Semianalytical Self-Similar Solution of Bent-Over Jet in Cross-Flow
Publication: Journal of Engineering Mechanics
Volume 125, Issue 7
Abstract
The flow and scalar field in the cross section of a bent-over momentum jet in cross-flow has been investigated via a 2D numerical solution of the governing equations with similarity transformation. The semianalytical model employs a free shear layer model for turbulent closure and the assumption of a constant velocity in the direction of the cross-flow; the entire solution depends solely on a dimensionless turbulent mixing parameter λ that measures the relative importance of advection and diffusion. The computed streamlines and vorticity field clearly indicate a vortex-pair flow for all λ. The shape of the scalar distribution, however, grows from a circular cell to a kidney-shaped double peak structure. Using a value of λ = 55, the computed jet trajectory and spreading and the cross-sectional shape are in good agreement with the experiments, although the dilution is somewhat overpredicted. The results suggest a free shear layer model of ε = 0.0272Wml*, where ε, Wm, and l* are the eddy viscosity, maximum velocity, and half-width in the bent-over jet cross section, respectively.
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Received: Feb 17, 1999
Published online: Jul 1, 1999
Published in print: Jul 1999
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