Model Systems for Long-Scale Convection

  • P. Metzener
  • S. H. Davis
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 41)


The Lorenz equations [1], derived as a severe truncation of the equations governing Bénard convection, also govern convection in vertical, slender fluid-filled loops [2]. Experiments [3] on such loops are in qualitative agreement with the predictions based on the Lorenz equations. The states seen are pure conduction, steady convection and temporal chaos.


Cylindrical Shell Prandtl Number Rayleigh Number Spatial Transition Bifurcation Structure 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • P. Metzener
    • 1
  • S. H. Davis
    • 1
  1. 1.Department of Engineering Sciences and Applied MathematicsNorthwestern University, Technological InstituteEvanstonUSA

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