On Some Properties of Three-dimensional Mixing Systems

  • A. Adrover
  • S. Cerbelli
  • M. Giona
Conference paper


This article develops some general observations on the statistical, geometrical and dynamic properties of three-dimensional autonomous and periodically forced mixing systems. The main geometrical differences between the two- dimensional and three-dimensional cases, and between autonomous and time- periodic velocity fields are discussed in detail. Although the article makes use exclusively of model systems of three-dimensional flows, the results obtained give useful hints to approach a global characterization of mixing in types of industrial equipment such as stirred vessels.


Velocity Field Surface Element Topological Entropy Material Line Global Bifurcation 


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Copyright information

© Springer-Verlag Italia, Milan 2002

Authors and Affiliations

  • A. Adrover
    • 1
  • S. Cerbelli
    • 1
  • M. Giona
    • 1
  1. 1.Dipartimento di Ingegneria ChimicaUniversità di Roma “La Sapienza”RomaItaly

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