Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-19T12:32:59.527Z Has data issue: false hasContentIssue false
  • English
  • Français

Viscous flow over a cone at moderate incidence. Part 2. Supersonic boundary layer

Published online by Cambridge University Press:  29 March 2006

T. C. Lin  and
S. G. Rubin
T. C. Lin
Affiliation:
Polytechnic Institute of Brooklyn, Preston R. Bassett Research Laboratory, Farmingdale, New York
S. G. Rubin
Affiliation:
Polytechnic Institute of Brooklyn, Preston R. Bassett Research Laboratory, Farmingdale, New York
Get access Rights & Permissions [Opens in a new window]

Abstract

A finite-difference method recently developed to study three-dimensional viscous flow is applied here to the supersonic boundary layer on a sharp cone at moderate angles of incidence (α/θ [les ] 2, angle of attack α, cone half-angle θ). The present analysis differs from previous investigations of this region in that (i) boundary-layer similarity is not assumed, (ii) the system of governing equations incorporates lateral diffusion and centrifugal force effects, and (iii) an improved numerical scheme for three-dimensional viscous flows of the type considered here is used. Solutions are shown to be non-similar at the separation streamline with local shear-layer formation. Detailed flow structure, including surface heat transfer, boundary-layer profiles and thickness, and the formation of swirling pairwise symmetric vortices, associated with cross-flow separation, are obtained. Good agreement is obtained between the present theoretical results and the existing experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 3 , 17 July 1973 , pp. 593 - 620
Copyright
© 1973 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

Avduevskii, V. S. & Medvedev, K. I. 1966 Izv. AN SSR Mekhanika Zhidkosti i Gza. 117–119.
Boericke, R. R. 1971 A.I.A.A. J. 9, 462.
Cheng, H. K. 1961 Cornell Aeronautical Lab. Rep. AF-1285-A-3.
Cooke, J. C. 1966 Royal Aeronautical Establishment TR 66347.
Dwyer, H. A. 1971 A.I.A.A. Paper, no. 71-57.
Feldhun, R. 1971 A.I.A.A. J. 6, 1074.
Flugge-Lotz, I. & Blottner, F. G. 1963 J. de Mécanique, 2, 397.
George, O. L. 1969 Sandia Labs., Albuquerque, N. M., SC-RR-69–577.
Hales, J. K. 1969 Ordinary Differential Equations. Wiley.
Jones, D. L. 1968 National Research Council of Canada, Aero. Rep. LR-507.
Krause, E. 1967 A.I.A.A. J. 5, 1231.
Krause, E. 1969 A.I.A.A. J. 7, 575.
Krause, E., Hirschel, E. H. & Bothmann, T. 1969 A.I.A.A. J. 2, 367.
Lighthill, M. J. 1958 J. Fluid Mech. 4, 383.
Lin, T. C. & Rubin, S. G. 1972 Polytechnic Institute of Brooklyn, PIBAL Rep. 72-27.
Lin, T. C. & Rubin, S. G. 1973 J. Computers & Fluids, 1, 37.
Mcdevitt, J. B. & Mellenthin, J. A. 1969 N.A.S.A. Tech. Note, D-5346.
Mcgowan, J. J. & Davis, R. T. 1970 Aerospace Research Labs. Rep. ARL70-0341.
Marcillat, J. 1970 Thèse de Doctorat d'Etate, University of Provence, Marseille, France.
Maskell, E. C. 1955 Royal Aeronautical Establishment Aero. Rep. 2565.
Mirels, H. & Ellinwood, J. 1968 A.I.A.A. J. 6, 2061.
Moore, F. K. 1951 N.A.C.A. Tech. Note, no. 2279.
Moore, F. K. 1953 N.A.C.A. Tech. Rep., no. 1132.
Moretti, G. 1967 A.I.A.A. J. 5, 789.
Murdock, J. W. 1971 The Aerospace Corp., San Bernardino, Calif., Air Force Rep. SAMSO-TR-71-209.
Poots, G. 1965 J. Fluid Mech. 22, 197.
Rainbird, W. J. 1968 A.I.A.A. J. 6, 2410.
Reshotko, E. 1957 N.A.C.A. Tech. Note, no. 4152.
Roux, B. 1971 J. de Mécanique, 10, 467.
Rubin, S. G. 1972 3rd Int. Symp. on Numerical Methods in Fluid Dynamics, Paris. (Paper presented.)
Rubin, S. G. & Lin, T. C. 1971 Polytechnic Institute of Brooklyn, PIBAL Rep. no. 71-8.
Rubin, S. G. & Lin, T. C. 1972 J. Comp. Phys. 9, 339.
Stetson, K. F. 1972 A.I.A.A. J. 10, 642.
Tracy, R. R. 1963 California Institute of Technology, Hypersonic Research Project Memo. no. 69.
Trella, M. & Libby, P. A. 1965 A.I.A.A. J. 3, 75.
Vvedenskaya, N. D. 1966 USSR Computational Mathematics and Mathematical Physics, 6, 304.
Whitehead, A. H. & Bertram, M. H. 1971 A.I.A.A. J. 9, 1870.
Yahalom, R. 1971 University of California at Berkeley, Rep. AS71-2.