Weakly nonlinear waves radiated by pulsations of a cylinder
スポンサーリンク
概要
- 論文の詳細を見る
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.
- American Institute of Physics (The Acoustical Society of America)の論文
American Institute of Physics (The Acoustical Society of America) | 論文
- The mean pressure and density in a strongly nonlinear plane acoustic wave
- Turbulent acoustic streaming excited by resonant gas oscillation with periodic shock waves in a closed tube
- Weakly nonlinear waves radiated by pulsations of a cylinder
- Weakly nonlinear waves generated by vibration of a spherical body