Turbulence Scales for the Ice/Ocean Boundary Layer

Understanding the scales of turbulence in the IOBL is the central issue in developing reasonable models for transfer of properties between the ice cover and the underlying ocean. This chapter presents several examples from field observations that shed light on the impact of both stress and buoyancy on turbulence in the IOBL, and use them to develop a heuristic approach to specifying the mixing length. A key in this development is the apparent connection between the inverse wave number at the peak of the area-preserving w spectrum and the master length scale for turbulence. As discussed in Section 3.6, the concept was first explored for the IOBL using data from the 1972 AIDJEX Pilot Study (McPhee and Smith 1976). Figure 5.1, adapted from that work, shows our estimates of eddy viscosity based on admittedly crude analysis of the spectra observed during an AIDJEX storm, analyzed in the manner suggested by Busch and Panofsky (1968), and compared with calculations from one of the first attempts at large eddy simulation for the atmospheric boundary layer (Deardorff 1972). This was far from conclusive; however, later measurements tended to confirm that basic approach.


Mixed Layer Atmospheric Boundary Layer Friction Velocity Eddy Viscosity Turbulence Scale 
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  1. Busch, N. E. and Panofsky, H. A.: Recent spectra of atmospheric turbulence. Quart. J. R. Met. Soc., 94, 132–147 (1968)CrossRefGoogle Scholar
  2. Deardorff, J. W.: Numerical investigation of neutral and unstable planetary boundary layers. J. Atmos. Sci., 29, 91–115 (1972)CrossRefGoogle Scholar
  3. Edson, J. B., Fairall, C. W., Mestayer, P. G., and Larsen, S. E.: A study of the inertial-dissipation method for computing air-sea fluxes. J. Geophys. Res., 96, 10,689–10,711 (1991)CrossRefGoogle Scholar
  4. Hinze, J. O.: Turbulence, Second Edition. McGraw-Hill, New York (1975)Google Scholar
  5. McPhee, M. G.: On the turbulent mixing length in the oceanic boundary layer. J. Phys. Oceanogr., 24, 2014–2031 (1994)CrossRefGoogle Scholar
  6. McPhee, M. G.: Physics of early summer ice/ocean exchanges in the western Weddell Sea during ISPOL, Deep-Sea Res., II, doi:10.1016/j.dsr2.2007.12.022, in press (2008)Google Scholar
  7. McPhee, M. G. and Martinson, D. G.: Turbulent mixing under drifting pack ice in the Weddell Sea. Science, 263, 218–221 (1994)CrossRefGoogle Scholar
  8. McPhee, M. G. and Smith, J. D.: Measurements of the turbulent boundary layer under pack ice. J. Phys. Oceanogr., 6, 696–711 (1976)CrossRefGoogle Scholar
  9. McPhee, M. G. and Stanton, T. P.: Turbulence in the statically unstable oceanic boundary layer under arctic leads. J. Geophys. Res., 101, 6409–6428 (1996)CrossRefGoogle Scholar
  10. Morison, J. H., McPhee, M. G., and Maykut, G. A.: Boundary layer, upper ocean, and ice observations in the Greenland Sea marginal ice zone. J. Geophys. Res., 92, 6987–7011 (1987)CrossRefGoogle Scholar
  11. Morison, J. H. and McPhee, M. G.: Lead convection measured with and autonomous underwater vehicle. J. Geophys. Res., 103, 3257–3281 (1998)CrossRefGoogle Scholar

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