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Mixing in ice-covered lakes

Abstract

Mixing in ice covered lakes is caused by through-flow currents, oscillations of the ice cover and by convective currents induced by heat flow from the sediments or by solar radiation penetrating the ice. Mainly from studies in Swedish lakes, current velocities and mixing coefficients are quantified for the different processes generating water movement. Seiche movement caused by wind induced oscillations of the ice cover is found to be most efficient for the horizontal mixing giving coefficients of the order 100 cm2 s−1. The lateral dispersion in through-flow currents can be determined using standard formulas, but the dispersion coefficient is 1–2 orders of magnitude less than that for oscillation induced mixing. Convective mixing due to heat flow from the sediments lasts through the winter but is a very slow process. Convection caused by penetration of solar radiation is more effective, but this process is usually of importance only during the last month prior to break-up of the ice-cover.

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References

  • Alford, M. E. & E. C. Carmack, 1987. Observations on the cover and streamflow in the Yukon River near Whitehorse during 1983–84. Inland Waters Directorate Scientific Series 152, Environment Canada.

  • Bengtsson, L., 1980. Horizontal mixing in water quality modelling. Proc. 6th Nordic Hydrological Conference, Uppsala University, Dept. Physical Geography, Rep. 52: 401–416.

  • Bengtsson, L., 1986. Dispersion in ice-covered lakes. Nordic Hydrol. 17: 151–170.

    Google Scholar 

  • Bilello, M. A., 1968. Water temperatures in a shallow lake during ice formation, growth and decay. Wat. Resour. Res. 4: 749–760.

    Google Scholar 

  • Colman, J. A. & D. E. Armstrong, 1983. Horizontal diffusivity in a small ice-covered lake. Limnol. Oceanogr. 28: 1020–1026.

    Google Scholar 

  • Falkenmark, M. (ed.), 1973. Dynamic studies in Lake Velen. Int. Hydrol. Decade Sweden, Swedish National Research Council, Rep. 31.

  • Farmer, D. M., 1975. Penetrative convection in the absence of mean shear. Quart. J. r. Meteor. Soc. 101: 869–891.

    Article  Google Scholar 

  • Farmer, D. M. & E. Carmack, 1981. Wind mixing and restratification in a lake near the temperature of maximum density. J. phys. Oceanogr. 11: 1516–1533.

    Article  Google Scholar 

  • Fischer, H. B., E. J. List, R. C. Y. Koh, J. Imberger & N. H. Brooks, 1979. Mixing in inland and coastal waters. Academic Press.

  • Haamer, J., 1974. Current measurements with gelatin pendulous. Vatten 30: 57–65.

    Google Scholar 

  • Hamblin, P. F. & E. C. Carmack, 1990. On the rate of heat transfer between a lake and an ice sheet. Cold Regions Science and Technology 18: 173–182.

    Article  Google Scholar 

  • Harrison, B. F.,1863. On the solution of ice formed on inland waters. Am. J. Sci. Arts 35, Second Series.

  • IHD Swedish Lake Research Group 1975. Dynamic studies in lakes 1973–74, Swedish National Research Council. (In Swedish.)

  • Likens, G. E. & R. A. Ragotzkie, 1965. Vertical water motions in a small ice-covered lake. J. geophys. Res. 70: 2333–2344.

    Google Scholar 

  • Matthows, P. C. & S. I. Heaney, 1987. Solar heating and its influence on mixing in ice-covered lakes. Freshwat. Biol. 18: 135–149.

    Google Scholar 

  • Stigebrandt, A., 1978. Dynamics of an ice-covered lake with throughflow, Nordic Hydrology 9: 219–244.

    Google Scholar 

  • Svensson, T., 1987. Temperature and heat exchange in lakes during winter. Swedish Council for Building Research, R 97: 1987, 145 pp. (In Swedish.)

  • Svensson, U. & R. Larsson, 1980. A one dimensional numerical model study of some basic features of the flow in ice-covered lakes. J. Hydraulic Res. 18: 251–267.

    Google Scholar 

  • Tesaker, E., 1973. Horizontal cross-flow temperature gradients in a lake due to coriolis force, IAHS Publ. 109: 72–80.

    Google Scholar 

  • Virtanen, M., J. Forsius & J. Sarkkula, 1979. The ice covered circulation in Lake Pyhäjärvi near Tampere, Proc. Nordic Workshop Dynamics of Lakes, Norwegian Hydrological Committee, Rep. 2: 317–322.

    Google Scholar 

  • Yoshimura, S. A., 1937. A contribution to the knowledge of deep water temperatures of Japanese lakes, Part 2, Winter temperatures. Jap. J. Astron. Geophys. Trans., 14.

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Bengtsson, L. Mixing in ice-covered lakes. Hydrobiologia 322, 91–97 (1996). https://doi.org/10.1007/BF00031811

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  • DOI: https://doi.org/10.1007/BF00031811

Key words

  • currents
  • oscillations
  • through-flow
  • solar radiation
  • sediment heat flow
  • ice cover