Abstract
In this paper we study the problem of the boundary layer growth on a circular cylinder in a planar stagnation flow by the method of inner and outer expansions at small times and for finite but large Reynolds numbers. The emphasis is on the influence of the plane wall on the boundary layer detachment from the cylinder and the interaction between the cylinder and the flow. Certain correlations between some of the basic parameters are shown graphically.
Zusammenfassung
In dieser Arbeit wird das Anwachsen der Grenzschicht um einen kreisrunden Zylinder in einer ebenen Staupunktströmung behandelt. Verwendet wird die Methode der inneren und äußeren Entwicklung für große Reynoldssche Zahlen und kurze Zeiten. Betont wird der Einfluß einer ebenen Grenzplatte auf die Ablösung der Grenzschicht, und der gegenseitige Einfluß von Zylinder und Strömung. Gewisse Abhängigkeiten zwischen den Hauptparametern des Problems wurden auch graphisch dargestellt.
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References
H. Blasius,Grenzschichten in Flüssigkeiten mit kleiner Reibung, Z. Math. Phys.56, 1 (1908).
S. Goldstein and L. Rosenhead,Boundary layer growth, Proc. Cambr. Phil. Soc.32, 392 (1936).
H. Görtler,Verdrängungswirkung der laminaren Grenzschicht und Druckwiderstand, Ing. Arch.14, 1 (1944).
E. Watson,Boundary layer growth, Proc. Roy. Soc.A 231, 104 (1955).
M. van Dyke,Perturbation methods in fluid mechanics (1964).
C-Yi Wang,Separation and stall of an impulsively started elliptic cylinder, J. Appl. Mech.,E 34, No. 4, 823 (1967).
Z. Zapryanov,Boundary layer growth around a parabolic cylinder, Theor. and Appl. Mech., BAS2, 5 (1974).
S. Slavchev,Boundary layer growth on a circular cylinder, Theor. and Appl. Mech., BAS4, 49 (1975).
G. Simeonov,On the motion from rest of a class of cylinders. Elliptic cylinder case. Theor. and Appl. Mech., BAS1, 64 (1977).
G. Jeffery,The rotation of two circular cylinders in a viscous fluid. Proc. Roy. Soc.A 101, 169 (1922).
Y. Takaisi,The forces on a circular cylinder moving with low speeds in a semi-infinite viscous liquid bounded by a plane wall, J. Phys. Soc. Japan10, Nr. 5, 407 (1955).
S. Wakiya,Application of bipolar coordinates to the two-dimensional creeping motion of a liquid: II. Some problems for two circular cylinders in viscous fluid. J. Phys. Soc. Japan39, Nr. 6, 1603 (1975).
A. M. J. Davis and M. E. O'Neill,Separation in a slow linear flow past a cylinder and a plane, J. Fluid Mech.81, 3, 551 (1977).
J. M. Dorrepaal and M. E. O'Neill,The existence of free eddies in a streaming Stokes flow, Q. J. Mech. Appl. Math.XXXII, Pt. 2, 95 (1979).
D. Telionis,Unsteady viscous flows, Springer-Verlag, New York-Heidelberg-Berlin 1981.
I. Proudman and K. Johnson,Boundary layer growth near a rear stagnation point, J. Fluid Mech.12, 2, 161 (1962).
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Zapryanov, Z., Lambova, I. Boundary layer growth on a circular cylinder in a semi-infinite fluid. Z. angew. Math. Phys. 37, 176–193 (1986). https://doi.org/10.1007/BF00945081
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DOI: https://doi.org/10.1007/BF00945081