Three-Dimensional Modeling of Density Current in a Straight Channel
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 5
Abstract
Dense underflows are continuous currents that move downslope due to their density being heavier than that of the ambient water. In this work, a steady density current with a uniform velocity and concentration from a narrow sluice gate enters into a wide channel of lighter ambient fluid and moves forward downslope. Experiments varying inlet velocity and concentration and hence inlet Richardson numbers were conducted. Numerical simulations were also performed with a low-Reynolds number model. The results of numerical simulation agree well with the experimental data.
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References
Alavian, V. (1986). “Behavior of density currents on an incline.” J. Hydraul. Eng., 112(1), 27–42.
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. J. (1992). “Dynamic Reynolds stress modeling of turbidity currents.” J. Geophys. Res., 97(C6), 9645–9652.
Choi, S-U., and Garcia, M. H. (2002). “ turbulence modeling of density currents developing two dimensionally on slope.” J. Hydraul. Eng., 128(1), 55–63.
Craft, T. J., and Launder, B. E. (2001). “On the spreading mechanism of the three-dimensional turbulent wall jet.” J. Fluid Mech., 435, 305–326.
Durbin, P. A., and Pettersson-Reif, B. A. (2001). Statistical theory and modeling for turbulent flows, Wiley, New York.
Eidsvik, K. J., and Brørs, B. (1989). “Self-accelerated turbidity current prediction based upon turbulence.” Cont. Shelf Res., 9(7), 617–627.
Farrell, G. J., and Stefan, H. G. (1988). “Mathematical modeling of plunging reservoir flows.” J. Hydraul. Res., 26(5), 525–537.
Fietz, T. R., and Wood, I. R. (1967). “Three-dimensional density current.” J. Hydr. Div., 93(HY6), 1–23.
Firoozabadi, B., Farhanieh, B., and Rad, M. (2001). “The propagation of turbulent density currents on sloping bed.” J. Sci. Iranica, 8(2), 223–235.
Firoozabadi, B., Farhanieh, B., and Rad, M. (2003). “Hydrodynamics of 2-D laminar turbidity current.” J. Hydraul. Res., 41(6), 623–630.
Garcia, M. H. (1993). “Hydraulic jumps in sediment-driven bottom current.” J. Hydraul. Eng., 119(10), 1094–1117.
Gibson, M. M., and Younis, B. A. (1981). “Calculation of a turbulent wall jet on a curved wall with a Reynolds stress model of turbulence.” Proc., 3rd Turbulent Shear Flows Symp., Sept. 1981, Davis, Calif., 4.1–4.6.
Hartel, C., Meiburg, E., and Necker, F. (2000). “Analysis and direct numerical simulation of the flow at a gravity-current head. Part 1: Flow topology and front speed for slip and no-slip boundaries.” J. Fluid Mech., 418, 189–212.
Huang, H., Imran, J., and Pirmez, C. (2005). “Numerical model of turbidity currents with a deforming bottom boundary.” J. Hydraul. Eng., 131(4), 283–293.
Imran, J., et al. (2007). “Helical flow couplets in submarine gravity underflows.” Geology, 35(7), 659–662.
Imran, J., Kassem, A., and Khan, S. M. (2004). “Three-dimensional modeling of density current. I. Flow in straight confined and unconfined channels.” J. Hydraul. Res., 42(6), 578–590.
Irwin, H. P. A. H. (1974). “Measurements in blown boundary layers and their prediction by Reynolds stress modeling.” Ph.D. thesis. McGill Univ., Montreal, Canada.
Kechiche, J., Mhiri, H., Le Palec, G., and Bournot, P. (2004). “Application of low Reynolds number turbulence models to the study of turbulent wall jet.” Int. J. Therm. Sci., 43(2), 201–211.
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.
Kupusovic, T. (1989). “A two-dimensional model of turbulent flow applied to density currents.” Proc., Computational Modeling and Experimental Methods in Hydraulics (HYDROCOMP’89), Elsevier Applied Science, London.
Lakehal, D., Krebs, P., Krijgsman, J., and Rodi, W. (1999). “Computing shear flow and sludge blanket in secondary clarifiers.” J. Hydraul. Eng., 125(3), 253–262.
Launder, B. E., Reece, G. J., and Rodi, W. (1975). “Progress in the development of a Reynolds stress turbulence closure.” J. Fluid Mech., 68, 537–566.
Launder, B. E., and Rodi, W. (1983), “The turbulent wall jet. Measurements and modeling.” Annu. Rev. Fluid Mech., 15, 429–459.
Launder, B. E., and Sharma, B. I. (1974). “Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc.” Lett. Heat Mass Transfer, 1, 131–138.
Lubke, H. M., Rung, Th., and Thiele, F. (2003). “Prediction of the spreading mechanism of 3D turbulent wall jets with explicit Reynolds-stress closure.” Int. J. Heat Fluid Flow, 24(4), 434–443.
Lyn, D. A., Stamou, A. I., and Rodi, W. (1992). “Density currents and shear-induced flocculation in sedimentation tanks.” J. Hydraul. Eng., 118(6), 849–867.
Reece, G. J. (1977). “A generalized reynolds-stress model of turbulence.” Ph. D. thesis, Univ. of London, London.
Simpson, J. E. (1987). Gravity currents in the environment and the laboratory, Wiley, New York.
Stacey, M. W., and Bowen, A. J. (1988a). “The vertical structure density and turbidity currents: Theory and observations.” J. Geophys. Res., 93(C3), 3528–3542.
Stacey, M. W., and Bowen, A. J. (1988b). “The vertical structure of turbidity currents and a necessary condition for self-maintenance.” J. Geophys. Res., 93(C3), 3543–3553.
Tsihrintzis, V. A., and Alavian, V. (1996). “Spreading of three-dimensional inclined gravity plumes.” J. Hydraul. Res., 34(5), 695–711.
Turner, J. S. (1986). “Turbulent entrainment: The development of the entrainment assumption, and its application to geophysical flows.” J. Fluid Mech., 173, 431–471.
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© 2009 ASCE.
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Received: Jun 24, 2006
Accepted: Oct 31, 2008
Published online: Feb 6, 2009
Published in print: May 2009
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