Linear and Nonlinear Resonant Oscillations of Inviscid Ideal Gas between Two Coaxial Cylinders.
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概要
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Resonant radial oscillations of an inviscid ideal gas between two coaxial infinite cylinders are studied, which are excited by sinusoidal pulsation of the outer cylinder. For the linear problem, the exact solution can readily be obtained, representing the standing wave and the resonant oscillations. The numerical result of the nonlinear problem shows that there are the periodical amplitude and phase modulations for the resonant wave. The wave amplitude reaches <I>O</I> (<I>M</I><SUP>1/3</SUP>), where <I>M</I> (<< 1) is the acoustic Mach number, and the period of the modulation varies proportionately with <I>M</I><SUP>-2/3</SUP>. The wave having the stronger nonlinearity has an asymmetric waveform with respect to the time axis. In the framework of the present analysis shock waves do not emanate.
- 社団法人 日本流体力学会の論文