Lecture 2: Thermodynamics of gases and the energy equation.

The energy equation from first principles. Thermodynamic identities. The perfect gas and the polytropic gas. Adiabatic (isentropic) and homentropic flow. Various general forms of the equation of conservation of energy. Bernoulli's theorem sand Crocco's relation for steady flows. Klevin's
theorem and entropy. Acoustics.

Suggested reading:

• Batchelor 151-167.
• Courant and Friedrichs 1-10.
• L & L 251-254