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Chin. Phys. B, 2011, Vol. 20(12): 124701    DOI: 10.1088/1674-1056/20/12/124701

Influences of initial velocity, diameter and Reynolds number on a circular turbulent air/air jet

Mi Jian-Chun(米建春)a)b)† and Du Cheng(杜诚)a)b)
State Key Laboratory of Turbulence and Complex Systems, Peking University, Beijing 100871, China; b Department of Energy and Resources Engineering, College of Engineering, Peking University, Beijing 100871, China
Abstract  This paper assesses the suitability of the inflow Reynolds number defined by ReoUoD/$\nu$ (here Uo and D are respectively the initial jet velocity and diameter while $\nu$ is kinematic viscosity) for a round air/air jet. Specifically an experimental investigation is performed for the influences of Uo, D and Reo on the mean-velocity decay and spread coefficients (Ku, Kr) in the far field of a circular air jet into air from a smoothly contracting nozzle. Present measurements agree well with those previously obtained under similar inflow conditions. The relations KuUo and Kr ∝ 1/Uo for Uo < 5 m/s appear to work, while each coefficient approaches asymptotically to a constant for Uo > 6 m/s, regardless of the magnitudes of Reo and D. It is revealed that Reo may not be an appropriate dimensionless parameter to characterize the entire flow of a free air/air jet. This paper is the first paper that has challenged the suitability of Reo for turbulent free jets.
Keywords:  turbulent jet      momentum conservation      Reynolds number  
Received:  20 April 2011      Revised:  15 July 2011      Accepted manuscript online: 
PACS:  47.27.-i (Turbulent flows)  
  47.27.wg (Turbulent jets)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10921202 and 11072005).

Cite this article: 

Mi Jian-Chun(米建春) and Du Cheng(杜诚) Influences of initial velocity, diameter and Reynolds number on a circular turbulent air/air jet 2011 Chin. Phys. B 20 124701

[1] Zaman K B M Q 1985 J. Fluid Mech. 152 83
[2] Dimotakis P E, Miake-Lye R C and Panpantoniou D A 1983 Phys Fluids 26 3185
[3] Miller P L and Dimotakis P E 1991 Phys. Fluids A 3 1156
[4] Gilbrech R J 1991 An Experimental Investigation of Chemically Reacting Gas-Phase Turbulent Jets Ph. D. thesis California Institute of Technology, California, USA
[5] Koochesfahani M M and Dimotakis P E 1986 J. Fluid Mech. 170 83
[6] Michalke A 1984 Prog. Aerosp. Sci. 21 159
[7] Oosthuizen P H 83-FE-36 of ASME Applied Mechanics, Bioengineering, and Fluids Engineering Conference Houston/TX USA, June 20-22, 1983
[8] Bogey C and Bailly C 2006 Phys. Fluids 18 065101
[9] Pitts W M 1990 Expts. Fluids 11 135
[10] Panchapakesan N R and Lumley J L 1993 J. Fluid Mech. 246 197
[11] Hussein H J, Capp S P and George W K 1994 J. Fluid Mech. 258 31
[12] Pope S B 2000 Turbulent Flows (Cambridge: Cambridge University Press) p. 101
[13] Malmström T G, Kirkpatrick A T, Christensen B and Knappmiller K D 1997 J. Fluid Mech. 346 363
[14] Mi J, Nathan G J and Zhou Y The 22nd International Congress of Theoretical & Applied Mechanics 25-29 August 2008, Adelaide, Australia
[15] Nottage H B 1951 Report on Ventilation Jets in Room Air Distribution Case Inst. of Technology, Cleveland, Ohio
[16] Todde V, Spazzini P and Sandberg M 2009 Expt. Fluids 47 279
[17] Abdel-Rahman A A, Chakroun W and AI-Fahed S F 1997 Mech. Res. Comm. 24 277
[18] Du C, Xu M and Mi J 2010 Acta Phys. Sin. 59 6331 (in Chinese)
[19] Mi J and Feng B 2010 Acta Phys. Sin. 59 4748 (in Chinese)
[20] Mi J, Feng B, Deo R C and Nathan G J 2009 Acta Phys. Sin. 58 7756 (in Chinese)
[21] Mi J and Feng B 2011 Chin. Phys. B 20 074701
[22] Tennekes H and Lumley J L 1972 A First Course in Turbulence (Cambridge: The MIT Press)
[23] Schlichting H 1979 Boundary Layer Theory 7th edn. (New York: Mc Graw-Hill)
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