Penelet G, Gusev V, Lotton P, Bruneau M
Laboratoire d'Acoustique de l'Université du Maine, UMR CNRS 6613, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):016625. doi: 10.1103/PhysRevE.72.016625. Epub 2005 Jul 28.
This paper gives a simplified analytical description of spontaneous generation and finite amplitude saturation of sound in annular thermoacoustic engines, and also provides comparison with experiments. The model includes the precise description of thermoacoustic amplification of sound (induced by interaction between an heterogeneously heated stack of solid plates and resonant gas oscillations), which accounts for the details of the temperature distribution in the whole thermoacoustic device (i.e., which does not only account for the mean temperature gradient along the stack). The saturation of the acoustic wave amplitude is described by taking into account both the reverse influence of high amplitude acoustic field on temperature field, and the dissipation of acoustic energy due to higher harmonics generation and minor losses (vortex generation). From the comparison between simulation results and experiments, it is demonstrated that the dynamical behavior observed in our experimental device is predominantly controlled by the effects of acoustic streaming and acoustically enhanced thermal conductivity tending not only to reduce the externally imposed temperature gradient along the stack, but also to change the shape of the temperature field.
本文给出了环形热声发动机中声音的自发产生和有限振幅饱和的简化分析描述，并与实验进行了比较。该模型包括对声音热声放大（由异质加热的固体板堆叠与共振气体振荡之间的相互作用引起）的精确描述，它考虑了整个热声装置中温度分布的细节（即不仅考虑沿堆叠的平均温度梯度）。通过考虑高振幅声场对温度场的反向影响以及由于高次谐波产生和微小损耗（涡旋产生）导致的声能耗散来描述声波振幅的饱和。从模拟结果与实验的比较中可以看出，在我们的实验装置中观察到的动力学行为主要由声流和声学增强热导率的效应控制，这些效应不仅倾向于减小沿堆叠外部施加的温度梯度，而且还会改变温度场的形状。
