Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T02:07:25.286Z Has data issue: false hasContentIssue false
  • English
  • Français

Experimental studies of supercavitating flow about simple two-dimensional bodies in a jet

Published online by Cambridge University Press:  28 March 2006

Edward Silberman
Edward Silberman
Affiliation:
St Anthony Falls Hydraulic Laboratory, University of Minnesota
Get access Rights & Permissions [Opens in a new window]

Abstract

A two-dimensional free-jet water tunnel developed at the St Anthony Falls Hydraulic Laboratory of the University of Minnesota is described briefly. Results of experimental measurements on a two-dimensional cup, symmetrical wedges, inclined flat plates, and a circular cylinder in the tunnel are given.

Measured force coefficients at zero cavitation number are in good agreement with theory. Shapes of the cavities were computed for one of the wedges and for one of the plates at zero cavitation number; the observed shapes are also in good agreement with the theory.

For non-zero cavitation numbers, theoretical results for force coefficients were available for comparison in only two cases. For one of these, the cup, agreement between theory and experiment was good up to a cavitation number of about 0.5. For the other, a symmetrical wedge, experimental results were compared with a linear theory with good agreement for cavitation numbers between about 0.1 and 0.3. In the case of the wedge, measured cavity lengths were somewhat shorter than predicted by the linear theory. All other comparisons with theory at non-zero cavitation number had to be made with the theory as developed for infinite fluid. The experimental force coefficients were less than predicted by infinite-fluid theory, but tended to approach the theoretical values as the cavitation number increased. A similar tendency marked the comparison between the experimental data and data taken by others in closed tunnels.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 5 , Issue 3 , April 1959 , pp. 337 - 354
Copyright
© 1959 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

Birkhoff, G., Plesset, M. S. & Simmons, N. 1950 Wall effects in cavity flow. Part I. Quart. Appl. Math. 8, 151.Google Scholar
Birkhoff, G., Plesset, M. S. & Simmons, N. 1952 Wall effects in cavity flow. Part II. Quart. Appl. Math. 9, 413.Google Scholar
Birkhoff, G. & Zarantonello, E. H. 1957 Jets, Wakes and Cavities. New York: Academic Press.
Christopherson, C. D. 1953 Description of a ten-inch free-jet water tunnel. St Anthony Falls Hydraulic Laboratory, University of Minnesota, Project Rep. no. 35. (Available on interlibrary loan from the University of Minnesota Library, Minneapolis 14, Minnesota.)Google Scholar
Cohen, H. & Tu, Y. 1956 A comparison of wall effects on supercavitating flows past symmetric bodies in solid wall channels and jets. Proc. 9th Int. Congr. Appl. Mech., Brussels, p. 359.Google Scholar
Lindsey, W. F. 1938 Drag of cylinders of simple shapes. Nat. Adv. Comm. Aero., Wash., Rep. no. 619.Google Scholar
Martyrer, E. 1932 Kraftsmessungen an Widerstandskörpern and Flügelprofilen in Wasserstrom beim Kavitation, Article in Hydromechanische Probleme des Schiffsentriebs (Ed. Kempf & Foerster). Hamburg: Schiffbau-Versuchsanstalt.
Parkin, B. R. 1958 Experiments on circular arc and flat plate hydrofoils in noncavitating and full cavity flows. J. Ship. Res. 1, 34.Google Scholar
Plesset, M. S. & Shaffer, P. A. Jr., 1948 Cavity drag in two and three dimensions. J. Appl. Phys. 19, 934.Google Scholar
Prandtl, L. & Tietjens, O. G. 1934 Applied Hydro and Aeromechanics. New York: McGraw-Hill.
Schlichting, H. 1955 Boundary Layer Theory. New York: McGraw-Hill.
Siao, T. T. & Hubbard, P. G. 1953 Deflection of jets, Part I. Symmetrically placed V-shaped obstacle. Free Streamline Analyses of Transition Flow and Jet Deflection, State University of Iowa, Bulletin no. 35, p. 33.Google Scholar
Tulin, M. P. 1956 Supercavitating flow past foils and struts. Proc. Symposium on Cavitation in Hydrodynamics, National Physical Laboratory, Teddington, England.
Wu, T. Y. 1956 A free streamline theory for two-dimensional fully cavitated hydrofoils. J. Math. Phys. 25, 236.Google Scholar
Wu, T. Y. 1957 A simple method for calculating the drag in the linear theory of cavity flows. California Institute of Technology, Rep. no. 85.Google Scholar