首页> 外文期刊>Acustica >The decay of plane wave pulses with complex structure in a nonlinear dissipative medium
【24h】

The decay of plane wave pulses with complex structure in a nonlinear dissipative medium

机译:非线性耗散介质中结构复杂的平面波脉冲的衰减

获取原文
获取原文并翻译 | 示例
           

摘要

Nonlinear plane acoustic waves propagating through a fluid are studied using Burgers' equation with finite viscosity. The evolution of a simple N-pulse with regular and random initial amplitude and of pulses with monochromatic and noise carrier is considered. In the latter case the initial pulses are characterized by two length scales. The length scale of the modulation function is much greater than the period or the length scale of the carrier. With increasing time the initial pulses are deformed and shocks appear. The finite viscosity leads to a finite shock width, which does not depend on the fine structure of the initial pulse and is fully determined by the shock position in the zero viscosity limit. The other effect of nonzero viscosity is the shift of the shock position from the position at zero viscosity. This shift, as well as the linear time, at which the nonlinear stage of evolution changes to the linear stage, depends on the fine structure of the initial pulse. It is also shown that the nonlinearity of the medium leads to generation of a nonzero mean field from an initial random field with zero mean value. The relative fluctuation of the field is investigated both at the nonlinear and the linear stage. [References: 31]
机译:使用具有有限粘度的Burgers方程研究在流体中传播的非线性平面声波。考虑了具有规则和随机初始振幅的简单N脉冲以及具有单色和噪声载波的脉冲的演化。在后一种情况下,初始脉冲的特征是两个长度刻度。调制函数的长度尺度远大于载波的周期或长度尺度。随着时间的增加,初始脉冲会变形并出现电击。有限粘度导致有限的冲击宽度,该宽度不取决于初始脉冲的精细结构,并且完全由零粘度极限中的冲击位置确定。非零粘度的另一个影响是冲击位置从零粘度位置开始的移动。这种变化以及线性时间(演化的非线性阶段变为线性阶段)取决于初始脉冲的精细结构。还表明,介质的非线性导致从零均值的初始随机场生成非零均值场。在非线性和线性阶段都研究了磁场的相对波动。 [参考:31]

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号