Fluid Dynamics pp 291-321 | Cite as

Rotating Fluids

Part of the Graduate Texts in Physics book series (GTP)


The most spectacular effect of rotation on a fluid flow is certainly the huge hurricanes surging up in the Earth’s atmosphere when the waters of the ocean are warm enough. These huge flows, so typical in pictures of the Earth, would not exist if the Earth were not rotating. They owe their existence to the Coriolis acceleration.


Rossby Wave Coriolis Force Boundary Layer Flow Ekman Layer Rossby Number 
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.


  1. Angot, A. (1949, 1972). Compléments de mathématiques. Paris: Masson.Google Scholar
  2. Bryan, G. (1889). The waves on a rotating liquid spheroid of finite ellipticity. Philosophical Transactions of the Royal Society London, 180, 187–219.ADSCrossRefGoogle Scholar
  3. Duck, P. & Foster, M. (2001). Spin-Up of Homogeneous and Stratified Fluids. Annual Review of Fluid Mechanics, 33, 231–263.ADSCrossRefGoogle Scholar
  4. Emanuel, K. (1991). The theory of hurricanes. The Annual Review of Fluid Mechanics, 23, 179.ADSCrossRefGoogle Scholar
  5. Greenspan, H. P. (1969). The theory of rotating fluids. Cambridge: Cambridge University Press.Google Scholar
  6. Longuet-Higgins, M. S. (1964). Planetary waves on a rotating sphere. Proceedings of the Royal Society of London, A279, 446–473.Google Scholar
  7. Pedlosky, J. (1979). Geophysical fluid dynamics. New York: Springer.CrossRefzbMATHGoogle Scholar
  8. Rieutord, M. (2001). Ekman layers and the damping of inertial r-modes in a spherical shell: application to neutron stars. The Astrophysical Journal, 550, 443–447.ADSCrossRefGoogle Scholar
  9. Rieutord, M., Georgeot, B. & Valdettaro, L. (2001). Inertial waves in a rotating spherical shell: Attractors and asymptotic spectrum. The Journal of Fluid Mechanics, 435, 103–144.ADSCrossRefzbMATHMathSciNetGoogle Scholar
  10. Roberts, P. & Stewartson, K. 1963 On the stability of a Maclaurin spheroid of small viscosity. The Astrophysical Journal, 137, 777–790.ADSCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institut de Recherche en Astrophysique et PlanétologieUniversité Paul SabatierToulouseFrance

Personalised recommendations