Network model approach for calculating oscillating frequency of thermoacoustic prime mover

Tu, Qiu; Li, Qing; Wu, Feng; Guo, Fang

doi:10.1016/s0011-2275(03)00090-0

Cited by 26 publications

(6 citation statements)

References 10 publications

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“…There is a growing body of literature that recognizes the importance of the onset behavior of a standing-wave thermoacoustic engine. Tu et al (2003) used the network theory to calculate the oscillation frequency of thermoacoustic system, and the theoretical results were in good agreement with those observed in experiments. Sugimoto and Yoshida (2007) and Sugimoto and Minamigawa (2019) established the theory of thermoacoustic oscillation in the closed tubes and derived the frequency equation from the boundary conditions at both ends of the tube.…”

Section: Introductionsupporting

confidence: 62%

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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Section: Introductionsupporting

confidence: 62%

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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“…The pressures between two ends of regenerator are measured by two pressure sensors. The acoustic power flow entering the regenerator is determined by reference [9] and [10]. The stacked screen is made up of #200 wire meshes (Table 1), its porosity is 0.672, and the temperature difference between the two ends of regenerator is 226K (the whole experimental range is 220K~400K), and the oscillating frequency dependence can be found in Reference [9].…”

Section: Experimental Apparatusmentioning

confidence: 99%

An Identified Study on the Active Network of a Thermoacoustic Regenerator

Ding¹,

Wu²,

Zhang³

et al. 2009

ENG

Self Cite

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An active thermo-acoustic network model of regenerator which is a key component to accomplish the con-version between thermal-and acoustic power in thermo-acoustic system has been established in this paper. The experiment was carried out to quantify the network. A method called least square is employed in order to identify the H matrix describing the system. The results obtained here show that the active thermo-acoustic network can reliably depict the characteristics of a thermo-acoustic system

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“…To calculate the frequency of oscillations, analytically, Tu et al [5] proposed a network method based on the principle of the impedance matching at components interfaces. The method is straightforward, but leads to a complex frequency value which has no solid physical background.…”

Section: Introductionmentioning

confidence: 99%

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

Boroujerdi

Ziabasharhagh

2016

International Journal of Heat and Mass Transfer

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Network model approach for calculating oscillating frequency of thermoacoustic prime mover

Cited by 26 publications

References 10 publications

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

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

An Identified Study on the Active Network of a Thermoacoustic Regenerator

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

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