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| 一维非稳定流中的声传播 | |
| 引用本文： | 王佐民, 赵松龄. 一维非稳定流中的声传播[J]. 声学学报, 1989, 14(4): 279-281. DOI: 10.15949/j.cnki.0371-0025.1989.04.005 |
| 作者姓名： | 王佐民 赵松龄 |
| 作者单位： | 同济大学声学研究所(王佐民)，同济大学声学研究所(赵松龄) |
| 摘 要： | 本文导出一维非稳定流中的声传播方程。对于随时间t缓慢变化的低马赫数流场,这是一个包含马赫数M及其变化率∂M/∂t的二阶线性双曲型偏微分方程。相应的解析解也已求得。 分析表明,当由简谐声源所发射的声波在一维非稳定流中传播时,对于某一确定位置,其声压幅度除随时间周期变化外,还受到M和∂M/∂t的影响。这种影响随着传播距离的增加而增加。当传播距离足够大时,这种依赖关系将趋于某个极值。从频域角度来看,由于流的不稳定性,单频声波在传播过程中将渐变成为宽带声。呈现明显的非线性效应。 |
| 收稿时间： | 1987-11-25 |
| 修稿时间： | 1988-06-05 |
SOUND PROPAGATION IN ONE-DIMENSIONAL UNSTEADY FLOW |
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| WANG Zuomin, ZHAO Songling. SOUND PROPAGATION IN ONE-DIMENSIONAL UNSTEADY FLOW[J]. ACTA ACUSTICA, 1989, 14(4): 279-281. DOI: 10.15949/j.cnki.0371-0025.1989.04.005 | |
| Authors: | WANG Zuomin ZHAO Songling |
| Abstract: | The wave equation in one-dimensional unsteady flow was derived, basing on momentum equation, continuity equation and energy equation etc.. It is a second-order linear hyperbolic partial differential equation with Mach number M and ∂M/∂t terms. The solution of this equation has been obtained. Some results were obtained by the present analyses. When a harmonic wave propagates in one-dimensional unsteady flow, the wave amplitude at any x-position will be related with Mach number M and ∂M/∂t. This relationship will tend towards a limit, when propagation distance is long enough. It is also a nonlinear phenomenon in frequency domain obviously. The harmonic wave will become a wide band wave when it propagates in the unsteady flow. |
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