The Effect of Heat Transfer on Flow Stability

  • H. Herwig
  • J. Severin
Conference paper
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 390)


In the complex physics of the transition process from laminar to turbulent flow often distinct stages such as linear instability, nonlinear instability and chaotic behaviour can be identified. Various methods may be used to control this process by external means. One such method is heat transfer, which especially in the early stage of development (linear instability), can have considerable influence on the whole transition process.

The aim of this article is to provide a theoretical method by which the influence of heat transfer on flow stability can be accounted for in a general way. The basic idea is to use an asymptotic expansion based on the Taylor series expansion (with respect to temperature) of the properties involved.

This approach has been described in part 6 of the chapter “Laminar boundary layers” for the case of the undisturbed mean flow.

The following content will be covered with this asymptotic approach:
  1. 1.


  2. 2.

    The asymptotic approach

  3. 3.

    Boundary layers; linear stability theory

  4. 4.

    Other flows; linear stability theory

  5. 5.

    Nonlinear stability theory



Heat Transfer Heat Mass Transfer Laminar Boundary Layer Critical Reynolds Number Flow Stability 
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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Copyright information

© Springer-Verlag Wien 1998

Authors and Affiliations

  • H. Herwig
    • 1
  • J. Severin
    • 1
  1. 1.Technical University of ChemnitzChemnitzGermany

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