Please wait a minute...
浙江大学学报(工学版)
J4  2010, Vol. 44 Issue (2): 403-407    DOI: 10.3785/j.issn.1008-973X.2010.02.035
    
Modified model for transmission characteristic of single tube and its experimental verification
WANG Bo, QIU Li-min, SUN Da-ming, BAI Kun, LIU Yu
(Institute of Refrigeration and Cryogenic Engineering, Zhejiang University, Hangzhou 310027, China)
Download:   PDF(0KB) HTML
Export: BibTeX | EndNote (RIS)      

Abstract  

A modified model was proposed based on the fluid network theory, Rott’s wave equation, and Swift’s correction method for turbulence in order to describe the transmission characteristic of a single circular tube. The correction methods for turbulence were discussed. Swift’s correction method is used when R/δv is small, and further correction is made using factor n when R/δv is large and n>1. An acoustic amplifier was taken as example. The calculation results of the turbulence flow at small R/δv by the model and DeltaE agreed well with the experimental results. When the flow was turbulent at large R/δv, the results of the model were closer to the experimental results than DeltaE because the model considered convective heat transfer loss in radical direction.

Published: 09 March 2010
CLC:  TB 68  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
Cite this article:

WANG Bei, QIU Li-Min, SUN Da-Meng, et al. Modified model for transmission characteristic of single tube and its experimental verification. J4, 2010, 44(2): 403-407.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2010.02.035     OR     http://www.zjujournals.com/eng/Y2010/V44/I2/403


单管传输特性的改进模型与实验研究

为了描述单根圆形管道的传输特性,在流体网络理论的基础上,参考Rott的波动方程和Swift对紊流的修正方法,提出单管传输特性的改进模型.在模型中讨论了流动为紊流时的修正方法：当R/δv较小时,利用Swift的修正方法进行修正；当R/δv较大且修正因子n>1时,利用n对紊流进行进一步修正.为了对模型进行验证,以声压放大器这一典型的单管道为例开展了实验研究.紊流时在R/δv较小的情况下,改进模型和DeltaE的计算结果一致,与实验吻合良好；在R/δv较大的情况下,改进模型由于充分考虑了径向上的对流换热损失,其计算结果与DeltaE相比更加接近实验结果.

［1］  BACKHAUS S, SWIFT G W.A thermoacoustic stirling heat engine ［J］.Nature,1999,399： 335338.
［2］ 罗二仓,胡剑英,戴巍,等.一种大幅度提高热声发动机压比的声学泵［J］.科学通报,2005,50(17)：19261928.
LUO Er-cang, HU Jian-ying, DAI Wei, et al. An acoustic amplifier capable of remarkably increasing pressure ratio of thermoacoustic engine ［J］. Chinese Science Bulletin,2005,50(17)：19261928.
［3］ SUN Da-ming, QIU Li-min, WANG Bo, et al. Transmission characteristics of acoustic amplifier in thermoacoustic Engine ［J］. Energy Conversion and Management,2008,49∶913918.
［4］ BAO Rui, CHEN Guo-bang, TANG Ke, et al. Thermoacoustically driven pulse tube refrigeration below 80 K by introdcing an acoustic pressure amplifier ［J］. Applied Physics Letters, 2006,89: 21191512119152.
［5］ WARD W C, SWIFT G W. Design environment for low amplitude thermoacoustic engines［J］.Journal of the Acoustical Society of America, 1994, 95(6): 36713672. ［6］ DAI Wei, HU Jian-ying, LUO Er-cang. Comparison of two different ways of using inertance tube in a pulse tube cooler ［J］. Cryogenics, 2006,46： 273277.
［7］ LUO Er-cang, RADEBAUGH R, LEWIS M. Inertance tube models and their experiment verification ［C］//Advances in Cryogenic Engineering: Transactions of the Cryogenic Engineering Conference-CEC. ［S. l.］: American Institute of Physics, 2004,49: 14851492.
［8］ 罗志昌.流体网络理论［M］.北京:机械工业出版社,1988: 114121.
［9］ ROTT N. Damped and thermally driven acoustic oscillations in wide and narrow tubes ［J］. Zeitschrift fur Angewandte Mathematik und Physik, 1969, 20(2): 230243.
［10］ SWIFT G W. Thermoacoustics: a unifying perspective for some engines and refrigerators ［M］. 5th ed. Los Alamos: ［s. n.］, 2001: 173175.
［11］ GOODSON R E, LEONARD R G. A survey of modeling techniques for fluid line transients ［J］. Journal of Basic Engineering, 1972, 94(2): 474482.
［12］ KIRSHNER J M. Fluid amplifiers ［M］. New York: McGraw-Hill, 1966: 152175.
［13］ KIRSHNER J M, KATZ S. Design theory of fluidic components ［M］. New York: Academic Press, 1975: 7882.
［14］ IGUCHI M, OHMI M, MAEGAWA K. Analysis of free oscillating flow in a U-shaped tube ［J］. Bull JSME, 1982, 25(9): 13981405.
［15］ 王勇,阮奇.计算管内湍动流体摩擦因数的显式新方程［J］.中国工程科学,2006,8(6): 8388.
WANG Yong,RUAN Qi. A new explicit equation for calculating the friction factor for the turbulent flow in pipes ［J］. Engineering Science, 2006, 8(6): 8388.
［16］ LIU J, GARRETT S L. Relationship between Nusselt number and the thermoviscous (Rott) functions ［J］. Journal of the Acoustical Society of America, 2006, 119(3): 14571462.
［17］ 邱利民,孙大明,张武.大型多功能热声发动机的研制及初步实验第一部分:热声发动机的研制［J］.低温工程,2003(2):17.
QIU Li-min, SUN Da-ming, ZHANG Wu, et al. Study of a large-scale multi-function thermoacoustic heat engine with high efficiency Part I: design and construction of the engine［J］. Cryogenic Engineering, 2003(2): 17.
No related articles found!