Skip to main content

Advertisement

Log in

Structure of a dense release produced by varying initial conditions

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

Abstract

Buoyancy driven flows such as gravity currents, present in nature and human made applications, are conveyors of particles or dissolved substances for long distances with clear implications for the environment. This transport depends on the triggering conditions of the current. Gravity currents are experimentally simulated under varying initial conditions by combining three different initial buoyancies and five volumes of dense fluid released. The horizontal and vertical structures of the gravity currents are analysed and it is shown that the variation on the initial configuration is conditioning for these. Vertical transport through the gravity current is influenced at the bottom by the solid wall over which the current flows, and at the upper interface by the contact with the ambient water. The relative contribution of shear stress at the bottom and at the upper interfaces are estimated and analysed in terms of the initial triggering conditions of the current; these two compete with the buoyancy, the driver of the current, determining mixing and entrainment. By using a proper parametrization, which accounts for both initial volume of release and location of the observation position relative to the lock, a relation between the resistance at the bottom and at the upper interfaces with the initial conditions of release (i.e. the lock-length) has been found; this is found to be independent of the initial density in the lock. The present study shows that the variation of the initial conditions have consequences on (1) the configuration of the currents and on (2) the hydrodynamics of the currents, including mass and momentum exchanges, which are in addition mutually dependent.

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

Similar content being viewed by others

References

  1. Adduce C, Sciortino G, Proietti S (2011) Gravity currents produced by lock exchanges: experiments and simulations with a two-layer shallow-water model with entrainment. J Hydraul Eng 138(2):111–121

    Article  Google Scholar 

  2. Ainslie B, Jackson P (2009) The use of an atmospheric dispersion model to determine influence regions in the Prince George, BC airshed from the burning of open wood waste piles. J Environ Manage 90(8):2393–2401

    Article  Google Scholar 

  3. Al-Majed AA, Adebayo AR, Hossain ME (2012) A sustainable approach to controlling oil spills. J Environ Manage 113:213–227

    Article  Google Scholar 

  4. Baas JH, McCaffrey WD, Haughton PDW, Choux C (2005) Coupling between suspended sediment distribution and turbulence structure in a laboratory turbidity current. J Geophys Res 110(C11). https://doi.org/10.1029/2004JC002668

  5. Blanckaert K (2010) Topographic steering, flow recirculation, velocity redistribution, and bed topography in sharp meander bends. Water Resour Res 46(9). https://doi.org/10.1029/2009WR008303

  6. Blanckaert K, Lemmin U (2006) Means of noise reduction in acoustic turbulence measurements. J Hydraul Res 44(1):3–17

    Article  Google Scholar 

  7. Bouffard D (2008) A new approach for studying small scale turbulence in the thermocline region of Lake of Geneva. Ph.D. thesis, Ecole polytechnique fédérale de Lausanne

  8. 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(C8). https://doi.org/10.1029/2007JC004645

  9. Chassaing P (2010) Mécanique des fluides. Cepadues éditions

  10. Csanady GT (1978) Turbulent interface layers. J Geophys Res Oceans 83(C5):2329–2342

    Article  Google Scholar 

  11. De Cesare G (1998) Alluvionnement des retenues par courants de turbidité

  12. De Cesare G, Beyer Portner NA, Boillat J-L, Schleiss AJ (1998) Modelling of erosion and sedimentation based on field investigation in Alpine hydropower schemes. In: Journal of proceedings of abstracts and papers, 3rd international conference on hydroscience and engineering, Cottbus/Berlin mechanics, vol 3

  13. Ellison T, Turner J (1959) Turbulent entrainment in stratified flows. J Fluid Mech 6(03):423–448

    Article  Google Scholar 

  14. Fer I, Lemmin U, Thorpe SA (2002) Winter cascading of cold water in Lake Geneva. J Geophys Res 107(C6)

  15. Fernández-Torquemada Y, Gónzalez-Correa JM, Loya A, Ferrero LM, Díaz-Valdés M, Sánchez-Lizaso JL (2009) Dispersion of brine discharge from seawater reverse osmosis desalination plants. Desalin Water Treat 5(1–3):137–145

    Article  Google Scholar 

  16. Fragoso A, Patterson M, Wettlaufer J (2013) Mixing in gravity currents. J Fluid Mech 734. https://doi.org/10.1017/jfm.2013.475

  17. Franca MJ, Brocchini M (2015) Turbulence in rivers. In: Rivers—physical, fluvial and environmental processes. Springer, pp 51–78

  18. Franca M, Lemmin U (2006) Eliminating velocity aliasing in acoustic doppler velocity profiler data. Meas Sci Technol 17(2):313

    Article  Google Scholar 

  19. Goring DG, Nikora VI (2002) Despiking acoustic doppler velocimeter data. J Hydraul Eng 128(1):117–126

    Article  Google Scholar 

  20. Hacker J, Linden P, Dalziel S (1996) Mixing in lock-release gravity currents. Dyn Atmos Oceans 24(1–4):183–195

    Article  Google Scholar 

  21. 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 

  22. Hallworth MA, Phillips JC, Huppert HE, Sparks RSJ (1993) Entrainment in turbulent gravity currents. Nature 362(6423):829–831

    Article  Google Scholar 

  23. Huppert HE (2006) Gravity currents: a personal perspective. J Fluid Mech 554:299–322

    Article  Google Scholar 

  24. Huppert HE, Simpson JE (1980) The slumping of gravity currents. J Fluid Mech 99(04):785–799

    Article  Google Scholar 

  25. Huppert HE, Woods AW (1995) Gravity-driven flows in porous layers. J Fluid Mech 292(1):55

    Article  Google Scholar 

  26. Hurther D, Lemmin U (2000) Shear stress statistics and wall similarity analysis in turbulent boundary layers using a high-resolution 3-D ADVP. IEEE J Ocean Eng 25(4):446–457

    Article  Google Scholar 

  27. Hurther D, Lemmin U (2001) A correction method for turbulence measurements with a 3D acoustic doppler velocity profiler. J Atmos Ocean Technol 18(3):446–458

    Article  Google Scholar 

  28. Johnson CG, Hogg AJ (2013) Entraining gravity currents. J Fluid Mech 731:477–508

    Article  Google Scholar 

  29. Kneller B, Bennett S, McCaffrey W (1999) Velocity structure, turbulence and fluid stresses in experimental gravity currents. J Geophys Res 104(C3):5381–5391

    Article  Google Scholar 

  30. Kneller B, Buckee C (2000) The structure and fluid mechanics of turbidity currents: a review of some recent studies and their geological implications. Sedimentology 47(s1):62–94

    Article  Google Scholar 

  31. Lemmin U, Rolland T (1997) Acoustic velocity profiler for laboratory and field studies. J Hydraul Eng 123(12):1089–1098

    Article  Google Scholar 

  32. Lofquist K (1960) Flow and stress near an interface between stratified liquids. Phys Fluids 3(2):158–175

    Article  Google Scholar 

  33. Lombardi V, Adduce C, Sciortino G, La Rocca M (2015) Gravity currents flowing upslope: laboratory experiments and shallow-water simulations. Phys Fluids 27(1):016602

    Article  Google Scholar 

  34. Lyn D, Stamou A, Rodi W (1992) Density currents and shear-induced flocculation in sedimentation tanks. J Hydraul Eng 118(6):849–867

    Article  Google Scholar 

  35. Manica R (2012) Sediment gravity flows: study based on experimental simulations. In: Schulz H (ed) Hydrodynamics-natural water bodies. InTech, available from http://www.intechopen.com/books/hydrodynamics-natural-water-bodies/sediment-gravity-flows-studybasedon-experimental-simulations

  36. Nogueira HI, Adduce C, Alves E, Franca MJ (2014) Dynamics of the head of gravity currents. Environ Fluid Mech 14(2):519–540

    Article  Google Scholar 

  37. Ooi SK, Constantinescu G, Weber L (2009) Numerical simulations of lock-exchange compositional gravity current. J Fluid Mech 635:361–388

    Article  Google Scholar 

  38. Ottolenghi L, Adduce C, Inghilesi R, Armenio V, Roman F (2016) Entrainment and mixing in unsteady gravity currents. J Hydraul Res 54(5):541–557

    Article  Google Scholar 

  39. Parker G, Garcia M, Fukushima Y, Yu W (1987) Experiments on turbidity currents over an erodible bed. J Hydraul Res 25(1):123–147

    Article  Google Scholar 

  40. Raffel M, Willert CE, Wereley S, Kompenhans J (2013) Particle image velocimetry: a practical guide. Springer, Berlin

    Google Scholar 

  41. 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 

  42. Schleiss AJ, Franca MJ, Juez C, De Cesare G (2016) Reservoir sedimentation. J Hydraul Res 54(6):595–614

    Article  Google Scholar 

  43. Sequeiros OE, Spinewine B, Beaubouef RT, Sun T, Garcia MH, Parker G (2010) Bedload transport and bed resistance associated with density and turbidity currents. Sedimentology 57(6):1463–1490

    Article  Google Scholar 

  44. Shin J, Dalziel S, Linden P (2004) Gravity currents produced by lock exchange. J Fluid Mech 521:1–34

    Article  Google Scholar 

  45. Simpson J (1987) Gravity currents in the environment and in the laboratory. Ellis Horwood, Chichester

    Google Scholar 

  46. Sveen JK (2004) An introduction to MatPIV v. 1.6. 1. Preprint series. Mech Appl Math. http://urn.nb.no/URN:NBN:no-23418

  47. Theiler Q, Franca MJ (2016) Contained density currents with high volume of release. Sedimentology 63(6):1820–1842

    Article  Google Scholar 

  48. Tokyay T, Constantinescu G, Meiburg E (2011) Lock-exchange gravity currents with a high volume of release propagating over a periodic array of obstacles. J Fluid Mech 672:570–605

    Article  Google Scholar 

  49. van Reeuwijk M, Krug D, Holzner M (2018) Small-scale entrainment in inclined gravity currents. Environ Fluid Mech 18(1):225–239

    Article  Google Scholar 

  50. Von Kármán T (1940) The engineer grapples with nonlinear problems. Bull Am Math Soc 46(8):615–683

    Article  Google Scholar 

  51. Whitham G, Fowler RG (1975) Linear and nonlinear waves. Phys Today 28:55

    Article  Google Scholar 

  52. Wirth A (2015) A guided tour through buoyancy driven flows and mixing. Unpublished doctoral dissertation, Univ. Grenoble Alpes

  53. Zhou S, McCorquodale J, Godo A (1994) Short circuiting and density interface in primary clarifiers. J Hydraul Eng 120(9):1060–1080

    Article  Google Scholar 

  54. Zordan J, Juez C, Schleiss AJ, Franca MJ (2018) Entrainment, transport and deposition of sediment by saline gravity currents. Adv Water Res. https://doi.org/10.1016/j.advwatres.2018.02.017

    Article  Google Scholar 

Download references

Acknowledgements

This research was funded by the European Project SEDITRANS funded by Marie Curie Actions, FP7-PEOPLE-2013-ITN-607394 (Multi partner—Initial Training Networks).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. Zordan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zordan, J., Schleiss, A.J. & Franca, M.J. Structure of a dense release produced by varying initial conditions. Environ Fluid Mech 18, 1101–1119 (2018). https://doi.org/10.1007/s10652-018-9586-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10652-018-9586-8

Keywords

Navigation