Analytical determination of oscillating frequencies and onset temperatures of standing wave thermoacoustic heat engines

Boroujerdi, A.A.; Ziabasharhagh, Masoud

doi:10.1016/j.ijheatmasstransfer.2016.03.028

Cited by 15 publications

(5 citation statements)

References 24 publications

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“…Swift also pointed out that the optimal position of the stack is between the nodes of pressure and velocity. This conclusion is consistent with the findings in studies [157][158][159][160]. As to the geometry of the stack, it is found that the pin array configuration outperforms the parallel-plate or circular-pore ones [161][162][163][164], and the optimal pore size is when rh/δk is between 1.0 and 1.5 [165][166][167].…”

Section: Standing-wave Thermoacoustic Systemssupporting

confidence: 90%

Multi-physics coupling in thermoacoustic devices: A review

Chen

Tang

Mace

et al. 2021

Renewable and Sustainable Energy Reviews

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Section: Standing-wave Thermoacoustic Systemssupporting

confidence: 90%

Multi-physics coupling in thermoacoustic devices: A review

Chen

Tang

Mace

et al. 2021

Renewable and Sustainable Energy Reviews

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“…The structure and environmental parameters of the thermoacoustic engine studied in this paper are shown in Table 1. The physical parameters of the four working fluids studied in this paper were used by Boroujerdi and Ziabasharhagh (2016). This set of parameters is still adopted in the subsequent simulation discussions.…”

Section: Model Validationmentioning

confidence: 99%

“…Sun et al (2014) used the thermodynamic analysis to establish a simplified physical model of a standing-wave thermoacoustic engine in the time domain and used the model to calculate the sound pressure amplitude and spectral characteristics during the oscillation process. Boroujerdi and Ziabasharhagh (2016) used the wave propagation method to determine the oscillation frequency and onset temperature of a standing-wave TAE as eigenvalues of the fluctuation problem. In their study, the physical meaning of the wave propagation method was clear, but its theoretical derivations were slightly complicated, and the solution was time-consuming due to the iterations of large matrices.…”

Section: Introductionmentioning

confidence: 99%

A unified approach for dynamic characteristic analysis of a standing-wave thermoacoustic engine with general impedance ends

Guo

Liu

2022

Journal of Vibration and Control

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As promising devices for energy conversion, thermoacoustic engines (TAEs) are attracting more and more research attention with regard to renewable thermal energy application. For a TAE, the oscillation frequency is a critical parameter in its design and operation, which can only be estimated currently through an often tedious process using a shooting method or a numerical iteration method, and an analysis model with classical boundary conditions. In this context, this study seeks to establish a unified model for dynamic analysis of a one-dimensional (1D) standing-wave TAE with general impedance ends. First, the differential equations governing the thermoacoustic behavior of the TAE and its impedance boundary conditions are simultaneously solved using the Galerkin method and an improved Fourier series expansion method. Then, the characteristic distributions of oscillation frequency, sound pressure, and volume flow rate are obtained by solving a standard eigenvalue problem. Finally, the effects of engine length, stack length and position, and impedance ends on the dynamic behavior of the TAE’s thermoacoustic system are investigated and analyzed. The results show that engine length has a significantly negative correlation with the modal frequencies in different working gases, and stack position and stack length have a slight effect on the oscillation frequency of the TAE. The arbitrary variations in impedance boundary conditions can be simulated from the open end to the rigid wall and all intermediate cases. The proposed model can efficiently predict changes in dynamic parameters of 1-D TAEs with impedance ends in a unified pattern and can serve as a reliable analysis tool for further research on TAEs coupled with various energy harvesters.

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“…Thereafter, the effects of stack spacing, charge pressure, and resonator length on onset temperature were numerically investigated and compared with experimental results to demonstrate a good agreement. More recently, Boroujerdi et al [17] had analytically investigated the influences of stack and thermoacoustic heat engine dimensions as well as charging pressure on both onset temperature and oscillating frequency under different working gases. Furthermore, Meir et al [18] had experimentally and analytically demonstrated that mass transfer can significantly lower the temperature gradient required to achieve acoustic onset in phase-change thermoacoustic heat engines.…”

Section: Introductionmentioning

confidence: 99%