Ma Lin, Weisman Catherine, Baltean-Carlès Diana, Delbende Ivan, Bauwens Luc
Université Pierre et Marie Curie UPMC Sorbonne Universités, UFR 919 - Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur, 91405 Orsay Cedex, France.
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta T2N 1N4, Canada.
J Acoust Soc Am. 2015 Aug;138(2):847-57. doi: 10.1121/1.4927092.
The influence of a resistive load on the starting performance of a standing-wave thermoacoustic engine is investigated numerically. The model used is based upon a low Mach number assumption; it couples the two-dimensional nonlinear flow and heat exchange within the thermoacoustic active cell with one-dimensional linear acoustics in the loaded resonator. For a given engine geometry, prescribed temperatures at the heat exchangers, prescribed mean pressure, and prescribed load, results from a simulation in the time domain include the evolution of the acoustic pressure in the active cell. That signal is then analyzed, extracting growth rate and frequency of the dominant modes. For a given load, the temperature difference between the two sides is then varied; the most unstable mode is identified and so is the corresponding critical temperature ratio between heater and cooler. Next, varying the load, a stability diagram is obtained, potentially with a predictive value. Results are compared with those derived from Rott's linear theory as well as with experimental results found in the literature.
数值研究了电阻性负载对驻波热声发动机启动性能的影响。所使用的模型基于低马赫数假设；它将热声有源单元内的二维非线性流动和热交换与负载谐振器中的一维线性声学耦合起来。对于给定的发动机几何形状、热交换器处规定的温度、规定的平均压力和规定的负载，时域模拟结果包括有源单元中声压的演变。然后对该信号进行分析，提取主导模式的增长率和频率。对于给定的负载，改变两侧的温差；确定最不稳定模式以及加热器和冷却器之间相应的临界温度比。接下来，改变负载，得到一个稳定性图，可能具有预测价值。将结果与从罗特线性理论得出的结果以及文献中的实验结果进行比较。
