Rise Height for Negatively Buoyant Fountains and Depth of Penetration for Negatively Buoyant Jets Impinging an Interface

[+] Author and Article Information
P. D. Friedman

Department of Mechanical Engineering, The United States Naval Academy, Annapolis, MD 21402  

J. Katz

Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218

J. Fluids Eng 122(4), 779-782 (Jun 22, 2000) (4 pages) doi:10.1115/1.1311786 History: Received January 11, 2000; Revised June 22, 2000
Copyright © 2000 by ASME
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Grahic Jump Location
(a) Fluid below the interface, which is the same as jet fluid, is separated from the upper fluid by a sharp density interface. Flow exits the jet at velocity and diameter (UP,DP), and spreads to (Ui,Di) when it reaches the position of the undisturbed interface. (b) Fountain rises to a maximum height and reverses.
Grahic Jump Location
Dimensionless penetration depth as a function of RiP/F2. All data approach one of three power law trends. Data from Friedman and Katz at high RiP/F2 follow a different trend than the rest of the data because of the radial pressure distribution established as flow turns sharply over pipe edge.
Grahic Jump Location
Dimensionless penetration depth, h/DP as a function RiP/F2. In this case, F is based on jet spreading to the position l+h [i.e., F=DPK2/(1+h−x0)]. The correlation shows significant deviation and is not considered universal.



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