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On the singular points in the laminar two-dimensional near wake flow field

Published online by Cambridge University Press:  28 March 2006

Sheldon Weinbaum
Sheldon Weinbaum
Affiliation:
Department of Mechanical Engineering, The City College of The City University, New York, New York 10031
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Abstract

It is shown that useful information concerning the flow in the neighbourhood of the various separation and stagnation points in the laminar near wake of a blunt-based two-dimensional wedge can be learned from the locally valid Stokes type series solutions to the incompressible Navier-Stokes vorticity equation derived previously by Dean & Montagnon (1949) and Moffatt (1964). This theory, which is in qualitative agreement with the experiments of Hama (1967) and Donaldson (1967), shows that the flow separates from the base of a blunt-based body and not from its trailing edge. The series solution for the two-dimensional stagnation point is treated in detail and compared with Howarth's (1934) numerical solution in order to study the convergence and conditions for completeness of the Stokes type series solution. Finally, the wake rear stagnation point is examined to provide insight into the problem of wake closure.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 1 , 12 July 1968 , pp. 39 - 63
Copyright
© 1968 Cambridge University Press

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References

Carrier, G. F. & Lin, C. C. 1948 Q. Appl. Math. 6, 63.
Cheng, S. I. 1964 Princeton University Dept. of Aerospace and Mechanics Rept. no. 701.
Crocco, L. & Lees, L. 1952 J. Aero. Sci. 19, 649.
Denison, M. R. & Baum, E. 1963 A.I.A.A. J. 1, 342.
Dean, W. R. & Montagnon, P. E. 1949 Proc. Camb. Phil. Soc. 45, 389.
Donaldson, I. S. 1967 A.I.A.A. J. 5, 1086.
Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Hama, F. R. 1967 A.I.A.A. Preprint, no. 67–29.
Harper, J. F. 1963 J. Fluid Mech. 17, 141.
Howarth, L. 1934 Rept. Memor. Aero. Res. Coun., Lond. no. 1632.
Kubota, T. & Dewey, C. F. 1964 A.I.A.A. J. 2, 629.
Larson, R. E., Scott, C., Elgin, D. & Siever, R. 1962 Univ. Minnesota, Rosemont Aero. Labs. Rept. no. 183.
Lugt, H. J. & Schwiderski, E. W. 1965 Proc. Roy. Soc. A, 285, 382.
Moffatt, H. K. 1964 J. Fluid Mech. 18, 1.
Reeves, B. L. & Buss, H. 1967 A.I.A.A. Preprint, no. 67–64.
Roache, P. J. 1967 Ph.D. Thesis, University of Notre Dame, Notre Dame, Indiana.
Viviand, H. & Berger, S. A. 1965 J. Fluid Mech. 23, 439.
Weinbaum, S. 1966a General Electric TIS Rept. R 66 SD 25.
Weinbaum, S. 1966b A.I.A.A. J. 4, 217.
Weinbaum, S. 1967 A.I.A.A. Preprint, no. 67–65.
Weiss, R. F. & Weinbaum, S. 1966 A.I.A.A. J. 4, 1321.