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New solutions of the Karman problem for rotating flows

  • P. J. Zandbergen
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 771)

Keywords

Angular Velocity Solution Curve Solution Branch Vortex Breakdown Delta Wing 
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.

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References

  1. [1]
    Bodonyi, R.J. On rotationally symmetric flow above an infinite rotating disk. J.F.M., 67, 657 (1975).CrossRefzbMATHGoogle Scholar
  2. [2]
    Zandbergen, P.J. and Dijkstra, D. Non unique solutions of the Navier-Stokes equations for the Karman swirling flow. J.Eng.Math., 11. 167 (1977).MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    Dijkstra, D. and Zandbergen P.J. Some further investigations on non unique solutions of the Navier-Stokes equations for the Karman swirling flow. Archives of Mechanics (Archiv. Mechanoki Slosowany), 30, 411 (1978).zbMATHGoogle Scholar
  4. [4]
    Holodniok, M.; Kubicek, M. and Hlavacek, V. Computation of the flow between two rotating coaxial disks. J.F.M., 81 (1977).Google Scholar
  5. [5]
    McLeod, J.B. The asymptotic form of solutions of Von Karman's swirling flow problem. Quarterly Journal of Mathematics (Oxford), 20 (1969).Google Scholar
  6. [6]
    McLeod, J.B. The existence of axially symmetric flow above a rotating disk. Proceedings of the Royal Society, A324 (1971).Google Scholar
  7. [7]
    Dijkstra, D. Some contributions to the solution of the rotating disk problem. Memorandum nr. 205, THT, TW (1978).Google Scholar
  8. [8]
    Van Hulzen, J.A. Production of exact Taylor coefficients for the rotating disk problem using an algebra system. Memorandum nr. 183, THT, TW (1977).Google Scholar
  9. [9]
    Benjamin, J.B. Theory of the vortex breakdown phenomenon. J.F.M. 14, 593 (1962).MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    Dijkstra, D. On the relation between adjacent inviscid cell type solutions to the rotating disk equations. Paper to be published shortly.Google Scholar
  11. [11]
    Craigie, J.A.I. A variable order multistep method for stiff systems of ordinary differential equations University of Manchester, N.A. Report 11, (1975).Google Scholar
  12. [12]
    Dijkstra, D. Schippers, H. and Zandbergen, J.P. On certain solutions of the non-stationary equations for rotating flow. Proceedings of the Sixth Intern. Conf. on Num. Methods in Fluid Dynamics. Tbilisi, (1978).Google Scholar
  13. [13]
    Bodonyi, R.J. On the unsteady similarity equations for the flow above a rotating disk in a rotating fluid. Q.Jl.Mech.appl.Math. Vol. XXXI, 461, (1978).Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • P. J. Zandbergen
    • 1
  1. 1.Twente University of TechnologyThe Netherlands

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