Hostname: page-component-745bb68f8f-lrblm Total loading time: 0 Render date: 2025-01-09T16:43:54.193Z Has data issue: false hasContentIssue false
  • English
  • Français

The two-dimensional turbulent wall-jet

Published online by Cambridge University Press:  28 March 2006

W. H. Schwarz  and
W. P. Cosart
W. H. Schwarz
Affiliation:
Department of Chemical Engineering, Stanford University, Palo Alto, California
W. P. Cosart
Affiliation:
Department of Chemical Engineering, Stanford University, Palo Alto, California
Get access Rights & Permissions [Opens in a new window]

Abstract

With the aid of a hot-wire anemometer, the mean velocity distribution of the incompressible, turbulent, plane wall-jet has been examined in some detail. As previously reported, this fully developed boundary layer belongs to the class of self-preserving flows. Over the entire range of experimental conditions, a single velocity scale $(\overline {U}_m)$ and a single length scale (δ) seem to correlate all the velocity data. Further, it is shown theoretically that δ must vary as x, and $\overline {U}_m$ must vary as xa over this range. The exponent a has been empirically determined as -0.555. Values of the Reynolds shear stress, which are proportional to $\overline {u} \overline {v}$, the Boussinesq exchange coefficient ε, and the shear stress at the wall have been evaluated. The Reynolds number based on the maximum velocity and the thickness of the boundary layer varied from 22,000 to 106,000.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 4 , June 1961 , pp. 481 - 495
Copyright
© 1961 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bakke, P. 1957 J. Fluid Mech. 2, 467.
Bradshaw, P. 1959 Aero. Res. Coun. Lond. Rep. no. 20, 889; F.M. 2799.
Clauser, F. H. 1956 Article in Advances in Applied Mechanics, 3. New York: Academic Press Inc.
Cosart, W. P. 1960 M.S. thesis, Stanford Univ., Stanford; Calif.
Förthmann, E. 1934 Ingenieur Archiv. 1, trans.: 1936 N.A.C.A. T.M. 789.
Glauert, M. B. 1956 J. Fluid Mech. 1, 625.
Poreth, M. & Cermak, J. E. 1959 Sixth Midwestern Conference of Fluid Mechanics. University of Texas, Austin, Texas.
Preston, J. H. 1954 J. Roy. Aero. Soc. 58, 109.
Sigalla, A. 1958a Aircr. Engng. 30, 131.
Sigalla, A. 1958b J. Roy. Aero. Soc. 62, 873.
Zerbe, J. & Selna, J. 1946 N.A.C.A. T.N. 1070.