Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-13T02:34:34.918Z Has data issue: false hasContentIssue false
  • English
  • Français

Supersonic flow past cones of general cross-section

Published online by Cambridge University Press:  28 March 2006

P. M. Stocker  and
F. E. Mauger
P. M. Stocker
Affiliation:
Armament Research and Development Establishment, War Office, Sevenoaks, Kent
F. E. Mauger
Affiliation:
Armament Research and Development Establishment, War Office, Sevenoaks, Kent
Get access Rights & Permissions [Opens in a new window]

Abstract

The differential equations representing the supersonic flow of a gas past a cone of any cross-section are integrated numerically, using a method similar to those used for bluff-body problems. A stream function is used as one of the independent variables and this is particularly suitable for determining the singular ‘vortical layer’. The method is here applied to the cases of elliptic cones at zero yaw and circular cones at incidence. The results are compared with experiment and with other numerical solutions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 13 , Issue 3 , July 1962 , pp. 383 - 399
Copyright
© 1962 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

Briggs, B. P. 1959 Calculation of supersonic flow past bodies shaped like elliptic cones. NASA Rep. no. D-24.Google Scholar
Butler, D. S. 1960 The numerical solution of hyperbolic systems of partial differential equations in three independent variables. Proc. Roy. Soc. A, 255, 232.Google Scholar
Ferri, A. 1951 Supersonic flow around circular cones at angles of attack. NACA Rep. no. 1045.Google Scholar
Ferri, A. 1959 Review of recent developments in hypersonic flow. Adv. Aero. Sci. 2, 744. (London: Pergammon Press.)Google Scholar
Garabedian, P. R. 1957 Numerical construction of detached shock waves. J. Math. Phys. 36, 192.Google Scholar
Holt, M. & Blackie, J. 1956 Experiments on circular cones at yaw in supersonic flow. J. Aero. Sci. 23, 931.Google Scholar
Krzywoblocki, M. Z. V. 1958 On the stream functions in non-steady three dimensional flow. J. Aero. Sci. 25, 67.Google Scholar
Mangler, K. W. & Evans, N. E. 1957 Unpublished Ministry of Supply Report.
Mauger, F. E. 1960 Unpublished War Office Report.
Radhakrishnan, R. 1958 The exact flow behind a yawed conical shock. College of Aeronautics, Cranfield, Rep. no. 116.Google Scholar
Vaglio-Laurin, R. & Ferri, A. 1958 Theoretical investigation of the flow field about blunt-nosed bodies in supersonic flight. J. Aero. Sci. 25, 761.Google Scholar
Van Dyke, M. D. & Gordon, H. D. 1959 Supersonic flow past a family of blunt axisymmetric bodies. NASA Rep. no. R-1.Google Scholar
Zlotnik, M. & Newman, D. J. 1957 Theoretical calculation of the flow on blunt-nosed bodies in a hypersonic stream. AVCO RAD-TR-2-57-29.Google Scholar