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On the curvature of compressible boundary layer flows near separation

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Summary

Oswatitsch's analytical expression for the slope of a viscous flow separation or reattachment streamline is shown to be consistent with detailed experimental data on a supersonic boundary layer flow past a compression corner. An extension of his analysis is then given which yields a comparable new relation for the streamlinecurvature just above separation in either laminar or turbulent two-dimensional compressible boundary layer flows. This result is applied to examine the possible occurrence of Görtler streamwise vortices due to such curvature.

Zusammenfassung

Es wird gezeigt, daß die analytische Beziehung von Oswatitsch für den Neigungswinkel einer zähflüssigen Strömungsablösung (oder das Wiederanlegen), in Übereinstimmung ist mit detaillierten Versuchsergebnissen an einer Überschall-Grenzschichtströmung längs einer Kompressionsecke. Darüber hinaus wird eine Erweiterung dieser Theorie angegeben, welche eine vergleichbare Beziehung für die Stromlinienkrümmung im Bereich über dem Ablösepunkt, sowohl für laminare als auch turbulente zweidimensionale Grenzschichtströmung gibt. Dieses Ergebnis wird zu einer Abschätzung möglichen Auftretens von Görtlerschen Wirbeln in Strömungsrichtung infolge dieser Krümmung verwendet.

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References

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Author notes

  1. G. R. Inger (Humboldt Senior Research Fellow)

    Present address: Dept. of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Va., USA

Authors and Affiliations

  1. DFVLR-AVA, Göttingen

    G. R. Inger (Humboldt Senior Research Fellow)

Authors
  1. G. R. Inger
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Additional information

Based on work supported partially by the US Air Force Office of Scientific Research under Contract F49620-76-C-0013 and by the Alexander Humboldt Foundation.

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Inger, G.R. On the curvature of compressible boundary layer flows near separation. Journal of Applied Mathematics and Physics (ZAMP) 28, 1027–1035 (1977). https://doi.org/10.1007/BF01601670

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  • DOI: https://doi.org/10.1007/BF01601670

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