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Lumped parameter model for resonant frequency estimation of a thermoacoustic engine with gas-liquid coupling oscillation
TANG Ke * #,LEI Tian,LIN Xiaogang,JIN Tao,ZHANG Yu
Institute of Refrigeration and Cryogenics, Zhejiang University, Hangzhou 310027
*Correspondence author
#Submitted by
Subject:
Funding: the National Natural Science Foundation of China （No.No. 50806065）, the University Doctoral Subject Special Foundation of China （No.No. 200803351053）
Opened online: 1 March 2012
Accepted by: none
Citation: TANG Ke,LEI Tian,LIN Xiaogang.Lumped parameter model for resonant frequency estimation of a thermoacoustic engine with gas-liquid coupling oscillation[OL]. [ 1 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4467513
 
 
Gas-liquid coupling oscillation is a novel approach for reducing the resonant frequency and for elevating the pressure amplitude of a thermoacoustic engine. If a thermoacoustic engine is used to drive low-frequency pulse tube refrigerators, the frequency matching between the thermoacoustic engine and the refrigerator plays an important role. Based on an acoustic-electric analogy, a lumped parameter model is proposed to estimate the resonant frequency of a standing-wave thermoacoustic engine with gas-liquid coupling oscillation. Moreover, a simplified lumped parameter model is also developed to reduce the computation complexity. The resonant frequency dependence on the mean pressure, the gas space volume, and the water column length is computed and analyzed. The impact of different working gases on the resonant frequency is also discussed. The effectiveness of the models is validated by comparing the computed results with the experimental data of the gas-liquid coupling oscillation system. An increase in mean working pressure can lead to a rise in resonant frequency, and a lower resonant frequency can be achieved by elongating the liquid column. In comparison with nitrogen and argon, carbon dioxide can realize a lower frequency due to a smaller specific heat ratio.
Keywords:Thermoacoustic engine; Gas-liquid coupling oscillation; Acoustic-electric analogy; Resonant frequency
 
 
 

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