Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-28T06:41:31.925Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear analysis of cavity flows around arbitrarily shaped bluff bodies in a constrained flow

Published online by Cambridge University Press:  20 April 2006

K. Sato
K. Sato
Affiliation:
Department of Mechanical Engineering, Kanazawa Institute of Technology, 7–1, Ogigaoka Nonoichimachi, Ishikawa 921, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper presents a new nonlinear analytical method based on the Fourier-series expansion for cavity flows, by which we can systematically deal with curved bodies of arbitrary shape. Furthermore, in the present study, the momentum defect within the cavity wake is reasonably well estimated by the displacement effect through the momentum theorem. For two-dimensional symmetric flows around various bluff bodies, theoretical predictions are shown quantitatively and compared with experi- mental data, wherever possible.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 125 , December 1982 , pp. 347 - 358
Copyright
© 1982 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

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Brennen, C. 1969 Cavitation State of Knowledge. A.S.M.E.
Furuya, O. 1973 Numerical computations of supercavitating hydrofoils of parabolic shape with Wu and Wang's exact method. California Institute of Technology Rep. E-79A.15.Google Scholar
Muskhelishvili, N. I. 1952 Singular Integral Equations. Noordhoff.
Oba, R. 1961 Linearized theory of supercavitating flow through an arbitrary form hydrofoil. Z. angew. Math. Mech. 41, 354–363.Google Scholar
Oba, R. 1969 A study on finite cavity supercavitating blocked flow. Rep. hist. High Speed Mech., Japan 20, 345–371.Google Scholar
Oba, R.R Ikohagi, T. & Yasu, S. 1980 Supercavitating cavity observations by means of laser velocimeter. Trans. A.S.M.E. I: J. Fluids Engng 102, 433–440Google Scholar
Sato, K. 1981 Nonlinear analysis of supercavitating cascade performance by condition of conservation of momentum. In Proc. 9th Turbomachinery Conf. pp. 7–12 (in Japanese).
Tulin, M. P. 1964 Supercavitating flows- small perturbation theory. J. Ship Res. 7, 16–37.Google Scholar
Tulin, M. P. & Burkart, M. P. 1955 Linearized theory for flows about lifting foils at zero cavitation number. David W. Taylor Model Basin Rep. C–638.Google Scholar
Waid, R. L. 1957 Water tunnel investigation of two-dimensional cavities. California Institute of Technology Rep. E–73.4.Google Scholar
Wu, T. Y. & Wang, D. P. 1964 A wake model for free-streamline flow theory. Part 2. Cavity flows past obstacles of arbitrary profile. J. Fluid Mech. 18, 65–93.Google Scholar
Wu, T. Y., Whitney, A. K. & Brennen, C. 1971 Cavity-flow wall effects and correction rules. J. Fluid Mech. 49, 223–256.Google Scholar
Wu, T. Y. 1972 Cavity and wake flows. Ann. Rev. Fluid Mech. 4, 243–284.Google Scholar
Yamaguchi, H. & Kato, Y. 1981 A study on a supercavitating hydrofoil with rounded nose. J. Soc. Naval Arch. Japan 149, 83–149 (in Japanese).Google Scholar