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Turbulent thermohaline hydraulic jumps

Published online by Cambridge University Press:  03 November 2021

Raouf Emile Baddour Open the ORCID record for Raouf Emile Baddour [Opens in a new window]
Raouf Emile Baddour*
Affiliation:
Department of Civil & Environmental Engineering, University of Western Ontario, London, Ontario, N6A 5B9 Canada
*
† Email address for correspondence: rbaddour@uwo.ca
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Abstract

Turbulent entrainment properties of thermohaline internal hydraulic jumps in quiescent ambient water are investigated. Underflow and overflow jumps are considered. The study is mainly concerned with thermohaline buoyancy effects on flow development. The thermohaline buoyancy is determined from a seawater equation of state, which is nonlinear in temperature and linear in salinity, and is accurate throughout the range of temperature and salinity of interest (T = 0 to 40 °C and S = 0 to 40 ppt). The results indicate that thermohaline buoyancy produces smaller less diluted underflow jumps and larger more diluted overflow jumps. These nonlinear buoyancy effects are particularly significant when buoyancy arising from temperature and salinity act in opposite directions. Hydraulic controls by vertical and/or horizontal constrictions downstream reveal, using a matching technique, unique stationary miscible jump solutions.

JFM classification

Waves/Free-surface Flows: Hydraulics Turbulent Flows: Stratified turbulence Geophysical and Geological Flows: Hydraulic control

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 930 , 10 January 2022 , A5
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Armi, L. 1986 The hydraulics of two flowing layers with different densities. J. Fluid Mech. 163, 27–58.CrossRefGoogle Scholar
Armi, L. & Farmer, D.M. 1988 The flow of Mediterranean water through the Strait of Gibraltar. Prog. Oceanogr. 21, 1–105.Google Scholar
Baddour, R.E. 1987 Hydraulics of shallow and stratified mixing channel. J. Hydraul. Engng 113, 630–645.CrossRefGoogle Scholar
Baddour, R.E. 1991 Thermal hydraulic jump: theory and experiment. J. Fluid Mech. 226, 243–256.CrossRefGoogle Scholar
Baddour, R.E. 1994 Thermal-saline bubble plumes. In Recent Advances in the Fluid Mechanics of Turbulent Jets and Plumes, pp. 117–129. Kluwer Academic.CrossRefGoogle Scholar
Baddour, R.E. & Abbink, H. 1983 Turbulent underflow in a short channel of limited depth. J. Hydraul. Engng 109 (5), 722–740.CrossRefGoogle Scholar
Baines, P.G. 1984 Unified description of two-layer flow over topography. J. Fluid Mech. 146, 127–167.CrossRefGoogle Scholar
Baines, P.G. 1998 Topographic Effects in Stratified Flows. Cambridge University Press.Google Scholar
Baines, P.G. 2016 Internal hydraulic jumps in two-layer systems. J. Fluid Mech. 787, 1–15.CrossRefGoogle Scholar
Benton, G.S. 1954 The occurrence of critical flow and hydraulic jumps in a multi-layered fluid system. J. Meteorol. 11, 139–150.2.0.CO;2>CrossRefGoogle Scholar
Bigg, P.H. 1967 Density of water in SI units over the range 0–40C. Brit. J. Appl. Phys. 18, 521–525.CrossRefGoogle Scholar
Brydon, D., Sun, S. & Bleck, R. 1999 A new approximation of the equation of state for seawater, suitable for numerical ocean models. J. Geophys. Res. 104 (C1), 1537–1540.CrossRefGoogle Scholar
Chu, V.H. & Baddour, R.E. 1977 Surges, waves and mixing in a two-layer density stratified flow. In Proceedings of the XVIIth Congress, pp. 303–310. IAHR.Google Scholar
Dadonau, M., Partridge, J.L. & Linden, P.F. 2020 The effect of double diffusion on the dynamics of horizontal turbulent thermohaline jets. J. Fluid Mech. 905 (A23), 1–20.CrossRefGoogle Scholar
Guo, L.-L. 1992 Internal jumps in stratified cooling channels. MESc thesis, University of Western Ontario, London, Canada.Google Scholar
Hassid, S., Regev, A. & Poreh, M. 2007 Turbulent energy dissipation in density jumps. J. Fluid Mech. 572, 1–12.CrossRefGoogle Scholar
Henderson, F.M. 1966 Open Channel Flow. Macmillan Publishing Company.Google 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
Lawrence, G.A. 1993 The hydraulics of steady two-layer flow over a fixed obstacle. J. Fluid Mech. 254, 605–633.CrossRefGoogle Scholar
Long, R.R. 1953 Some aspects of the flow of stratified fluid I. A theoretical investigation. Tellus 5, 42–58.CrossRefGoogle Scholar
Long, R.R. 1954 Some aspects of the flow of stratified fluid II. Experiments with a two-fluid system. Tellus 6, 97–115.CrossRefGoogle Scholar
Millero, F.J. 2010 History of the equation of state of seawater. Oceanography 23, 19–33.CrossRefGoogle Scholar
Millero, F.J. & Poisson, A. 1981 International one-atmosphere equation of state of seawater. Deep Sea Res. 28A, 625–629.CrossRefGoogle Scholar
Nycander, J., Hieronymus, M. & Roquet, F. 2015 The nonlinear equation of state of seawater and the global water mass distribution. Geophys. Res. Lett. 42, 1–8.CrossRefGoogle Scholar
Ogden, K.A. & Helfrich, K.R. 2016 Internal hydraulic jumps in two-layer flows with upstream shear. J. Fluid Mech. 789, 64–92.CrossRefGoogle Scholar
Rouse, H. 1946 Elementary Mechanics of Fluids. Dover Publications.Google Scholar
Stommel, H. & Farmer, H.G. 1953 Control of salinity in an estuary by a transition. J. Mar. Res. 12 (1), 13–20.Google Scholar
Thorpe, S.A. & Li, L. 2014 Turbulent hydraulic jumps in a stratified shear flow. J. Fluid Mech. 758, 94–120.CrossRefGoogle Scholar
Thorpe, S.A., Malarkey, J., Voet, G., Alford, M.H., Girton, J.B. & Carter, G.S. 2018 Application of a model of internal hydraulic jumps. J. Fluid Mech. 834, 125–148.CrossRefGoogle Scholar
Turner, J.S. 1966 Jets and plumes with negative or reversing buoyancy. J. Fluid Mech. 26, 779–792.CrossRefGoogle Scholar
Whitehead, J.A. 1995 Thermohaline ocean processes and models. Annu. Rev. Fluid Mech. 27, 89–113.CrossRefGoogle 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
Wood, I.R. & Simpson, J.E. 1984 Jumps in layered miscible fluids. J. Fluid Mech. 140, 329–342.CrossRefGoogle Scholar
Yih, C.-S. & Guha, C.R. 1955 Hydraulic jump in a fluid system of two layers. Tellus 7, 358–366.CrossRefGoogle Scholar