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Turbulent energy dissipation in density jumps

Published online by Cambridge University Press:  23 January 2007

S. HASSID ,
A. REGEV  and
M. POREH
S. HASSID
Affiliation:
Environmental, Water Resources and Agriculture Department Technion, Haifa 32000, Israel
A. REGEV
Affiliation:
Environmental, Water Resources and Agriculture Department Technion, Haifa 32000, Israel
M. POREH
Affiliation:
Environmental, Water Resources and Agriculture Department Technion, Haifa 32000, Israel
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Abstract

The analysis of density jumps is reconsidered and a new approximate model, based on an estimate that most of the turbulent energy produced by the jump is dissipated, is presented. The model suggests new upper bounds for the upstream Froude number, the entrainment and the downstream height. These bounds are shown to be consistent with earlier measurements.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 572 , February 2007 , pp. 1 - 12
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Baddour, R. E. 1987 Hydraulics of shallow and stratified mixing channel. J. Hydraul. Engng ASCE 113, 630–645.CrossRefGoogle Scholar
Baddour, R. E. & Abbink, H. 1983 Turbulent underflow in a short channel of limited depth. J. Hydraul. Engng ASCE 109, 722–740.CrossRefGoogle Scholar
Findikakis, A. N. & Law, W. K. 1998 Marine tailings disposal simulation. J. Hydraul. Engng ASCE 124, 370–382.CrossRefGoogle Scholar
Holland, D. M., Rosales, R. R., Stefanica, D. & Tabak, E. G. 2002 Internal hydraulic jumps and mixing in two-layer flows. J. Fluid Mech. 470, 63–83.CrossRefGoogle Scholar
Jiang, Q. & Smith, R. B. 2001 Ideal shocks in 2-l layer flow: Part 1. Under a rigid lid. Tellus 53 A, 129–145.CrossRefGoogle Scholar
Macagno, E. O. & Macagno, M. C. 1975 Mixing in interfacial hydraulic jumps. Proc. 16th Congress of IAHR, Sao Paolo, Brazil, pp. 373–381.Google Scholar
Prandtl, L. 1945 Ueber ein neues Formellsystem fuer die ausgebildete Turbulenz. Nachrichten Akad. Wiss. Goettingen, Math-Phys. Klasse, no. 6.Google Scholar
Regev, A., Hassid, S. & Poreh, M. 2004 Density jumps in smoke flow along horizontal ceilings. Fire Safety J. 39, 465–479.CrossRefGoogle Scholar
Valiani, A. 1997 Linear and angular momentum conservation in hydraulic jump. J. Hydraul. Res. 35, 323–354.CrossRefGoogle Scholar
Wilkinson, D. L. 1970 Studies in density stratified flows. Water Research Laboratory, Manly Vale, NSW, Australia, Rep. 118.Google Scholar
Wilkinson, D. L. & Wood, I. R. 1971 A rapidly varied flow phenomenon in a two-layer flow. J. Fluid Mech. 47, 241–256.CrossRefGoogle Scholar
Wolfshtein, M. 1967 The velocity and temperature distribution of one-dimensional flow with turbulence augmentation and pressure gradient. Intl J. Heat Mass Transfer 12, 301–318.CrossRefGoogle Scholar