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The Ice/Ocean Interface

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Air-Ice-Ocean Interaction

At first glance it seems that describing heat exchange at the ice/ocean interface would be a reasonably straightforward exercise in applying the first law of thermodynamics. There are essentially only three important factors in the enthalpy balance: (i) upward (or downward) heat conduction within the ice column; (ii) heat flux from or to the underlying ocean; and (iii) latent heat associated with the phase change as ice grows or melts. However, salt greatly complicates the process. In the same way that spreading salt may help remove ice from a cold roadway, diffusion of salt from the ocean lowers the freezing point at the interface so that whenever the IOBL temperature is above freezing, upward heat transfer occurs. Melting occurs when upward heat flux from the ocean exceeds upward conduction in the ice column; freezing happens when the ice conduction exceeds ocean heat flux (which is why ice can and does form even when the upper ocean is warmer than its salinitydetermined freezing temperature).

In the initial efforts at modeling sea ice, the prescribed ocean heat flux was important in maintaining the modeled equilibrium mass balance. Maykut and Untersteiner (1971), for example, found that a constant 2W m−2 heat flux from the ocean was required for a realistic equilibrium thickness of Arctic pack ice. For Southern Ocean sea ice, Parkinson and Washington (1979) also utilized a constant ocean heat flux in their model, but found that it needed to be an order of magnitude greater—about 25W m−2. If the early models considered the ocean mixed layer at all, it was assumed that if sea ice was present, the mixed layer would remain at its freezing temperature, which in essence meant that any heat entering the upper ocean, either by absorption of solar radiation or upward conduction from below, would be instantaneously transferred to the ice.

When summer measurements of IOBL characteristics with modern instrumentation became available, it was obvious that the polar mixed layers could remain above freezing for extended periods. A smoothed time series of mixed-layer temperature at AIDJEX station Blue Fox, on the eastern side of the Beaufort Gyre over the Canadian Basin illustrates (Fig. 6.1) that even in the central Arctic with perennially high ice concentrations, a large amount of heat is stored in the upper ocean for at least a third of the year. The time series is more or less typical of the other AIDJEX stations, the SHEBA data in 1998, and several unmanned buoy drifts covering most of the Arctic Ocean. In this chapter we will explore how this storage comes about and what it implies about survivability of sea ice.

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References

  • Barenblatt, G. I.: Scaling, Self-Similarity, and Intermediate Asymptotics. Cambridge University Press, Cambridge (1996)

    Google Scholar 

  • Feltham, D. L., Untersteiner, N., Wettlaufer, J. S., and Worster, M. G.: Sea ice is a mushy layer. Geophys. Res. Lett., 33, L14501 (2006), doi: 10.1029/2006 GL026290

    Google Scholar 

  • Foldvik, A. and Kvinge, T.: Conditional instability of sea water at the freezing point. Deep-Sea Res., 21, 160–174 (1974)

    Google Scholar 

  • Gill, A. E.: Atmosphere-Ocean Dynamics. Academic, New York (1982)

    Google Scholar 

  • Hanson, A. M.: Studies of the mass budget of arctic pack ice floes. J. Glaciol., 41, 701–709 (1965)

    Google Scholar 

  • Hinze, J. O.: Turbulence, Second Edition. McGraw-Hill, New York (1975)

    Google Scholar 

  • Holland, M. M., Curry, J. A., and Schramm, J. L.: Modeling the thermodynamics of a sea ice thickness distribution 2. Sea ice/ocean interactions. J. Geophys. Res., 102, 23,093–23,107 (1997)

    Google Scholar 

  • Ikeda, M.: A mixed layer beneath melting sea ice in the marginal ice zone using a one-dimensional turbulent closure model, J. Geophys. Res., 91, 5054–5060 (1986).

    Article  Google Scholar 

  • Incropera, F. P. and DeWitt, D. P.: Fundamentals of Heat and Mass Transfer, Second Edition. Wiley, New York (1985)

    Google Scholar 

  • Jeffries, M. O., Schwartz, K., Morris, K., Veazey, A. D., Krouse, H. R., and Cushing, S.: Evidence for platelet ice accretion in Arctic sea ice development. J. Geophys. Res., 100(C6), 10905–10914 (1995)

    Article  Google Scholar 

  • Josberger, E. G.: Sea ice melting in the marginal ice zone, J. Geophys. Res., 88, 2841–2844 (1983)

    Article  Google Scholar 

  • Lewis, E. L. and Perkin, R. G.: Supercooling and energy exchange near the Arctic Ocean surface. J. Geophys. Res., 88 (C12), 7681–7685 (1983)

    Article  Google Scholar 

  • Maykut, G. A. and Untersteiner, N.: Some results from a time-dependent thermodynamic model of sea ice. J. Geophys. Res., 76, 1550–1575 (1971)

    Article  Google Scholar 

  • Maykut, G. A.: An introduction to ice in polar oceans, Report APL-UW 8510, Applied Physics Laboratory, University of Washington, Seattle, WA (1985)

    Google Scholar 

  • McPhee, M. G.: Turbulent stress at the ice/ocean interface and bottom surface hydraulic roughness during the SHEBA drift. J. Geophys. Res., 107 (C10) 8037 (2002), doi: 10.1029/2000JC000633

    Google Scholar 

  • McPhee, M. G., Maykut, G. A., and Morison, J. H.: Dynamics and thermodynamics of the ice/upper ocean system in the marginal ice zone of the Greenland Sea. J. Geophys. Res., 92, 7017–7031 (1987)

    Article  Google Scholar 

  • McPhee, M. G., Kikuchi, T., Morison, J. H., and Stanton, T. P.: Ocean-to-ice heat flux at the North pole environmental observatory. Geophys. Res. Lett., 30 (24) 2274 (2003), doi: 10.1029/2003GL018580

    Article  Google Scholar 

  • McPhee, M. G., Morison, J. H., and Nilsen, F.: Revisiting heat and salt exchange at the ice-ocean interface: Ocean flux and modeling considerations, J. Geophys. Res., doi:10.1029/2007JC004383, in press (2008)

    Google Scholar 

  • Mellor, G. L., McPhee, M. G., and Steele, M.: Ice-seawater turbulent boundary layer interaction with melting or freezing. J. Phys. Oceanogr., 16, 1829–1846 (1986)

    Article  Google Scholar 

  • Millero, F. J.: Freezing point of seawater, in: Eighth Report of the Joint Panel on Oceanographic Tables and Standards, UNESCO Tech. Pap. Mar. Sci. No. 28, Annex 6, UNESCO, Paris (1978)

    Google Scholar 

  • Notz, D.: Thermodynamic and fluid-dynamical processes in sea ice. Ph. D. dissertation, Trinity College (2005)

    Google Scholar 

  • Notz, D., McPhee, M. G., Worster, M. G., Maykut, G. A., Schlünzen, K. H., and Eicken, H.: Impact of underwater-ice evolution on Arctic summer sea ice. J. Geophys. Res., 108 (C7) 3223 (2003), doi:10.1029/2001JC001173

    Google Scholar 

  • Owen, P. R. and Thomson, W. R.: Heat transfer across rough surfaces. J. Fluid Mech., 15, 321–334 (1963)

    Article  Google Scholar 

  • Parkinson, C. L. and Washington, W. M.: A large-scale numerical model of sea ice. J. Geophys. Res., 84, 311–337 (1979)

    Article  Google Scholar 

  • Rothrock, D. A., Yu, Y., and Maykut, G. A.: Thinning of the Arctic ice cover. Geophys. Res. Lett., 26, 3469–3472 (1999)

    Article  Google Scholar 

  • Steele, M., Mellor, G. L., and McPhee, M. G.: Role of the molecular sublayer in the melting or freezing of sea ice. J. Phys. Oceanogr., 19, 139–147 (1989)

    Article  Google Scholar 

  • Untersteiner, N. and Sommerfeld, R.: Supercooled water and bottom topography of floating ice. J. Geophys. Res., 69, 1057–1062 (1964)

    Article  Google Scholar 

  • Weeks, W. F. and Ackley, S. F.: The growth, structure, and properties of sea ice. In: N. Untersteiner (eds.) The Geophysics of Sea Ice, pp. 9–164. Plenum, New York (1986)

    Google Scholar 

  • Wettlaufer, J. S., Worster, M. G., and Huppert, H. P.: Natural convection during solidification of an alloy from above with application to the evolution of sea ice, J. Fluid Mech., 344, 291–316 (1997)

    Article  Google Scholar 

  • Yaglom, A. M. and Kader, B. A.: Heat and mass transfer between a rough wall and turbulent flow at high Reynolds and Peclet numbers. J. Fluid Mech., 62, 601–623 (1974)

    Article  Google Scholar 

Download references

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(2008). The Ice/Ocean Interface. In: Air-Ice-Ocean Interaction. Springer, New York, NY. https://doi.org/10.1007/978-0-387-78335-2_6

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