Skip to main content
Log in

Dynamics of the head of gravity currents

  • Original Article
  • Published:
Environmental Fluid Mechanics Aims and scope Submit manuscript

Abstract

The present work experimentally investigates the dynamics of unsteady gravity currents produced by lock-release of a saline mixture into a fresh water tank. Seven different experimental runs were performed by varying the density of the saline mixture in the lock and the bed roughness. Experiments were conducted in a Perspex flume, of horizontal bed and rectangular cross section, and recorded with a CCD camera. An image analysis technique was applied to visualize and characterize the current allowing thus the understanding of its general dynamics and, more specifically, of the current head dynamics. The temporal evolution of both head length and mass shows repeated stretching and breaking cycles: during the stretching phase, the head length and mass grow until reaching a limit, then the head becomes unstable and breaks. In the instants of break, the head aspect ratio shows a limit of 0.2 and the mass of the head is of the order of the initial mass in the lock. The average period of the herein called breaking events is seen to increase with bed roughness and the spatial periodicity of these events is seen to be approximately constant between runs. The rate of growth of the mass at the head is taken as a measure to assess entrainment and it is observed to occur at all stages of the current development. Entrainment rate at the head decreases in time suggesting this as a phenomenon ruled by local buoyancy and the similarity between runs shows independence from the initial reduced gravity and bed roughness.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. Adduce C, Lombardi V, Sciortino G, Morganti M (2009) Roughness effects on gravity currents dynamics. In: Proceedings of 33rd IAHR congress, Vancouver, Canada

  2. Adduce C, Sciortino G, Proietti S (2012) Gravity currents produced by lock-exchanges: experiments and simulations with a two layer shallow-water model with entrainment. J Hydr Eng 138(2):111–121

    Article  Google Scholar 

  3. Alahyari A, Longmire EK (1996) Development and structure of a gravity current head. Exp Fluids 20:410–416

    Article  Google Scholar 

  4. Alavian V (1986) Behaviour of density currents on an incline. J Hydr Eng 112(1):27–42

    Article  Google Scholar 

  5. Allen JRL (1971) Mixing at turbidity currents heads, and its geological implications. Sediment Petrol 41(1):97–113

    Google Scholar 

  6. Altinakar MS (1993) Weakly depositing turbidity currents on small slopes. PhD thesis, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland

  7. Alves E, González J, Freire P, Cardoso H (2008) Experimental study of plunging turbidity currents in reservoirs. In: Proceedings of river flow 2008, Çeşme-Izmir, Turkey

  8. Arneborg L, Fiekas V, Umlauf L, Burchard H (2007) Gravity current dynamics and entrainment—a process study based on observations in the Arkona Basin. J Phys Oceanogr 37:2094–2113

    Article  Google Scholar 

  9. Benjamin TB (1968) Gravity currents and related phenomena. J Fluid Mech 31:209–248

    Article  Google Scholar 

  10. Bombardelli FA, Cantero MI, García MH, Buscaglia GC (2009) Numerical aspects of the simulation of descontinuous saline underflows: the lock-exchange problem. J Hydr Res 47(6):777–789

    Article  Google Scholar 

  11. Britter RE, Linden PF (1980) The motion of the front of a gravity current travelling down an incline. J Fluid Mech 99(3):531–543

    Article  Google Scholar 

  12. Britter RE, Simpson J (1978) Experiments on the dynamics of a gravity current head. J Fluid Mech 88(2):223–240

    Article  Google Scholar 

  13. Cantero MI, Lee JR, Balachandar S, García MH (2007) On the front velocity of gravity currents. J Fluid Mech 586:1–39

    Article  Google Scholar 

  14. Cantero MI, Balachandar S, García MH, Bock D (2008) Turbulent structures in planar gravity currents and their influence on the flow dynamics. J Geophys Res 113 (C08018)

  15. Cenedese C, Adduce C (2008) Mixing in a density driven current flowing down a slope in a rotating fluid. J Fluid Mech 604:369–388

    Google Scholar 

  16. Cenedese C, Adduce C (2010) A new entrainment parametrization for mixing in overflows. J Phys Oceanogr 40(8):1835–1850

    Article  Google Scholar 

  17. Cenedese C, Whitehead JA, Ascarelli TA, Ohiwa M (2004) A dense current flowing down a sloping bottom in a rotating fluid. J Phys Oceanogr 34:188–203

    Article  Google Scholar 

  18. Dallimore CJ, Imberger J, Ishikawa T (2001) Entrainment and turbulence in saline underflow in Lake Ogawara. J Hydr Eng 127(11):937–948

    Article  Google Scholar 

  19. Elder RA, Wunderlich WO (1972) Inflow density currents in TVA reservoirs. In: Proceedings of international symposium on stratified flows, Novosibirsk, Russia

  20. Ellison TH, Turner JS (1959) Turbulent entrainment in stratified flows. J Fluid Mech 6:423–448

    Article  Google Scholar 

  21. Fernandez RL, Imberger J (2006) Bed roughness induced entrainments in a high Richardson number underflow. J Hydr Res 44(6):725–738

    Article  Google Scholar 

  22. García MH, Parsons JD (1996) Mixing at the front of gravity currents. Dyn Atmospheres Oceans 24:197–205

    Google Scholar 

  23. Gerber G, Diedericks G, Basson GR (2011) Particle image velocimetry measurements and numerical modeling of a saline density current. J Hydr Eng 137(3):333–342

    Article  Google Scholar 

  24. Girton JB, Sanford TB (2003) Descent and modification of the overflow plume in Denmark Strait. J Phys Oceanogr 33:1351–1364

    Article  Google Scholar 

  25. Hacker J, Linden PF, Dalziel SB (1996) Mixing in lock-release gravity currents. Dyn Atmospheres Oceans 24:183–195

    Article  Google Scholar 

  26. Hallworth MA, Huppert HE, Phillips JC, Sparks RSJ (1996) Entrainment into two-dimensional and axisymmetric turbulent gravity currents. J Fluid Mech 308:289–311

    Article  Google Scholar 

  27. Härtel C, Meiburg E, 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

    Article  Google Scholar 

  28. Hebbert B, Imberger J, Loh I, Patterson J (1979) Collie River underflow into the Wellington reservoir. J Hydr Div ASCE 105(5):533–545

    Google Scholar 

  29. Huppert HE, Simpson JE (1980) The slumping of gravity currents. J Fluid Mech 99(4):785–799

    Article  Google Scholar 

  30. Kestin J, Khalifa HE, Correia RJ (1981) Tables of the dynamic and kinematic viscosity of aqueous NaCl solutions in the temperature range 20-150c and the pressure range 0.1-35 MPa. Phys Chem Ref Data 10(1):71–87

    Google Scholar 

  31. Keulegan GH (1949) Interfacial instability and mixing in stratified flows. J Res US Bur Stand 43:487–500

    Google Scholar 

  32. Khavasi E, Afshin H, Firoozabadi B (2012) Effect of selected parameters on the depositional behaviour of turbidity currents. J Hydr Res 50(1):60–69

    Article  Google Scholar 

  33. La Rocca M, Adduce C, Sciortino G, Pinzon AB (2008) Experimental and numerical simulation of three-dimensional gravity currents on smooth and rough bottom. Physics Fluids 20

  34. La Rocca M, Adduce C, Lombardi V, Sciortino G, Hinkelmann R (2012a) Development of a lattice Boltzmann method for two-layered shallow-water flow. Int J Numer Meth Fluids 70(8)

  35. La Rocca M, Adduce C, Sciortino G, Pinzon AB, Boniforti MA (2012b) A two-layer, shalow water model for 3D gravity currents. J Hydr Res 50(2):208–217

    Article  Google Scholar 

  36. Marino BM, Thomas LP, Linden PF (2005) The front condition for gravity currents. J Fluid Mech 536:49–78

    Article  Google Scholar 

  37. Martin JE, García MH (2009) Combined PIV/PLIF measurements of a steady density current front. Exp Fluids 46:265–276

    Article  Google Scholar 

  38. Martin JE, Sun T, García MH (2012) Optical methods in the laboratory: an application to density currents over bedforms. In: Rodi W, Uhlman M (eds) Environmental fluid mechanics: memorial volume in honour of Prof. Gerhard H. Jirka—IAHR Monograph. CRC Press, Taylor & Francis Group

  39. Mauritzen C, Price J, Sanford T, Torres D (2005) Circulation and mixing in the faroese channels. Deep-Sea Res I 52:883–913

    Article  Google Scholar 

  40. Nogueira HIS, Adduce C, Alves E, Franca MJ (2012) The influence of bed roughness on the dynamics of gravity currents. In: Proceedings of river flow 2012. San José, Costa Rica

  41. Nogueira HIS, Adduce C, Alves E, Franca MJ (2013a) Analysis of lock-exchange gravity currents over smooth and rough beds. J Hydr Res 1–15

  42. Nogueira HIS, Adduce C, Alves E, Franca MJ (2013b) Image analysis technique applied to lock-exchange gravity currents. Meas Sci Technol 24(047001), 4 pp

    Google Scholar 

  43. Oehy C, Schleiss AJ (2007) Control of turbidity currents in reservoirs by solid and permeable obstacles. J Hydr Eng 133(6):637–648

    Article  Google Scholar 

  44. Ooi SK, Constantinescu G, Weber LJ (2007) 2D large-eddy simulation of lock exchange gravity current flows at high grashof numbers. J Hydr Eng 133(9):1037–1047

    Article  Google Scholar 

  45. Özgökmen TM, Fischer PF (2008) On the role of bottom roughness in overflows. Ocean Model 20(9):336–361

    Article  Google Scholar 

  46. Özgökmen TM, Fischer PF, Duan J, Iliescu T (2004) Three-dimensional turbulent bottom density currents from a high-order nonhydrostatic spectral element model. J Phys Oceanogr 34:2006–2026

    Article  Google Scholar 

  47. Paik J, Eghbalzadeh A, Sotiropoulos F (2009) Three-dimensional unsteady rans modelling of discontinuous gravity currents in rectangular domains. J Hydr Eng 135(6):505–521

    Article  Google Scholar 

  48. Parker G, García MH, Fukushima Y (1987) Experiments in turbidity currents over an erodible bed. J Hydr Res 25:123–147

    Article  Google Scholar 

  49. Parsons JD, García MH (1998) Similarity of gravity current fronts. Phys Fluids 10(12):3209–3213

    Article  Google Scholar 

  50. Peters WD, Venart JES (2000) Visualization of rough-surface gravity current flows using laser-induced fluorescence. In: Proceedings of 9th international symposium of flow visualization, Edinburgh, Scotland

  51. Price JF, Baringer MO (1994) Outflows and deep water production by marginal seas. Prog Oceanogr 33:161–200

    Article  Google Scholar 

  52. Princevac M, Fernando HJS, Whiteman CD (2005) Turbulent entrainment into natural gravity-driven flows. J Fluid Mech 533:259–268

    Google Scholar 

  53. Rottman JW, Simpson JE (1983) Gravity currents produced by instantaneous releases of a heavy fluid in a rectangular channel. J Fluid Mech 135:95–110

    Article  Google Scholar 

  54. Shin JO, Dalziel BS, Linden PF (2004) Gravity currents produced by lock exchange. J Fluid Mech 521:1–34

    Article  Google Scholar 

  55. Simpson J (1972) Effects of the lower boundary on the head of a gravity current. J Fluid Mech 53(4):759–768

    Google Scholar 

  56. Simpson JE (1997) Gravity currents: in the environment and the laboratory, 2nd edn. Cambridge University Press, New York

    Google Scholar 

  57. Simpson J, Britter RE (1979) The dynamics of the head of a gravity current advancing over a horizontal surface. J Fluid Mech 93(3):477–495

    Article  Google Scholar 

  58. Thomas LP, Dalziel SB, Marino BM (2003) The structure of the head of an inertial gravity current determined by particle-tracking velocimetry. Exp Fluids 34:708–716

    Article  Google Scholar 

  59. Tokyay T, Mohamed YA, Constantinescu G (2011) Effect of Reynolds number on the propagation of the lock exchange gravity currents in a porous medium. In: Proceedings of 34th IAHR congress, Brisbane, Australia

  60. Ungarish M, Zemach T (2005) On the slumping of high Reynolds number gravity currents in two-dimensional and axisymmetric configurations. Eur J Mech B/Fluids 24:71–90

    Article  Google Scholar 

  61. Vanoni VA (ed) (1975) Sedimentation engineering, manuals and reports on engineering practice no. 54. American Society of Civil Engineers, New York

  62. Wells MG (2007) Influence of Coriolis forces on turbidity currents and their sediment patterns. Proceedings of Euromech colloquium

  63. Zhu JB, Lee CB, Chen GQ, Lee JHW (2006) PIV observation of instantaneous velocity structure of lock release gravity currents in the slumping phase. Commun Nonlinear Sci Numer Simul 11:262–270

    Article  Google Scholar 

Download references

Acknowledgments

This research was supported by the European Fund for Economic and Regional Development (FEDER) through the Program Operational Factors of Competitiveness (COMPETE) and National Funds through the Portuguese Foundation for Science and Technology (FCT) with the research project PTDC/ECM/099752/2008, FCOMP 01 0124 FEDER 009735 and the research grant SFRH/BD/48705/2008. Acknowledgments are due to Alexandre Sousa for helping in data interpretations. The authors would like to thank the reviewers for the comments and suggestions that certainly improved the content of the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Helena I. S. Nogueira.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nogueira, H.I.S., Adduce, C., Alves, E. et al. Dynamics of the head of gravity currents. Environ Fluid Mech 14, 519–540 (2014). https://doi.org/10.1007/s10652-013-9315-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10652-013-9315-2

Keywords

Navigation