Advertisement

Fluid Dynamics

, Volume 41, Issue 2, pp 224–236 | Cite as

Formation of azimuthal flows driven by a mass source-sink system in a rotating paraboloid

  • M. A. Zhvaniya
  • M. V. Kalashnik
  • V. O. Kakhiani
  • Dzh. I. Nanobashvili
  • K. I. Patarashvili
  • S. Dzh. Tsakadze
Article

Abstract

The process of formation of azimuthal flows generated by a mass source-sink system in a shallow water layer on the surface of a rotating paraboloid is investigated theoretically and experimentally. The calculations are carried out within the framework of the shallow-water equations with allowance for bottom friction. Asymptotic solutions describing the process of establishment of steady-state azimuthal flows which takes place after instantaneous initiation of the source-sink system are constructed. It is shown that theory and experiment are in satisfactory agreement.

Keywords

shallow water theory Ekman boundary layer azimuthal flows mass source-sink method 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M. V. Nezlin and E. N. Snezhkin, Rossby Vortices and Spiral Structures [in Russian], Nauka, Moscow (1990).Google Scholar
  2. 2.
    R. Hide, “On source-sink flows in a rotating fluid,” J. Fluid. Mech., 32, Pt. 4, 727–764 (1968).ADSGoogle Scholar
  3. 3.
    D. Yu. Manin and Yu. L. Chernous’ko, “Experimental investigation of the stability of a quasi-two-dimensional jet flow generated in a rotating fluid by the source-sink method,” Izv. Akad. Nauk SSSR. Fizika Atmosfery i Okeana, 26, No. 5, 483–492 (1990).ADSGoogle Scholar
  4. 4.
    F. V. Dolzhanskii, V. A. Krymov, and D.Yu. Manin, “Stability and vortex structures of quasi-two-dimensional shear flows,” Usp. Fiz. Nauk, 160, No. 7, 1–47 (1990).Google Scholar
  5. 5.
    D. A. Bennetts and W. D. N. Jackson, “Source-sink flows in a rotating annulus: a combined laboratory and numerical study,” J. Fluid. Mech., 66, Pt. 4, 689–705 (1974).CrossRefADSGoogle Scholar
  6. 6.
    S. D. Danilov and I. A. Sazonov, “Calculation of an azimuthal flow generated in a rotating vessel by the source-sink method,” Izv. Ros. Akad. Nauk. Fizika Atmosfery i Okeana, 35, No. 3, 344–355 (1999).Google Scholar
  7. 7.
    H. P. Greenspan, The Theory of Rotating Fluids, Cambridge University Press, Cambridge (1968).Google Scholar
  8. 8.
    M. V. Kalashnik, “Vortex funnel formation by a mass sink within the shallow-water model,” Fluid Dynamics, 39, No. 2, 275–285 (2004).MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • M. A. Zhvaniya
  • M. V. Kalashnik
  • V. O. Kakhiani
  • Dzh. I. Nanobashvili
  • K. I. Patarashvili
  • S. Dzh. Tsakadze

There are no affiliations available

Personalised recommendations