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Compressible swirling flow into a constant volume cylinder

  • W. Hautermann
  • H. -J. Thies
  • N. Peters
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 170)

Abstract

The adiabaticly compressed swirling flow into a cylinder is calculated numerically in the low Mach number limit. In this limit the spatial derivatives of pressure and density vanish, such that only the time variation of density in the continuity equation is taken into account. The velocity is decomposed into an irrotational compressible and a rotational incompressible part. This leads to two Poisson equations for the potential function and the stream function, respectively, which are solved by a relaxation method. In addition to these the vorticity equation and the equation for the tangential velocity are solved by an ADI-technique. The Poisson equation for the potential function has a constant r.h.s. and is solved before the time-dependent calculation. Therefore only three time-dependent p.d.e.s are to be solved rather than four as in the formulation in primitive variables.

Keywords

Poisson Equation Tangential Velocity Adiabatic Compression Vorticity Equation Primitive Variable 
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/.
    W. Hautermann: Numerische Berechnung einer kompressiblen, rotations symmetrischen Drallströmung in einen Zylinder mit seitlichem Einlaß, Diplomarbeit, Institut für Allgemeine Mechanik, RWTH Aachen, 1979.Google Scholar
  2. /2/.
    F. Bartels: Rotationssymmetrische Strömungen im Spalt konzentrischer Kugeln, Dissertation, Aachen 1978.Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • W. Hautermann
    • 1
  • H. -J. Thies
    • 1
  • N. Peters
    • 1
  1. 1.Institut für Allgemeine MechanikRWTH AachenWest-Germany

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