de Jong J A, Wijnant Y H, Wilcox D, de Boer A
Structural Dynamics and Acoustics, Faculty of Engineering Technology, University of Twente, Enschede, The Netherlands.
Chart Incorporated-Qdrive, 302 Tenth Street, Troy, New York 12180, USA.
J Acoust Soc Am. 2015 Sep;138(3):1241-52. doi: 10.1121/1.4928301.
When modeling thermoacoustic (TA) devices at high amplitude, nonlinear effects such as time-average mass flows, and the generation of higher harmonics can no longer be neglected. Thus far, modeling these effects in TA devices required a generally computationally costly time integration of the nonlinear governing equations. In this paper, a fast one-dimensional nonlinear model for TA devices is presented, which omits this costly time integration by directly solving the periodic steady state. The model is defined in the frequency domain, which eases the implementation of phase delays due to viscous resistance and thermoacoustic heat exchange. As a demonstration, the model is used to solve an experimental standing wave thermoacoustic engine. The obtained results agree with experimental results, as well as with results from a nonlinear time domain model from the literature. The low computational cost of this model opens the possibility to do optimization studies using a nonlinear TA model.
在对高振幅热声（TA）装置进行建模时，诸如时间平均质量流和高次谐波的产生等非线性效应再也不能被忽略。到目前为止，在TA装置中对这些效应进行建模需要对非线性控制方程进行通常计算成本很高的时间积分。本文提出了一种用于TA装置的快速一维非线性模型，该模型通过直接求解周期性稳态来省去这种成本高昂的时间积分。该模型在频域中定义，这便于实现由于粘性阻力和热声热交换引起的相位延迟。作为一个示例，该模型用于求解一个实验驻波热声发动机。所获得的结果与实验结果以及文献中一个非线性时域模型的结果一致。该模型的低计算成本为使用非线性TA模型进行优化研究提供了可能性。
