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Bilbao, L.E.; Gratton, J. "Spherical and cylindrical convergent shocks" (1996) Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics. 18(9):1041-1060
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Abstract:

The converging shock wave is a classical example of self-similarity of the second kind, in which the similarity exponent δ* is found solving a non-linear eigenvalue problem. Work on this problem has been mostly concerned with the precise calculation of δ* for various adiabatic exponents γ. Data about asymptotic Mach numbers, compression ratios, and other properties of the solutions are very scarce and not sufficiently accurate. Profiles of the physical variables are available only for γ = 7/5, 5/3 and are also inaccurate. To obtain the full solution with precision it is not enough to know the eigenvalue: additional independent requirements must also be met. In this paper we study in detail some properties of the solutions not yet discussed in the literature. We present new calculations of δ*, asymptotic Mach numbers and compression ratios for cylindrical and spherical shocks for many γ values; we present profiles of the physical variables, and find some striking properties of the solutions, previously unnoticed.

Registro:

Documento: Artículo
Título:Spherical and cylindrical convergent shocks
Autor:Bilbao, L.E.; Gratton, J.
Filiación:INFIP, CONICET, Ciudad Universitaria, 1428 Buenos Aires, Argentina
CONICET, Argentina
Año:1996
Volumen:18
Número:9
Página de inicio:1041
Página de fin:1060
DOI: http://dx.doi.org/10.1007/BF02457671
Título revista:Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics
ISSN:03926737
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03926737_v18_n9_p1041_Bilbao

Referencias:

  • Guderley, G., (1942) Luftfahrtforschung, 19, p. 302
  • Zel'dovich, Ya.B., Raizer, Yu.P., (1967) Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, , (Academic Press, New York, N.Y.)
  • Barenblatt, G.I., (1979) Similarity, Self-Similarity, and Intennediate Asymptotics, , Consultants Bureau, New York and London
  • Meyer-Ter-Vehn, J., Schalk, C., (1982) Z. Naturforsch. A, 37, p. 955
  • Nakamura, Y., (1983) Phys. Fluids, 26, p. 1234
  • Welsh, R.L., (1967) J. Fluid Mech., 29, p. 61
  • Book, D.L., Bernstein, I.B., (1979) Phys. Fluids, 22, p. 79
  • Rayleigh, L., (1917) Philos. Mag., 34, p. 94
  • Hunter, C.J., (1960) J. Fluid Mech., 8, p. 241
  • Hunter, C.J., (1963) J. Fluid Mech., 15, p. 289
  • Ferro, F.C., Gratton, J., Gratton, R., (1977) Nucl. Fusion, 17, p. 135
  • Stanyukovich, K.P., (1960) Unsteady Motion of Continuous Media, , Pergamon, London
  • Landau, L.D., Lifschitz, E.M., (1979) Fluid Mechanics, 2nd Edition, , Pergamon Press
  • Gratton, J., (1991) Fundam. Cosmic Phys., 15, p. 1
  • Butler, D.S., (1954) Converging Spherical and Cylindrical Shocks, , Ministry of Supply, Armament Research Establishment, UK, Report 54/54
  • Somon, J.P., Linhart, J.G., Knoepfel, H., (1962) Nucl. Fusion, (2 SUPPL. AND PART), p. 717
  • Brushlinskii, K.V., Kazhdan, Ya.M., (1963) Usp. Mat. Nauk, 18, p. 3
  • (1963) Sov. Math. Surveys, 18, p. 1. , English trans
  • LEE B. H. K., Report No. 66-1, McGill University (1966); Lee, B.H.K., (1967) AIAA J., 5, p. 1997
  • Goldman, E.B., (1973) Plasma Phys., 15, p. 289
  • LAZARUS R. B. and RICHTMYER R. D., Report LA-6823-MS, Los Alamos Sci. Lab. (1977); RODRIGUEZ M. and LINAN A., Report J.E.N. 405, Junta de Energía Nuclear, Madrid (1978); Yousaf, M., (1986) Phys. Fluids, 29, p. 680
  • Sedov, L.I., (1959) Similarity and Dimensional Methods in Mechanics, , Academic Press, New York, N.Y
  • Courant, R., Friedrichs, K.O., (1948) Supersonic Flow and Shock Waves, , Interscience, New York, N.Y
  • Whitham, G.B., (1974) Linear and Nonlinear Waves, , Wiley, New York, N.Y
  • Fujimoto, Y., Mishkin, E.A., (1978) Phys. Fluids, 21, p. 1933
  • Fujimoto, Y., Mishkin, E.A., (1978) J. Fluid Mech., 89, p. 61

Citas:

---------- APA ----------
Bilbao, L.E. & Gratton, J. (1996) . Spherical and cylindrical convergent shocks. Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics, 18(9), 1041-1060.
http://dx.doi.org/10.1007/BF02457671
---------- CHICAGO ----------
Bilbao, L.E., Gratton, J. "Spherical and cylindrical convergent shocks" . Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics 18, no. 9 (1996) : 1041-1060.
http://dx.doi.org/10.1007/BF02457671
---------- MLA ----------
Bilbao, L.E., Gratton, J. "Spherical and cylindrical convergent shocks" . Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics, vol. 18, no. 9, 1996, pp. 1041-1060.
http://dx.doi.org/10.1007/BF02457671
---------- VANCOUVER ----------
Bilbao, L.E., Gratton, J. Spherical and cylindrical convergent shocks. 1996;18(9):1041-1060.
http://dx.doi.org/10.1007/BF02457671