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| Titel |
Chaotic behavior in the flow along a wedge modeled by the Blasius equation |
| VerfasserIn |
B. Basu, E. Foufoula-Georgiou, A. S. Sharma |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 18, no. 2 ; Nr. 18, no. 2 (2011-03-08), S.171-178 |
| Datensatznummer |
250013892
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| Publikation (Nr.) |
 copernicus.org/npg-18-171-2011.pdf |
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| Zusammenfassung |
| The Blasius equation describes the properties of steady-state two dimensional
boundary layer forming over a semi-infinite plate parallel to a
unidirectional flow field. The flow is governed by a modified Blasius
equation when the surface is aligned along the flow. In this paper, we
demonstrate using numerical solution, that as the wedge angle increases,
bifurcation occurs in the nonlinear Blasius equation and the dynamics becomes
chaotic leading to non-convergence of the solution once the angle exceeds a
critical value of 22°. This critical value is found to be in agreement
with experimental results showing the development of shock waves in the
medium and also with analytical results showing multiple solutions for wedge
angles exceeding a critical value. Finally, we provide a derivation of the
equation governing the boundary layer flow for wedge angles exceeding the
critical angle at the onset of chaos. |
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