Nonsteady stability of the flow around the circle in the Föppl model

Author:
Daniela Tordella

Journal:
Quart. Appl. Math. **53** (1995), 683-694

MSC:
Primary 76E99; Secondary 76C05

DOI:
https://doi.org/10.1090/qam/1359504

MathSciNet review:
MR1359504

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Abstract | References | Similar Articles | Additional Information

Abstract: The Föppl model for the incompressible flow about the circle is considered. The major feature of this model is the understanding of the convective mechanism that gives rise to the onset of the instability in the flow past the circle. Through this model the real flow is approximated by means of a potential field with two singular points, counter-rotating vortices, placed symmetrically behind the circle. This field configuration is topologically analogous to the actual steady field for Reynolds numbers below the critical value corresponding to the onset of the first instability. The intrinsic instability of the Föppl field to small perturbations may be described by a second-order linear dynamical system.

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DOI:
https://doi.org/10.1090/qam/1359504

Article copyright:
© Copyright 1995
American Mathematical Society