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

doi:10.1088/1674-1056/20/7/074701

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 K₃ ∝ K₂. 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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Analytical investigation on mean and turbulent velocity fields of a plane jet

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