The Effect of Heat Transfer on Flow Stability
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 asymptotic approach
Boundary layers; linear stability theory
Other flows; linear stability theory
Nonlinear stability theory
KeywordsHeat Transfer Heat Mass Transfer Laminar Boundary Layer Critical Reynolds Number Flow Stability
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