Advertisement

Turbulent Diffusion in the Atmosphere

  • Manfred WendischEmail author
  • Armin Raabe
Chapter

Abstract

This chapter deals with an approach towards a physical description of the spreading of pollution in a turbulent atmosphere. We may witness this phenomenon quite commonly by, e.g., following the smoke of a chimney or the steam emerging from a power plant. It is remarkable that the equations to quantify atmospheric turbulence reveal close similarities with the formalism provided by the Fick’s diffusion laws. This is not only true for passive constituents (like smoke or moisture) but also for the turbulent diffusion of heat and momentum. Modelling of atmospheric turbulences, however, is still based on two conceptions which describe the same phenomenon from different perspectives. The development of an all-embracing view has thus remained a challenging task for the future.

References

  1. 1.
    O. Reynolds, Philos. Trans. R. Soc. Lond. A 186, 123–164 (1894)ADSCrossRefGoogle Scholar
  2. 2.
    D. Etling, Theoretische Meteorologie, eine Einführung (Vieweg, 1996)Google Scholar
  3. 3.
    J.M. Stockie, SIAM Rev. 53(2), 349–372 (2011)MathSciNetCrossRefGoogle Scholar
  4. 4.
    P. Hupfer, W. Kuttler (eds.), Witterung und Klima, 12th edn. (Teubner Vlg, Wiesbaden, 2006)Google Scholar
  5. 5.
    L. Boussinesq, Theorie de l’ecoulement tourbillonnant (Paris, 1897)Google Scholar
  6. 6.
    L. Prandtl, Z. angew. Math. u. Mech. 5, 136–139 (1925)Google Scholar
  7. 7.
    Th. v. Karman, Nachr. Akad. Wiss. Göttingen, Math.-phys. Kl. 58–76 (1930)Google Scholar
  8. 8.
    H.Z. Baumert, Universal equations and constants of turbulent motion. Phys. Scr. T155 014001, 12 pp (2013). https://doi.org/10.1088/0031-8949/2013/T155/014001
  9. 9.
    L.F. Richardson, Weather Prediction by Numerical Process (Cambridge University Press, 1922)Google Scholar
  10. 10.
    A.N. Kolmogorov, Dissipation of energy in locally isotropic turbulence. Dokl. Akad. Nauk SSSR 32, 8–16 (1941)ADSMathSciNetzbMATHGoogle Scholar
  11. 11.
    H. Kraus, Grundlagen der Grenzschicht-Meteorologie (Springer, 2008)Google Scholar
  12. 12.
    A.S. Monin, A.M. Obukhov, Basic laws of turbulent mixing in the surface layer of the atmosphere. Tr. Akad. Nauk. SSSR Geophiz. Inst. 24, 163–187 (1954)Google Scholar
  13. 13.
    E.W. Bierly, E.W. Hewson, Some restrictive meteorological conditions to be considered in design of stacks. J. Appl. Meteorol. 1, 383–390 (1962)ADSCrossRefGoogle Scholar
  14. 14.
    P. Sagaut, Large Eddy Simulation for Incompressible Flows—An Introduction, 3rd edn. (Springer, 2006)Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Faculty of Physics and Earth SciencesLeipzig Institute for Meteorology, University of LeipzigLeipzigGermany

Personalised recommendations