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Equilibrium turbulent flow in a slightly divergent channel

  • J. R. Ruetenik
  • S. Corrsin
Chapter

Summary

Hot-wire measurements have been made of some mean flow and turbulence properties of fully-developed, plane diffuser flow at a divergence half-angle of 1°. Comparison with parallel wall channel flow at the same Reynolds number shows large increases in turbulent energy level and average shear level, some reduction in skin friction and in mean velocity ratio near the walls.

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References

  1. [1]
    Dönch, F.: Divergente und konvergente turbulente Strömungen mit kleinen Öffnungswinkeln, Forsch. Arb. Geb. Ing. Wes., Helf 282, 1926.Google Scholar
  2. [2]
    Nikuradse, J.: Untersuchungen über die Strömungen des Wassers in konvergenten und divergenten Kanälen. Forsch. Geb. Ing. Wes., Heft 289, 1929.zbMATHGoogle Scholar
  3. [3]
    Clauser, F. IL: Turbulent Boundary Layers in Adverse Pressure Gradients, Jour. Aero. Sci., 21 (2), Feb. 1954.Google Scholar
  4. [4]
    Läufer, J.: Investigation of Turbulent Flow in a Two-Dimensional Channel. NACA Rept. 1053, 1951. (Supersedes NACA TN 2123.)Google Scholar
  5. [5]
    Ruetenik, J. R. : The Investigation of Equilibrium Flow in a Slightly Divergent Channel. Diss, for degree of Dr. Eng’g, The Johns Hopkins Univ., 1954 (final report for contract N-onr-248 (33), Rep. I-19 of Dept. of Mech. Engg).Google Scholar
  6. [6]
    Prandtl, L.: Über Flüssigkeitsbewegung bei sehr kleiner Reibung. Verh. III, Inter. Math. Kongr. Heidelberg, 1904 (see also, for example, vol 3 of “Aerodynamic Theory”, ed. by W. F. Durand, J. Springer, 1935).Google Scholar
  7. [7]
    Reynolds, O.: On the Dynamical Theory of Incompressible Viscous Fluids and the Determination of the Griterion. Phil. Trans. Roy. Soc. A, 186, 1895.Google Scholar
  8. [8]
    Corrsin, S.: Interpretation of Viscous Terms in the Turbulent Energy Equation. Jour. Aero. Sci., Reader’s Forum, Dec. 1953.Google Scholar
  9. [9]
    von Kármán, T.: Über laminare und turbulente Reibung. Z.A.M.M. Vol. l,No. 1, 1921.Google Scholar
  10. [10]
    Corrsin, S.: An Intergral Relation from the Turbulent Energy Equation. Jour. Aero. Sci., Reader’s Forum, Nov. 1951, pp. 773–774.Google Scholar
  11. [11]
    Kovásznay, L. S. G.: Development of Turbulence-Measuring Equipment. NACA TN 2839, Jan. 1953.Google Scholar
  12. [12]
    Taylor, G.I.: Statistical Theory of Turbulence. Proc. Roy. Soc. A 151, 1935.Google Scholar
  13. [13]
    Lin, C. C: On Taylor’s Hypothesis and the Acceleration Terms in the Navier-Stokes Equation. Quar. App. Math. Vol. X, No. 4, Jan. 1953 pp. 295–306.Google Scholar
  14. [14]
    Frenkiel, F. N.: Étude Statistique de la Turbulence Théorie de la Correlation avec Deux Fils Chauds non Compensés. C. R. Acad. Sci. (Paris) 222, 1946.Google Scholar
  15. [15]
    von Kármán, T., and Howarth, L.: On the Statistical Theory of Isotropic Turbulence. Proc. Roy. Soc. A, 164, 1938.Google Scholar
  16. [16]
    Laufer, J.: The Structure of Turbulence in Fully Developed Pipe Flow. NACA TN 2954, June 1953.Google Scholar
  17. [17]
    Prandtl, L.: Bericht über Untersuchungen zur ausgebildeten Turbulenz. Z.A.M.M., Bd. 5, Heft 2, Apr. 1925, pp. 136–139.Google Scholar
  18. [18]
    Ludwieg, H., and Tillman, W.: Untersuchung über die Wandsehubspannung in Turbulenten Reibungsschichten. Ing.-Archiv, 17 (4), 1949 (translated as NACA TM 1285, 1950).Google Scholar
  19. [19]
    Klebanoff, P. S., and Diehl, Z. W.: Some Features of Artificially Thickened Fully Developed Turbulent Boundary Layers with Zero Pressure Gradient. NACA Rep. 1110, 1952 (supersedes NACA TN 2475, Oct. 1951).Google Scholar
  20. [20]
    Schubauer, G. B., and Klebanoff, P.S.: Investigation of Separation of the Turbulent Boundary Layer. NACA Rep. 1030, 1951 (supersedes TN 2133, Aug. 1950).Google Scholar
  21. [21]
    Gourzhienko, A.: The Turbulent Flow in Diffusers of Small Divergence Angle. C.A.H.I. Rep. 462, Moscow 1939 (translated as NACA TM 1137).Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1955

Authors and Affiliations

  • J. R. Ruetenik
    • 1
  • S. Corrsin
    • 1
  1. 1.The Johns Hopkins UniversityBaltimoreUSA

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