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Weakly nonlinear waves radiated by pulsations of a cylinder

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タイトル: Weakly nonlinear waves radiated by pulsations of a cylinder
著者: Yano, Takeru 著作を一覧する
Inoue, Yoshinori 著作を一覧する
発行日: 1993年 1月
出版者: American Institute of Physics (The Acoustical Society of America)
誌名: The Journal of the Acoustical Society of America
巻: 93
号: 1
開始ページ: 132
終了ページ: 141
出版社 DOI: 10.1121/1.405650
抄録: A cylindrical sound wave is radiated into an unbounded ideal gas by an infinite circular cylinder that executes a sinusoidal pulsation uniformly along its axis with small amplitude and moderate frequency for only one period. In the leading order of approximation, the weakly nonlinear propagation of the wave is studied for the case of sufficiently large acoustic Reynolds number up to the stage that its profile develops into a cylindrical N wave with a tail. In the near field, solving the linear wave equation gives the near-field solution, which has a tail following the body part of the wave. The tail of the velocity profile decreases asymptotically in proportion to t*-⁴ as t* → ∞ at a fixed point in the near field and to t*-5/2 at a fixed point in the far field (t* is the time from the beginning of the pulsation). The tail vanishes in a high frequency limit with an acoustic Mach number being fixed. In the far field, an exact solution, which matches with the near-field solution, is obtained for a far-field equation by the method of strained coordinates. The evolution of the two shocks and the tail are then examined by making use of the equal-areas rule. At large distances from the cylinder, the whole profile of the wave approaches to an N wave with a long tail.
Rights: Copyright 1993, Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.
資料タイプ: article
URI: http://hdl.handle.net/2115/14915
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 矢野 猛

 

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