Vol 6 - Landau+Lifschitz - Fluid Mechanics · Problem 101.4

ONE-DIMENSIONAL GAS FLOW

Physics — Landau & Lifshitz · one-dimensional-travelling-waves

Problem

For a plane (sound) wave with small amplitude, determine the time-averaged values of quantities in the approximation quadratic in the amplitude. The wave is emitted by a piston moving in accordance with some law z=X(t)z = X(t), U=X′(t)U = X'(t), X(0)=0X(0) = 0, Xˉ=0\bar{X} = 0, Uˉ=0\bar{U} = 0.

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