The paper presents a new numerical solution as a method for the thermodynamic cycle of a thermoacoustic engine estimation. A mathematical solution for calculating the gas averaged velocity was developed. The proposed method uses acoustic impedance of the engine's thermal core and the dynamic pressure distribution and enables to calculate gas averaged velocity and prower output. The results of power output and thermal efficiency obtained from the numerical solution and experiments performed for the tested traveling-wave engine and presented in this paper. Relative deviation between theoretical and experimental values of thermal efficiency was 10.7%. This study provides a useful approach for the calculation of the produced power of thermoacoustic engines and can be useful in designing of cycle where the power maximization is crucial.

本文提出了一种新的数值解作为热声发动机热力循环估计的方法。开发了一种用于计算气体平均速度的数学解决方案。该方法利用发动机热核心的声阻抗和动态压力分布，能够计算气体平均速度和功率输出。功率输出和热效率的结果是从数值求解和对测试的行波发动机进行的实验中获得的，并在本文中进行了介绍。热效率理论值与实验值的相对偏差为10.7%。这项研究为计算热声发动机产生的功率提供了一种有用的方法，并可用于设计功率最大化至关重要的循环。