Mathematical modelling of turbulence in estuaries

  • W. Rodi
Conference paper
Part of the Lecture Notes on Coastal and Estuarine Studies book series (COASTAL, volume 1)

Summary

The paper discusses model assumptions about the turbulent transport terms appearing in the basic equations governing the distribution of velocity, temperature and concentration of salt or other species in estuaries. Fairly crude assumptions can be made about the terms representing the horizontal transport while the vertical transport terms require more refined modelling. The main part of the paper consists of a review of presently available models for the latter; several calculation examples using various models are presented for estuaries and related flows.

Keywords

Eddy Viscosity Turbulent Transport Turbulent Motion Open Channel Flow Transport Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Flokstra, C., Generation of two-dimensional horizontal secondary currents, Delft Hydraulic Lab. Res. Rep. S 163, part II, (1976).Google Scholar
  2. 2.
    Rodi, W., Turbulence models and their application in hydraulics — A state of the art review, University of Karlsruhe Rep. SFB 80/T/127 (1978) — to appear 1979 as IAHR book publication.Google Scholar
  3. 3.
    Jobson, H.E. and Sayre, W.W., Vertical transfer in open channel flow, Journal of the Hydraulics Division, ASCE, HY3, pp. 703–724, (1970).Google Scholar
  4. 4.
    Prandtl, L., Über die ausgebildete Turbulenz, ZAMM, 5, p. 136, (1925).Google Scholar
  5. 5.
    Arya, S.P.S. and Plate, E.J., Modelling of the stably stratified atmospheric boundary layer, J.Atmos. Sci., 26, pp. 656–665, (1969).CrossRefGoogle Scholar
  6. 6.
    Busch, N.E., On the mechanics of atmospheric turbulence, Workshop on Mirco-meteorology, Am. Met. Soc., pp. 1–65, (1972).Google Scholar
  7. 7.
    Delft Hydraulic Laboratory, Momentum and mass transfer in stratified flows, Report on literature study R 880, (1974).Google Scholar
  8. 8.
    Munk, W.H. and Anderson, E.R., Notes on the theory of the thermocline, J. of Marine Research, Vol. 1, (1948).Google Scholar
  9. 9.
    Leonard. P.B., Vachtsevanos, G.J., Abood, K.A., Unsteady two-dimensional salinity instrusion model for an estuary, Proc. Int. Conf. on Applied Numerical Modelling, University of Southampton, England, (July 1977).Google Scholar
  10. 10.
    Smith, T.J. and Takhar, H.S., The calculation of oscillatory flow in open channels using mean turbulence energy models, Rept. Simon Engineering Labs, University of Manchester, (Nov. 1977).Google Scholar
  11. 11.
    Bobyleva, L.M., Zilitinkevich, S.S. and Laikhtman (Leichtmann) D.L., Turbulent regime in a thermally stratified planetary atmospheric boundary layer, International Colloquium on the Microstructure of the Atmosphere and the Effect of Turbulence on Radiowave Propagation, Moscow, (June 1965).Google Scholar
  12. 12.
    Launder, B.E. and Spalding, D.B., The numerical computation of turbulent flow, Comp. Meth. in Appl. Mech. and Eng., 3, p. 269, (1974).CrossRefGoogle Scholar
  13. 13.
    Launder, B.E., On the effect of a gravitational field on the turbulent transport of heat and momentum, J. Fluid Mech., 67, pp. 569–581, (1975).CrossRefGoogle Scholar
  14. 14.
    Hossain, M.S. and Rodi, W., Influence of buoyancy on the turbulence intensities in horizontal and vertical jets, in Heat Transfer and Turbulent Buoyant Convection, Studies and Applications for Natural Environment, Building, Engineering Systems, Spalding, D.B. and Afgan, N., eds. Hemisphere Publishing Corp., Washington, D.C., USA, (1977).Google Scholar
  15. 15.
    Hossain, M.S., Mathematische Modellierung von turbulenten Auftriebsströmungen, Ph.D. thesis, University of Karlsruhe, (1979).Google Scholar
  16. 16.
    Ellison, T.H. and Turner, J.S., Turbulent entrainment in stratified flows, J. Fluid Mech., 6, pp. 423–448, (1959).CrossRefGoogle Scholar
  17. 17.
    Chu, V.H. and Vanvari, M.R., Experimental study of turbulent stratified shearing flow, J. Hydraulics Div., ASCE, HY6, pp. 691–706, (June 1976).Google Scholar
  18. 18.
    Svensson, U., Flow investigation in the Öresund with a mathematical model (in Swedish), University of Lund, Dept. of Water Resources Engg., Sweden, Rep. No. 3001, (1976).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  • W. Rodi
    • 1
  1. 1.Sonderforschungsbereich 80University of KarlsruheKarlsruheGermany

Personalised recommendations