Acta Mechanica

, Volume 60, Issue 3–4, pp 241–250 | Cite as

Note on the similarity solutions of unsteady jets in rotating fluids

  • A. S. Narayanan
  • R. Devanathan
Article

Summary

The structure of time dependent jets in rotating fluid using similarity transformations is studied theoretically for which exact solutions are discussed. Approximate solution using a modified von Mises transformation is also explored.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Schlichting, H.: Laminare Strahlenausbreitung. ZAMM13, 260–263 (1933).Google Scholar
  2. [2]
    Bickley, W.: The plane jet. Phil. Mag.23 (7), 727–731 (1937).Google Scholar
  3. [3]
    Schneider, W.: Flow induced by jets and plumes. J. Fuid Mech.108, 55–65 (1981).Google Scholar
  4. [4]
    Schlichting, H.: Boundary layer theory, seventh edition. New York: McGraw Hill 1979.Google Scholar
  5. [5]
    Gadgil, S.: Structure of jets in rotating systems. J. Fluid Mech.47, 417–436 (1971).Google Scholar
  6. [6]
    Savage, S. B., Sobey, R. J.: Horizontal momentum jets in rotating basins. J. Fluid Mech.71, 755–768 (1975).Google Scholar
  7. [7]
    Peyret, R.: Unsteady evolution of a horizontal jet in a stratified fluid. J. Fluid Mech.78, 49–63 (1976).Google Scholar
  8. [8]
    Charney, J. G.: The Gulf stream as an inertial boundary layer. Proc. Natl. Acad. of Sciences of U.S.A.41, 731–740 (1955).Google Scholar
  9. [9]
    Goldstein, S.: Lectures on fluid mechanics, p. 152. New York: Interscience 1960.Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • A. S. Narayanan
    • 1
  • R. Devanathan
    • 2
  1. 1.Centre for Atmospheric SciencesIndian Institute of ScienceBangaloreIndia
  2. 2.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

Personalised recommendations