Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-13T01:35:42.383Z Has data issue: false hasContentIssue false
  • English
  • Français

Calculation of two-dimensional and axisymmetric bluff-body potential flow

Published online by Cambridge University Press:  29 March 2006

P. W. Bearman  and
J. E. Fackrell
P. W. Bearman
Affiliation:
Department of Aeronautics, Imperial College, London
J. E. Fackrell
Affiliation:
Department of Aeronautics, Imperial College, London Present address: Central Electricity Generating Board, Marchwood Engineering Laboratories, Marchwood, Hampshire, England.
Get access Rights & Permissions [Opens in a new window]

Abstract

A numerical method incorporating some of the ideas underlying the wake source model of Parkinson & Jandali (1970) is presented for calculating the incompressible potential flow external to a bluff body and its wake. The effect of the wake is modelled by placing sources on the rear of the wetted surface of the body. Unlike Parkinson & Jandali's method, however, the body shapes that can be treated are not limited by the restrictions imposed by the use of conformal transformation. In the present method the wetted surface of the body is represented by a distribution of discrete vortices. Good agreement has been found between the pressure distributions predicted by the numerical method and the analytic expressions of Parkinson & Jandali for a ‘two-dimensional’ circular cylinder and flat plate. A flat plate at incidence and other asymmetric two-dimensional flows have also been treated. The method has been extended to axisymmetric bluff bodies and the results show good agreement with measured pressure distributions on a circular disk and a sphere.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 2 , 25 November 1975 , pp. 229 - 241
Copyright
© 1975 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

Bearman, P. W. 1968 The flow about a circular cylinder in the critical Reynolds number regime. Nat. Phys. Lab. Aero. Rep. no. 1257.Google Scholar
Bostock, B. R. & Mair, W. A. 1972 Pressure distributions and forces on rectangular and D-shaped cylinders. Aero. Quart. 23, 1–6.Google Scholar
Davies, M. E. 1974 A wake source model for an inclined flat plate in a uniform stream. Imperial College Aero. Rep. no. 74–08.Google Scholar
Doe, R. H. 1971 The vortex lattice method for subsonic lifting surfaces, part 1 — two-dimensional problems. B.A.C. Aero. Rep. TN/RHD/LJF/235.Google Scholar
Doe, R. H. 1972 The vortex lattice method applied to thin aerofoil theory with general lattice spacing. B.A.C. Aero. Rep. TN/RHD/LJF/342.Google Scholar
Face, A. 1937 Experiments on a sphere at critical Reynolds numbers. Aero. Res. Counc. R. & M. no. 1766.
Fage, A. & Johansen, F. C. 1927 On the flow of air behind an inclined flat plate of infinite span. Aero. Res. Counc. R. & M. no. 1104.
Fail, R., Lawford, J. A. & Eyre, R. C. W. 1957 Low speed experiments on the wake characteristic of flat plates normal to an air stream. Aero. Res. Counc. R. & M. no. 3120.
Hess, J. L. & Smith, A. M. O. 1967 Calculation of potential flow about arbitrary bodies. Prog. Aero. Sci. 8, 1–138.Google Scholar
Parkinson, G. V. & Jandali, T. 1970 A wake source model for bluff body potential flow. J. Fluid Mech. 40, 577–594.Google Scholar
Polhamus, E. C., Geler, E. W. & Grunwald, K. J. 1959 Pressure and force characteristics of non-circular cylinders as affected by Reynolds number, etc. N.A.S.A. Tech. Rep. R-46.Google Scholar
Roshko, A. 1954 A new hodograph for free streamline theory. N.A.C.A. Tech. Note, no. 3168.
Woods, L. C. 1955 Two-dimensional flow of a compressible fluid past given curved obstacles with infinite wakes. Proc. Roy. Soc. A 227, 367–386.Google Scholar
Wu, T. Y. 1962 A wake model for free-streamline flow theory. J. Fluid Mech. 13, 161–181.Google Scholar