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The onset process of a thermoacoustic prime mover is a process generating and maintaining self-excited oscillation. It is helpful to have a better understanding of thermoacoustic effect by investigating the mechanism of thermoacoustic self-excited oscillation. The network model of a representative standing-wave thermoacoustic prime mover is established on the basis of thermoacoustic network theory. Comparing thermoacoustic network to electric network, the apparent power flux which inputs the thermoacoustic network is calculated by using the Hermitian form. In the network, the apparent power flux balance means establishing the self-excited oscillation. Based on the above, the threshold temperature and operation frequency of a thermoacoustic prime mover are calculated on condition that the imaginary part of angular frequency is equal to zero. The calculation results are in good agreement with the experimental results. For the coupling relationship of the main pressure with the threshold temperature and operation frequency, the calculation results are roughly close to the experimental results. The obtained results are helpful for the further studying of the thermoacoustic effect and the optimal designing of a thermoacoustic system.
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Keywords:
- thermoacoustic engine /
- self-excited oscillation /
- network /
- threshold temperature
[1] Swift G W 1988 J. Acoust. Soc. Am. 84 1145
[2] Wu F, Li Q, Guo F Z, Shu A Q 2012 J. Wuhan Inst. Tech. 34 1 (in Chinese) [吴锋, 李青, 郭方中, 舒安庆 2012武汉工程大学学报34 1]
[3] Yang Z C, Wu F, Guo F Z, Zhang C P 2011 Acta Phys. Sin. 60 084303 (in Chinese) [杨志春, 吴锋, 郭方中, 张春萍 2011 物理学报 60 084303]
[4] Ge H, Fan L, Xia J, Zhang S Y, Tao S, Yang Y T, Zhang H 2014 Chin. Phys. B 23 074301
[5] Guo F Z, Li Q 2007 Heat Dynamics (Wuhan: Huazhong University of Science and Technology Press) p54 (in Chinese) [郭方中, 李青 2007 热动力学 (武汉: 华中科技大学出版社) 第54页]
[6] Zhang X Q, Li Z Y, Wu J H, Li Q, Tu Q, Yu Z B, Guo F Z 2003 Cryogenics 1 39 (in Chinese) [张晓青, 李正宇, 伍继浩, 李青, 涂虬, 禹智斌, 郭方中 2003 低温工程 1 39]
[7] Tu Q, Li M, Li Q, Zhang X Q, Guo F Z 2003 Vacuum Cryogenics 9 239 (in Chinese) [涂虬, 李敏, 李青, 张晓青, 郭方中 2003 真空与低温 9 239]
[8] Tu Q, Li Q, Liu J X, Wu F, Guo F Z 2003 Cryogenics 2 8 (in Chinese) [涂虬, 李青, 刘钧霞, 吴锋, 郭方中 2003 低温工程 2 8]
[9] Chen X, Li Q, Li Z Y, Guo F Z 2004 Cryogenics 1 27 (in Chinese) [陈熙, 李青, 李正宇, 郭方中 2004 低温工程 1 27]
[10] Li Z Y, Li Q, Wu F, Chen X, Tu Q, Guo F Z 2004 Cryogenics 1 17 (in Chinese) [李正宇, 李青, 吴锋, 陈熙, 涂虬, 郭方中 2004 低温工程 1 17]
[11] Hu X H, Zhang X Q, Wang H L, Shu S M 2008 Chin. Sci. Bull. 53 2109 (in Chinese) [胡兴华, 张晓青, 王惠龄, 舒水明 2008 科学通报 53 2109]
[12] Yu G Y 2008 Ph. D. Dissertation (Beijing: Chinese Academy of Sciences) (in Chinese) [余国瑶 2008 博士学位论文 (北京: 中国科学院)]
[13] Wu J H 2002 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [伍继浩 2002 博士学位论文 (武汉: 华中科技大学)]
[14] Wu F, Shu A Q, Guo F Z, Wang T 2014 Energy 68 370
[15] Huang B H 1990 J. Guangxi Univ. 15 90 (in Chinese) [黄炳华 1990 广西大学学报15 90]
[16] Huang B H 1990 J. Guangxi Univ. 15 81 (in Chinese) [黄炳华 1990 广西大学学报15 81]
[17] Hu X H 2008 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [胡兴华 2008 博士学位论文 (武汉: 华中科技大学)]
[18] Arnott W P, Belcher J R, Raspet R, Bass H 1994 J. Acoust. Soc. Am. 96 370
[19] Lai B H 2011 Ph. D. Dissertation (Hangzhou: Zhejiang University) (in Chinese) [赖碧翚 2011 博士学位论文 (杭州: 浙江大学)]
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[1] Swift G W 1988 J. Acoust. Soc. Am. 84 1145
[2] Wu F, Li Q, Guo F Z, Shu A Q 2012 J. Wuhan Inst. Tech. 34 1 (in Chinese) [吴锋, 李青, 郭方中, 舒安庆 2012武汉工程大学学报34 1]
[3] Yang Z C, Wu F, Guo F Z, Zhang C P 2011 Acta Phys. Sin. 60 084303 (in Chinese) [杨志春, 吴锋, 郭方中, 张春萍 2011 物理学报 60 084303]
[4] Ge H, Fan L, Xia J, Zhang S Y, Tao S, Yang Y T, Zhang H 2014 Chin. Phys. B 23 074301
[5] Guo F Z, Li Q 2007 Heat Dynamics (Wuhan: Huazhong University of Science and Technology Press) p54 (in Chinese) [郭方中, 李青 2007 热动力学 (武汉: 华中科技大学出版社) 第54页]
[6] Zhang X Q, Li Z Y, Wu J H, Li Q, Tu Q, Yu Z B, Guo F Z 2003 Cryogenics 1 39 (in Chinese) [张晓青, 李正宇, 伍继浩, 李青, 涂虬, 禹智斌, 郭方中 2003 低温工程 1 39]
[7] Tu Q, Li M, Li Q, Zhang X Q, Guo F Z 2003 Vacuum Cryogenics 9 239 (in Chinese) [涂虬, 李敏, 李青, 张晓青, 郭方中 2003 真空与低温 9 239]
[8] Tu Q, Li Q, Liu J X, Wu F, Guo F Z 2003 Cryogenics 2 8 (in Chinese) [涂虬, 李青, 刘钧霞, 吴锋, 郭方中 2003 低温工程 2 8]
[9] Chen X, Li Q, Li Z Y, Guo F Z 2004 Cryogenics 1 27 (in Chinese) [陈熙, 李青, 李正宇, 郭方中 2004 低温工程 1 27]
[10] Li Z Y, Li Q, Wu F, Chen X, Tu Q, Guo F Z 2004 Cryogenics 1 17 (in Chinese) [李正宇, 李青, 吴锋, 陈熙, 涂虬, 郭方中 2004 低温工程 1 17]
[11] Hu X H, Zhang X Q, Wang H L, Shu S M 2008 Chin. Sci. Bull. 53 2109 (in Chinese) [胡兴华, 张晓青, 王惠龄, 舒水明 2008 科学通报 53 2109]
[12] Yu G Y 2008 Ph. D. Dissertation (Beijing: Chinese Academy of Sciences) (in Chinese) [余国瑶 2008 博士学位论文 (北京: 中国科学院)]
[13] Wu J H 2002 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [伍继浩 2002 博士学位论文 (武汉: 华中科技大学)]
[14] Wu F, Shu A Q, Guo F Z, Wang T 2014 Energy 68 370
[15] Huang B H 1990 J. Guangxi Univ. 15 90 (in Chinese) [黄炳华 1990 广西大学学报15 90]
[16] Huang B H 1990 J. Guangxi Univ. 15 81 (in Chinese) [黄炳华 1990 广西大学学报15 81]
[17] Hu X H 2008 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [胡兴华 2008 博士学位论文 (武汉: 华中科技大学)]
[18] Arnott W P, Belcher J R, Raspet R, Bass H 1994 J. Acoust. Soc. Am. 96 370
[19] Lai B H 2011 Ph. D. Dissertation (Hangzhou: Zhejiang University) (in Chinese) [赖碧翚 2011 博士学位论文 (杭州: 浙江大学)]
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