zero, pressure times volume to a certain index is constant. The partial of this quantity with respect to entropy equals temperature. Its flux is proportional to the temperature gradient according to Fourier's Law for one method of its transfer.  The change in internal energy equals this quantity minus work. In an adiabatic process, this quantity is kept constant. It is transferred by convection, conduction, and radiation. For 10 points, name this form of thermal energy.
This quantity's namesake equation can be stated as "partial derivative of u with respect to time equals alpha times Laplacian of u."
heat [prompt on "thermal energy"; do not accept "temperature"] 