Vol 6 - Landau+Lifschitz - Fluid Mechanics · Problem 2

IDEAL FLUIDS

Physics — Landau & Lifshitz · conservation-of-circulation-non-isentropic

Problem

Show that, in flow which is not isentropic, any moving particle carries with it a constant value of the product

(1/\rho)\,\mathbf{grad}\, s \cdot \mathbf{curl}\, \mathbf{v}

(H. Ertel 1942).