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Topology Of Conical Flow Patterns

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Bifurcations in Flow Patterns

Part of the book series: Nonlinear Topics in the Mathematical Sciences ((NTMS,volume 2))

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Abstract

The qualitative theory of dynamical systems will be applied to three-dimensional inviscid flows with conical symmetry. Such flows, which are called conical flows, have the specific property that the velocity and the quantities defining the state of the gas, e.g. pressure and temperature, are constant along rays emanating from a common point in the physical space. This point is called the center of the conical field.

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References

  • Bakker, P.G. and Bannink, W.J. (1974) Conical stagnation points in the supersonic flow around slender circular cones at incidence. Delft University of Technology, Report VTH-184.

    Google Scholar 

  • Bakker, P.G. (1977) Conical streamlines and pressure distribution in the vicinity of conical stagnation points in isentropic flow. Delft University of Technology, Report LR-244.

    Google Scholar 

  • Bakker, P.G., Bannink, W.J. and Reyn, J.W. (1981) Potential flow near conical stagnation points, J. Fluid Mech., Vol. 105.

    Google Scholar 

  • Bakker, P.G. (1984) Structural stability and bifurcation in conical flow fields. Delft University of Technology, Report LR-424.

    Google Scholar 

  • Bakker, P.G. and Reyn, J.W. (1985) Conical flow near external axial corners as a bifurcation problem. AIAA-Journal, Vol. 23, No. 1.

    Article  ADS  Google Scholar 

  • Bannink, W.J. and Nebbeling C. (1978) Measurements of the supersonic flow field past a slender cone at high angles of attack. AGARD Conference Proceedings 247, Paper 22.

    Google Scholar 

  • Bannink, W.J. (1984) Investigation of the conical flow field about external axial corners. AIAA-Journal, Vol. 22, No. 3.

    Google Scholar 

  • Bulakh, B.M. (1970) Nonlinear conical flow. Translated from the Russian by J.W. Reyn and W.J. Bannink, Delft University Press (1985).

    Google Scholar 

  • Busemann.A. (1929) Drücke auf kegelförmige Spitzen bei Bewegung mit Ãœberschallgeschwindigkeit. ZAMM, 9(6)

    Google Scholar 

  • Ferri, A. (1951) Supersonic flow around circular cones at angles of attack. NACA TR-1045.

    Google Scholar 

  • Fowell, L.R. (1956) Exact and approximate solutions for the supersonic delta wing. J. Aeron. Sei. 23 (8).

    Google Scholar 

  • Germain, P. (1949) La théorie générale des mouvements coniques et ses applications à l'aérodynamique suersonique. ONERA, Publ. no. 34.

    Google Scholar 

  • Goldstein, S. & Ward, G.N. (1950) The linearized theory of conical fields in supersonic flow with application to plane airfoils. Aeron. Quart, II.

    Google Scholar 

  • Grossman, B. (1979) Numerical procedure for the computation of irrotational conical flows. AIAA-Journal, Vol. 17, No. 8.

    Google Scholar 

  • Kutler, P. and Shankar, V. (1976) Computation of the inviscid supersonic flow over external axial corners. Proceedings of the Heat Transfer and Fluid Mechanics Institute, Davis. Calif.

    Google Scholar 

  • Maslen, S. (1952) Supersonic conical flow. NACA TN-2651.

    Google Scholar 

  • Melnik, R.E. (1967) Vortical singularities in conical flow. AIAA-Journal, Vol. 5, No. 4.

    Google Scholar 

  • Reyn, J.W. (1960) Differential geometric considerations on the hodograph transformation for irrotational conical flow. Archive Rat. Mech. Anal. 6(4).

    Google Scholar 

  • Salas, M.D. and Daywitt, J. (1979) Structure of the conical flow field about external axial corners. AIAA-Journal, Vol. 17, No. 1.

    Google Scholar 

  • Salas, M.D. (1980) Careful numerical study of flow fields about symmetrical external conical corners. AIAA-Journal, Vol. 18, No. 6.

    Google Scholar 

  • Smith, J.H.B. (1972) Remarks on the structure of conical flow. Progress in Aerospace Sciences, Vol. 12, Pergamon.

    Google Scholar 

  • Stocker, P.M. and Mauger, F.E. (1962) Supersonic flow past cones of general cross-section. J. Fluid Mechanics, Vol. 13(3).

    Google Scholar 

  • Taylor, G.I. and Macoll, J.W. (1933) The air pressure on a cone moving at high speeds. Proc. Roy. Soc., Ser. A 139.

    Google Scholar 

  • Vorob'ev, N.F. and Fedosov, V.P. (1972) Supersonic flow around a dihedral angle (conical case). Izvestiya Akademii Nauk SSR, Mekhanika Zhidkostii i Gaza, No. 5.

    Google Scholar 

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© 1991 Springer Science+Business Media Dordrecht

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Bakker, P.G. (1991). Topology Of Conical Flow Patterns. In: Bifurcations in Flow Patterns. Nonlinear Topics in the Mathematical Sciences, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3512-2_2

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  • DOI: https://doi.org/10.1007/978-94-011-3512-2_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5553-6

  • Online ISBN: 978-94-011-3512-2

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