Summary
The boundary layer at the surface of an elliptic cylinder is considered, when the cylinder is set into uniform rotation about an axis through its centre, in a fluid that is otherwise at rest. It is shown, by numerical solution of the governing equations that, except for the limiting case of a circular cylinder, the solution develops a singularity at a finite time, which is interpreted as the onset of flow separation.
Zusammenfassung
Wir betrachten die Grenzschicht an der Oberfläche eines elliptischen Zylinders welcher in gleichmäβige Drehung um sein Zentrum in einer sonst ruhenden Flüssigkeit versetzt wird. Es wirel durch rechnerische Lösung der bestimmenen Gleichunglen gezeigt, daß mit Ausnahme des Grenzfalles eines kreisförmigen Zylinders die Lösung eine Singularität nach endlicher Zeit annimrut welche als Begin der Flussseparation interpreties wired.
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References
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S. J. Cowley, L. L. Van Dommelen and S. Lam,On the use of Lagrangian variables in descriptions of unsteady boundary layer separation. Phil. Trans R. Soc. Lond. A333, 343 (1990).
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Riley, N. The boundary layer on a rotating ellipse. Z. angew. Math. Phys. 47, 306–312 (1996). https://doi.org/10.1007/BF00916828
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DOI: https://doi.org/10.1007/BF00916828