When differential motion occurs between a sea ice cover and the upper ocean, momentum is exchanged across a turbulent boundary layer. If the heat and mass balance at the ice-ocean interface dictates ice growth or ablation, the turbulence will also transport heat and salt. This chapter introduces basic features of turbulence in natural flows, by describing general characteristics of turbulence; how it is measured in the somewhat unique under-ice environment; along with a discussion of how turbulent fluxes are estimated, including statistical significance and assumptions underlying the connections between time-series covariances and ensemble averages of turbulent fluctuation products. Simplified forms of the turbulent kinetic energy and scalar variance equations are described, and related to spectral characteristics including a length scale proportional to the inverse wave number at the peak in the vertical velocity spectrum.
KeywordsVertical Velocity Turbulent Kinetic Energy Eddy Viscosity Turbulent Heat Flux Inertial Subrange
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- Barenblatt, G. I.: Scaling, Self-Similarity, and Intermediate Asymptotics. Cambridge University Press, Cambridge (1996)Google Scholar
- Batchelor, G. K.: The Theory of Homogeneous Turbulence. Cambridge University Press, Cambridge (1967)Google Scholar
- Bloomfield, P.: Fourier Analysis of Time Series: An Introduction. Wiley, New York (1976)Google Scholar
- Bowker, A. H. and Lieberman, G. J.: Engineering Statistics. Prentice-Hall, Englewood Cliffs, NJ (1959)Google Scholar
- Emery, W. J. and Thomson, R. E.: Data Analysis Methods in Physical Oceanography, Second and Revised Edition. Elsevier, Amsterdam (2001)Google Scholar
- Frisch, U.: Turbulence. Cambridge University Press, Cambridge (1995)Google Scholar
- Hinze, J. O.: Turbulence, Second Edition. McGraw-Hill, New York (1975)Google Scholar
- Jenkins, G. M. and Watts, D. G.: Spectral Analysis and Its Applications. Holden-Day, San Francisco (1968)Google Scholar
- McPhee, M. G.: Greenland Sea Ice/Ocean Margin. EOS, Trans. Am. Geophys. Union, 64 (9), 82–83 (1983)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
- Tennekes, H. and Lumley, J. L.: A First Course in Turbulence. MIT, Cambridge, MA (1972)Google Scholar