Abstract
It has been shown that turbulent flows are greatly affected by streamline curvature. In spite of this and the fact that curved shear flows are frequently encountered in engineering applications, the predictions of such flows are relatively less developed than the predictions of two-dimensional plane flows. Recently, various attempts were made by different investigators; however, their methods are only successful when the product of the boundary layer thickness to the local surface curvature |kδ| is ∼0.05. The present paper investigates the more general case where 0.1≤|kδ|≤0.5. Results show that the calculated boundary-layer characteristics for arbitrary free stream conditions are in good agreement with measurements.
Zusammenfassung
Es ist gezeigt worden, dass turbulente Strömungen durch eine stromlinienförmige Krümmung stark beeinflusst werden. Trotzdem und trotz der Tatsache, dass gekrümmte Randströmungen häufig bei technischen Anwendungen gefunden werden, sind die Vorhersagen solcher Strömungen verhältnismässig weniger entwickelt als die Vorhersagen zweidimensionaler ebener Strömungen. In letzter Zeit sind von verschiedenen Forschern Versuche in dieser Richtung unternommen worden; jedoch waren ihre Methoden nur dann erfolgreich, wenn das Verhältnis der Grenzschichtdicke zur bestimmten örtlichen Oberflächenkrümmung |kδ|∼0,05 ist. Die vorgelegte Arbeit untersucht den allgemeineren Fall, bei dem 0,1≤|kδ|≤0,5 ist. Die Resultate zeigen, dass sich die berechneten Grenzschichteigenschaften für beliebig freie Strömungsbedingungen in befriedigender Uebereinstimmung mit den Messungen befinden.
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So, R.M.C., Mellor, G.L. Turbulent boundary layers with large streamline curvature effects. Journal of Applied Mathematics and Physics (ZAMP) 29, 54–74 (1978). https://doi.org/10.1007/BF01797303
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DOI: https://doi.org/10.1007/BF01797303