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Discrete vortices in the wake of various profiles in subsonic and supersonic two-dimensional gas flow

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Abstract

The Mach number dependence of the Strouhal number, the frequency of discrete vortices, the vortex velocity, and other parameters are determined in the wake of wedges and flat plates for low angles of attack. The studies were made using high-speed motion-picture photography through a Schlieren system and with photomultipliers. The results are presented in tabular and graphical form.

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Abbreviations

h:

transverse distance

l :

longitudinal distance between vortices

V∞ :

freestream velocity in m/sec

nv :

vortex frequency for one row of vortex street in sec

M∞ :

freestream Mach number

S1 :

Strouhal number based on projection of the model onto the plane perpendicular to the freestream direction

S2 :

Strouhal number calculated from the wake neck width d2 for M∞>1

R:

Reynolds number calculated from d

R* :

critical Reynolds number

θ :

model apex angle

α:

angle of attack

L:

length in flow direction in mm

References

  1. O. M. Kuznetsov and S. G. Popov, “Vortices in the two-dimensional wake behind a cylinder”, Izv. AN SSSR, MZhG [Fluid Dynamics], no. 2, 1967.

  2. U. Domm, “Ein Beitrag zur Stabilitätstheorie der Wirbelstrassen under Berücksichtigung endlicher und zeitlicher Wirbelkerndurchmesser”, Ingr-Arch., 22, no. 6, 1954.

  3. R. Wille, “Strömungserscheinungen in Übergangsgebiet von georgneter zu ungeorgneter Bewegung”, in: Jahrbuch der Schiffbautechnischen Gesselschaft, no. 6, 1952.

  4. V. I. Yudovich, “Example of the origin of secondary steady or periodic flow with loss of stability of the laminar flow of a viscous incompressible fluid”, PMM, vol. 29, no. 3, 1965.

  5. N. N. Brushlinskaya, “On the behavior of the solutions of the hydrodynamic equations on passing through the critical value of the Reynolds number”, DAN SSSR, vol. 162, no. 4, 1965.

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Authors and Affiliations

  1. Moscow

    O. M. Kuznetsov & S. G. Popov

Authors
  1. O. M. Kuznetsov
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  2. S. G. Popov
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Additional information

The author wishes to thank G. I. Petrov for his interest in the study and his advice.

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Kuznetsov, O.M., Popov, S.G. Discrete vortices in the wake of various profiles in subsonic and supersonic two-dimensional gas flow. Fluid Dyn 3, 113–118 (1968). https://doi.org/10.1007/BF01029551

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  • DOI: https://doi.org/10.1007/BF01029551

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