Abstract
An experimental system was built to measure the gas (nitrogen and helium) flow characteristics in circular microchannels with diameters of 50, 20 and 5 μm. The Reynolds number of the flow was controlled in the large range of 15 to 2550. The highest Mach number could reach a magnitude of 0.625 and the highest Knudsen number was over 0.021. Four available empirical correlations were comparatively studied, in terms of the influence from compressibility and rarefaction. The accuracy of each correlation was investigated, and qualitative explanations were given according to the essence of fluid dynamics. The compressibility is found to be the dominant parameter in the experiments carried out. The results obtained by gas flow in holey optical fibres are helpful for the design of micro-scale pulse tube cryocoolers.
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References
Agrawal A 2011 A comprehensive review on gas flow in microchannels. Int. J. Micro-Nano Scale Transp. 2(1): 1–40
Asako Y, Nakayama K and Shinozuka T 2005 Effect of compressibility on gaseous flows in a micro-tube. Int. J. Heat Mass Trans., 48(23–24) 4985–4994
Celata G P, Cumo M, McPhail S J, Tesfagabir L and Zummo G 2007 Experimental study on compressible flow in microtubes. Int. J. Heat Fluid Fl 28(1): 28–36
Choi C and Kim M 2011 Flow pattern based correlations of two-phase pressure drop in rectangular microchannels. Int. J. Heat Fluid Fl 32(6) 1199–1207
Croce G and Agaro P D 2009 Compressibility and rarefaction effect on heat transfer in rough microchannels. Int. J. Therm. Sci. 48(2): 252–260
Dutkowski K 2008 Experimental investigations of Poiseuille number laminar flow of water and air in minichannels. Int. J. Heat Mass Trans. 51(25–26): 5983–5990
Ergu O B, Sara O N, Yapici S and Arzutug M E 2009 Pressure drop and point mass transfer in a rectangular microchannel. Int. Commun. Heat Mass 36(6): 618–623
Granger R A 1995 Fluid mechanics. USA: Dover Publications
Hong C, Asako Y, Faghri M and Lee J H 2009 Poiseuille number correlations for gas slip flow in micro-tube. Numer. Heat Trans. A-Appl. 56(10): 785–806
Hooman K, Hooman F and Famouri M 2009 Scaling effects for flow in micro-channels: variable property, viscous heating, velocity slip, and temperature jump. Int. Commun. Heat Mass 36(2): 192–196
Jin T, Huang J L and Tang K 2012 Preliminary study on a novel pulse tube cryocooler based on optical fibre. Proceedings of the 24 th International Cryogenic Engineering Conference and International Cryogenic Materials Conference, Fukuoka, Japan. Cryogenic and Superconductivity Society of Japan, p. 333–338
Jin T, Huang J L, Tang K and Wu M X 2013 Performance analysis of a micro-scale pulse tube cryocooler based on optical fibre regenerator. Cryogenics 55–56: 30–34
Kandlikar S G, Garimella S, Li D, Colin S and King M R 2006 Heat transfer and fluid flow in minichannels and microchannels. Kidlington, Oxford: Elsevier
Morini G L, Yang Y, Chalabi H and Lorenzini M 2011 A critical review of the measurement techniques for the analysis of gas microflows through microchannels. Exp. Therm. Fluid Sci. 35(6): 849–865
Salimpour M R, Sharifhasan M and Shirani E 2011 Constructal optimization of the geometry of an array of micro-channels. Int. Commun. Heat Mass 38(1): 93–99
Shapiro A K 1953 The Dynamics and Thermodynamics of Compressible Fluid Flow. New York: John Wiley
Turner S E 2003 Gas Flow and Heat Transfer in Microchannels: An experimental investigation of compressibility, rarefaction and surface roughness. Ph.D. Thesis, University of Rhode Islan, Kingston, USA
Verma B, Demsis A, Agrawal A and Prabhu S V 2009 Semiempirical correlation for the friction factor of gas flowing through smooth microtubes. J. Vac. Sci. Technol. A 27(3): 584–590
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This work was financially supported by the National Natural Science Foundation of China (51276154, 51076137) and the University Doctoral Subject Special Foundation of China (20100101110034).
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TANG, K., HUANG, J.L., JIN, T. et al. An experiment-based comparative investigation of correlations for microtube gas flow. Sadhana 40, 537–547 (2015). https://doi.org/10.1007/s12046-014-0326-6
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DOI: https://doi.org/10.1007/s12046-014-0326-6