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Chin. Phys. B, 2011, Vol. 20(7): 074701    DOI: 10.1088/1674-1056/20/7/074701
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Analytical investigation on mean and turbulent velocity fields of a plane jet

Mi Jian-Chun(米建春) and Feng Bao-Ping(冯宝平)
Department of Energy & Resources Engineering, College of Engineering, Peking University, Beijing 100871, China
Abstract  This paper analyses the downstream developments of the mean and the turbulent velocity fields of a plane jet. Based on the conservation of mass and the conservation of momentum, the mean-velocity half width (reflecting the jet spread rate) and the relative mass flow rate (jet entrainment) are related to the decay rate of the centreline mean velocity. These relations are not subject to self-preservation. Both analytical and experimental results suggest that the jet spread rate (K1) and the entrainment rate (K3) (and thus the decay rate K2) can be well estimated from the centreline velocity, i.e., K1 ≈ 0.6K2 and K3K2. The effect of initial mean velocity and RMS velocity profiles on the downstream mean velocity field appears to be embodied in the constants K1 K2 and K3. The analytical relationship for the self-preserving Reynolds shear stress, obtained for the first time, works well.
Keywords:  turbulent plane jet      momentum conservation      Reynolds shear stress  
Received:  28 December 2010      Revised:  20 February 2011      Accepted manuscript online: 
PACS:  47.27.-i (Turbulent flows)  
  47.27.wg (Turbulent jets)  

Cite this article: 

Mi Jian-Chun(米建春) and Feng Bao-Ping(冯宝平) Analytical investigation on mean and turbulent velocity fields of a plane jet 2011 Chin. Phys. B 20 074701

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