自然科学版
陕西师范大学学报(自然科学版)
物理学
容器形状对液体内声波的影响
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王成会,林书玉*
(陕西师范大学 应用声学研究所, 陕西 西安 710062)
王成会,女,博士研究生,研究方向为超声过程.E-mail:wangld001@snnu.edu.cn.* 通讯作者:林书玉,男,教授,博士研究生导师.E-mail: sylin@snnu.edu.cn.
摘要:
在考虑液体介质的黏热性以及非线性的基础上,结合容器形状对液体传声特性的影响,推导并得到了包含容器形状因素在内的一维声传播方程,同时利用频域展开和数值分析方法,探讨了不同形状容器中介质内声场分布.设容器具有轴对称性,其形状有圆柱、锥状和指数形.数值计算结果表明,在同样的声激励条件下,容器形状影响介质内声压幅值大小和分布,而声源位于指数形容器大端时影响更为明显.不同形状的容器中液体内的声波均具有非线性驻波特征.
关键词:
容器形状; 声场分布; 非线性驻波
收稿日期:
2009-09-20
中图分类号:
O426.1
文献标识码:
A
文章编号:
1672-4291(2010)02-0029-06
基金项目:
国家自然科学基金资助项目(10674090)
Doi:
The influence of container's shape on the sound in liquid
WANG Cheng-hui, LIN Shu-yu*
(Applied Acoustics Institute, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)
Abstract:
The one-dimensional acoustic wave equation is obtained by taking the effects of nonlinearity, viscosity, thermal conductivity and container's shape into account. The distribution of sound field is researched in the liquid held in containers with different shape. The container is assumed to be of axisymmetric. The nonlinear spectral equations are integrated numerically. The results are presented for three geometries: a cylinder, a cone, and an exponential shape. In the same conditions of driving sound, the magnitude and distribution of pressure amplitudes depend on the container's shape and the situation is more distinct when the sound source is located at the big face of exponential container. The pressure distribution has the properties of nonlinear standing wave.
KeyWords:
shape of container; distribution of sound field; nonlinear standing wave