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Modelling of Low-Dimensional, Incompressible, Viscous, Rotating Fluid Flow

  • E. A. Christensen
  • J. N. Sørensen
  • M. Brøns
  • P. L. Christiansen
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)

Abstract

This presentation introduces a low-dimensional model for an incompressible, viscous, rotating fluid flow in a cylindrical vessel. The low-dimensional model is formed by projecting the transport equations on some subspace, spanned by known solutions to the discretized Navier-Stokes equations. Using the software package PATH, a program that analyses finite non-linear ODE-systems, such as our low-dimensional model, we find the bifurcation path with the Reynolds number as modelparameter. Thus, the transition from a stationary to a periodic solution in physical space is recognized as a super-critical Hopf-bifurcation in low-dimensional space.

Further aspects are to determine the bifurcations in space for all aspect ratios, and even further to give the dynamical concepts of a given fluid flow system.

Keywords

Reynolds Number Periodic Solution Transport Equation Critical Reynolds Number Cylindrical Vessel 
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

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • E. A. Christensen
    • 1
  • J. N. Sørensen
    • 2
  • M. Brøns
    • 3
  • P. L. Christiansen
    • 1
  1. 1.Laboratory of Applied Mathematical PhysicsThe Technical University of DenmarkLyngbyDenmark
  2. 2.Department of Fluid MechanicsThe Technical University of DenmarkLyngbyDenmark
  3. 3.Mathematical InstituteThe Technical University of DenmarkLyngbyDenmark

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