Published September 1988
| Published
Journal Article
Open
Two-dimensional superharmonic stability of finite-amplitude waves in plane Poiseuille flow
- Creators
- Pugh, J. D.
- Saffman, P. G.
Chicago
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Abstract
In recent work on shear-flow instability, the tacit assumption has been made that the two-dimensional stability of finite-amplitudes waves in plane Poiseuille flow follows a simple and well-understood pattern, namely one with a stability transition at the limit point in Reynolds number. Using numerical stability calculations we show that the application of heuristic arguments in support of this assumption has been in error, and that a much richer picture of bifurcations to quasi-periodic flows can arise from considering the two-dimensional superharmonic stability of such a shear flow.
Additional Information
© 1988 Cambridge University Press. Received 28 May 1987 and in revised form 8 December 1987. We wish to acknowledge a number of helpful discussions with Steve Wiggins and Michael Landman. This work was supported by the Office of Naval Research (Grant N00014-85-K-0205) and the Department of Energy, Office of Energy Sciences (DE-AS03-76ER-72012), Applied Mathematical Sciences (KC-07-01-01).Attached Files
Published - twodimensional_superharmonic_stability_of_finiteamplitude_waves_in_plane_poiseuille_flow.pdf
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twodimensional_superharmonic_stability_of_finiteamplitude_waves_in_plane_poiseuille_flow.pdf
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Additional details
- Eprint ID
- 79688
- Resolver ID
- CaltechAUTHORS:20170801-114056980
- Office of Naval Research (ONR)
- N00014-85-K-0205
- Department of Energy (DOE)
- DE-AS03-76ER-72012
- Department of Energy (DOE)
- KC-07-01-01
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2017-08-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field