Dissipative structures and nonlinear kinetics of the Marangoni-instability

  • H. Linde
  • P. Schwartz
  • H. Wilke
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 105)


The Marangoni-instability with the driving force of heat- or mass transfer across fluid interphases causes a self-amplification and self-organisation of movements at a fluid interphase which develop a spectrum of multiform dissipative structures. There exist manifold substructured spatial periodic systems of a hydrodynamic kind with a time depending behaviour which can degenerate to a typical relaxation oscillation. The latter differs completely from the spatial and temporal period structure of a two-parameter-oscillation with a wave-like behaviour,

The seinstabilities lead to a nonlinear acceleration in the mass- and heat transfer, Even the effect of Marangoni-stability is provable as a damping of the eddies of the forced surface renewal.

Under the condition of the balance between the shear stress and the surface tension gradient at a surface, which. is covered with adsorbed surface active agents, there exists at low viscous surfaces a more turbulence-analogic hydrodynamic instability with stationary spatial periodic and instationary spatial and temporal periodic dissipative structures.


Heat Transfer Surface Active Agent Dissipative Structure Relaxation Oscillation Surface Tension Gradient 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • H. Linde
    • 1
  • P. Schwartz
    • 1
  • H. Wilke
    • 2
  1. 1.Zentralinstitut für physikalische Chemie der Akademie der Wissenschaften der DDRBerlinDDR
  2. 2.Zentralinstitut für Mathematik und Mechanik der Akademie der Wissenschaften der DDRBerlinDDR

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