Particle Image Velocimetry Measurements and Numerical Modeling of a Saline Density Current
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Hydraulic Engineering
Volume 137, Issue 3
Abstract
Particle image velocimetry scalar measurements were carried out on the body of a stably stratified density current with an inlet Reynolds number of 2,300 and bulk Richardson number of 0.1. These measurements allowed the mass and momentum transport between the current and the less dense ambient fluid to be investigated. Reynolds stress, Reynolds flux, and shear production of turbulent kinetic-energy profiles revealed local maxima at the bed, as well as at the interface with the ambient fluid. Profiles of excess density variance and buoyancy production of turbulent kinetic energy revealed only local maxima at the interface with the ambient. These maxima decreased downstream as the stable density gradient reduced the turbulent intensities, until turbulence collapsed. A two-dimensional, unsteady, Reynolds-averaged Navier-Stokes (2DV-URANS) simulation was also performed on this density current. Good agreement was found between the modeled and measured normalized mean flow profiles. A comparison was also made between the measured and modeled outer flow scales of the density current.
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Acknowledgments
The writers would like to express their gratitude to Gerber van der Graaf for providing the open-source particle image velocimetry software named GPIV (http://gpiv.sourceforge.net/).
References
Ahlman, D. (2006). “A study of turbulence and scalar mixing in a wall-jet using direct numerical simulation.” Ph.D. thesis, Dept. of Mechanics, Royal Institute of Technology, Stockholm, Sweden.
Benedict, L. H., and Gould, R. D. (1996). “Towards better uncertainty estimates for turbulence statistics.” Exp. Fluids, 22(2), 129–136.
Bournet, P. E., Dartus, D., Tassin, B., and Vincon-Leite, B. (1999). “Numerical investigation of plunging density current.” J. Hydraul. Eng., 125(6), 584–594.
Brørs, B., and Eidsvik, K. L. (1992). “Dynamic Reynolds modeling of turbidity currents.” J. Geophys. Res., 97(C6), 9645–9652.
Buckee, C., Kneller, B., and Peakall, J. (2009). “Turbulence structure in steady, solute-driven gravity currents.” Particulate gravity currents, W. McCaffrey, B. Kneller, and J. Peakall, eds., Blackwell, Oxford, UK, 173–187.
Choux, C. M. A., Baas, J. H., McCaffrey, W. D., and Haughton, P. D. W. (2005). “Comparison of spatio-temporal evolution of experimental particulate gravity flows at two different initial concentrations, based on velocity, grain size and density data.” Sediment. Geol., 179, 49–69.
Christensen, K. T. (2004). “The influence of peak-locking errors on turbulence statistics computed from PIV ensembles.” Exp. Fluids, 36, 484–497.
Dallimore, C. J., Imberger, J., and Ishikawa, T. (2001). “Entrainment and turbulence in saline underflow in Lake Ogawara.” J. Hydraul. Eng., 127(11), 937–948.
Ellison, T., and Turner, J. (1959). “Turbulent entrainment in stratified flows.” J. Fluid Mech., 6(3), 423–448.
Eriksson, J. G., Karlsson, R. I., and Persson, J. (1998). “An experimental study of a two-dimensional turbulent wall jet.” Exp. Fluids, 25, 50–60.
Farrell, G. J., and Stefan, H. G. (1988). “Mathematical modeling of plunging reservoir flows.” J. Hydraul. Res., 26(5), 525–537.
Fernandez, R. L., and Imberger, J. (2006). “Bed roughness induced entrainment in a high Richardson number underflow.” J. Hydraul. Res., 44(6), 725–738.
Garcia, M. (1993). “Hydraulic jumps in sediment-driven bottom currents.” J. Hydraul. Res., 119(10), 1094–1117.
Gray, T. E., Alexander, J., and Leeder, M. R. (2005). “Quantifying velocity and turbulence structure in depositing sustained turbidity currents across breaks in slope.” Sedimentology, 52, 467–488.
Hossain, M. S., and Rodi, W. (1977). “Infuence of buoyancy on the turbulence intensities in horizontal and vertical jets.” Heat transfer and turbulent buoyant convection, D. B. Spalding and N. Afgan, eds., McGraw-Hill, New York.
Huang, H., Imran, J., and Pirmez, C. (2005). “Numerical modelling of turbidity currents with a deforming bottom boundary.” J. Hydraul. Eng., 131(4), 283–293.
Jacobitz, F. G. (2000). “Scalar transport and mixing in turbulent stratified flow.” Int. J. Heat Fluid Flow, 21, 535–541.
Kassem, A., and Imran, J. (2001). “Simulation of turbid underflows generated by the plunging of a river.” Geology, 29(7), 655–658.
Kneller, B. C., Bennett, S. J., and McCaffrey, W. D. (1999). “Velocity structure, turbulence and fluid stresses in experimental gravity currents.” J. Geophys. Res., 104(C3), 5381–5391.
Lee, H., and Yu, W. (1997). “Experimental study of reservoir turbidity current.” J. Hydraul. Eng., 123(6), 520–528.
Lide, D. R., ed. (1997). CRC handbook of chemistry and physics, CRC Press, London.
Manninen, M., Taivassalo, V., and Kallio, S. (1996). “On the mixture model for multiphase flow.” Valtion teknillinen tutkimuskeskus (VTT) Publications 288, Technical Research Centre of Finland, Espoo, Finland.
McCaffrey, W. D., Choux, C. M., Baas, J. H., and Haughton, P. D. W. (2003). “Spatio-temporal evolution of velocity structure, concentration and grain-size stratification within experimental particulate gravity currents.” Mar. Pet. Geol., 20, 851–860.
Nezu, I., and Nakagawa, H. (1993). “Turbulence in open-channel flows.” IAHR-Monograph series, Balkema, Rotterdam, The Netherlands.
Parker, G., Garcia, M., Fukushima, Y., and Yu, W. (1987). “Experiments on turbidity currents over an erodible bed.” J. Hydraul. Res., 25(1), 123–147.
Pope, S. B. (2001). Turbulent flows, Cambridge University Press, Cambridge, UK.
Raffel, M., Willert, C. E., and Kompenhans, J. (1998). Particle image velocimetry: A practical guide, Springer, Berlin.
Ramaprabhu, P., and Andrews, M. J. (2003). “Simultaneous measurements of velocity and density in buoyancy-driven mixing.” Exp. Fluids, 34(1), 98–106.
Rhie, C. M., and Chow, W. L. (1983). “Numerical study of the turbulent flow past an airfoil with trailing edge seperation.” AIAA J., 21(11), 1525–1532.
Rodi, W. (1980). Turbulence models and their application in hydraulics, International Association for Hydraulics Research, Delft, The Netherlands.
Simpson, J. E. (1997). Gravity currents in the environment and the laboratory, Cambridge University Press, Cambridge, UK.
Tennekes, H., and Lumley, J. L. (1973). A first course in turbulence, MIT Press, Cambridge, MA.
Thomas, L. P., Dalziel, S. B., and Marino, B. M. (2003). “The structure of the head of an inertial gravity current determined by particle-tracking velocimetry.” Exp. Fluids, 34, 708–716.
Turner, J. S. (1973). Buoyancy effects in fluids, Cambridge University Press, Cambridge, UK.
Venås, B., Abrahamsson, H., Krogstad, P. Å., and Löfdahl, L. (1999). “Pulsed hot-wire measurements in two- and three-dimensional jets.” Exp. Fluids, 27, 210–218.
Westerweel, J., and Scarano, F. (2005). “Universal outlier detection.” Exp. Fluids, 39(6), 1096–1100.
Wörner, M. (2003). “A compact introduction to the numerical modeling of multiphase flows.” Wissenschaftliche berichte FZKA 6932, Forschungszentrum Karlsruhe in der Helmholtz-Gemeinschaft, Karlsruhe, Germany.
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Information
Published In
Journal of Hydraulic Engineering
Volume 137 • Issue 3 • March 2011
Pages: 333 - 342
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Feb 1, 2010
Accepted: Jul 27, 2010
Published online: Aug 3, 2010
Published in print: Mar 1, 2011
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