Hostname: page-component-76fb5796d-5g6vh Total loading time: 0 Render date: 2024-04-26T10:12:58.134Z Has data issue: false hasContentIssue false
  • English
  • Français

Shock waves

Published online by Cambridge University Press:  20 April 2006

Wayland C. Griffith
Wayland C. Griffith
Affiliation:
School of Engineering, North Carolina State University, Raleigh, N.C. 27650
Get access Rights & Permissions [Opens in a new window]

Abstract

The first volume of the Journal of Fluid Mechanics contained nine articles (of 39) on shock waves. Some of these pioneered new branches of fluid mechanics. Others dealt with older problem areas. Surprising is one's realization that important elements of all topics are still of current interest. The subjects treated were shock structure, diffraction, refraction, waves in supersonic and hypersonic flows, large-amplitude acoustic and blast waves, and astrophysical processes. The subsequent addition of work on chemically reactive flows, radiating and laser-induced shocks, the effects of electric and magnetic fields on shock propagation in ionized media and the development of computer-based methods of analysis have greatly broadened the scope of shock wave investigations during the ensuing twenty-five years.

The paper traces some of the principal lines of investigation from early motivations to the present state of understanding and application. Motivation is not often consciously expressed in the scientific literature. Usually an external motivation in terms of identifiable needs for better understanding for the solution of practical problems can be identified; though much excellent work must be ascribed to that ubiquitous trait curiosity.

The topics covered in this article were chosen as representative of the basic elements of shock wave interactions and effects. They are: shock structure, refraction, diffraction, shocks in liquid helium, and condensation and liquefaction shocks. The paper closes with an assessment of how approximate and computational methods developed for handling complex flow problems fare when applied to some of the basic shock interactions considered here. Most of the emphasis will be on shock waves in gases, for which knowledge of an equation of state has been key to the significant advances made during the last twenty-five years. For liquids and solids, shock waves have been used the other way around; to study state properties.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 106 , May 1981 , pp. 81 - 101
Copyright
© 1981 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

Abd-el-Fattah, A. M., Henderson, L. F. & Lozzi, A. 1976 J. Fluid Mech. 76, 157.
Abd-el-Fattah, A. M., Henderson, L. F. 1978a J. Fluid Mech. 86, 15.
Abd-el-Fattah, A. M., Henderson, L. F. 1978b J. Fluid Mech. 89, 79.
Alsmeyer, H. 1976 J. Fluid Mech. 74, 497.
Auld, D. J. & Bird, G. A. 1977 A.I.A.A. J. 15, 638.
Bazhenova, T. V., Gvozdeva, L. G., Komarov, V. S. & Suchov, B. G. 1971 Diffraction of strong shock waves. Proc. 8th Int. Shock Tube Symp. paper 54. Chapman & Hall.
Ben-Dor, G. 1978 UTIAS Rep. no. 232.
Ben-Dor, G. & Glass, I. I. 1978 A.I.A.A. J. 16, 1146.
Ben-Dor, G. & Glass, I. I. 1979 J. Fluid Mech. 92, 459.
Ben-Dor, G. & Glass, I. I. 1980 J. Fluid Mech. 96, 735.
Ben-Dor, G., Takayama, K. & Kawauchi, T. 1980 J. Fluid Mech. 100, 147.
Bird, G. A. 1970 Phys. Fluids 13, 1172.
Blackman, V. 1956 J. Fluid Mech. 1, 61.
Bleakney, W. & Taub, A. H. 1949 Rev. Mod. Phys. 21, 584.
Book, D., Boris, J., Kuhl, A., Oran, E., Picone, M. & Zallesak, S. 1980 Proc. 7th Int. Conf. Numerical Methods in Fluid Dynamics.
Chapline, G. F. & Weaver, T. A. 1979 Phys. Fluids 22, 1884.
Cummings, J. C. 1976 J. Fluid Mech. 75, 373.
Dettleff, G., Thompson, P. A., Meir, G. E. A. & Spekman, H. D. 1979 J. Fluid Mech. 95, 279.
DeSilva, A. W., Dove, W. F. & Spalding, I. J. 1971 Phys. Fluids 14, 42.
Elliott, J. P., Baganoff, D. & McGregor, R. D. 1977 Shock wave structure at the thirteen-movement level based on a spacially varying weight function. In Shock Tube and Shock Wave Research (ed. B. Ahlborn et al.). University of Washington.
Emrich, R. J. & Reichenbach, H. 1969 Photographic study of early stages of vortex formation behind an edge. Proc. 7th Int. Shock Tube Symp. (ed. I. I. Glass), p. 750. Toronto University Press.
Glass, I. I., Kalea, S. P. & Sislian, J. P. 1977 A.I.A.A. J. 15, 686.
Gvozdeva, L. G., Bazhenova, T. V., Predvoditeleva, O. A. & Fokeev, V. P. 1969 Astronautica Acta 14, 503.
Grad, H. 1952 Comm. Pure Appl. Math. 5, 257.
Gilbarg, D. & Paolucci, D. 1953 J. Rat. Mech. Anal. 2, 617.
Griffith, W. C. & Brickl, D. E. 1953 Phys. Rev. 89, 451.
Griffith, W., Brickl, D. & Blackman, V. 1956 Phys. Rev. 102, 1209.
Griffith, W. C. & Kenny, A. 1957 J. Fluid Mech. 3, 286.
Henderson, L. F. 1964 Aero. Quart. 15, 181.
Henderson, L. F. 1966 J. Fluid Mech. 26, 607.
Henderson, L. F. 1970 J. Fluid Mech. 40, 719.
Henderson, L. F. 1980 J. Fluid Mech. 99, 801.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139.
Henderson, L. F. & Macpherson, A. K. 1968 J. Fluid Mech. 32, 185.
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 J. Fluid Mech. 90, 541.
Itoh, S., Okazaki, N. & Itaya, M. 1981 J. Fluid Mech. (to appear).
Jahn, R. G. 1956 J. Fluid Mech. 1, 457.
Johannesen, N. H. & Hodgson, J. P. 1979 Rep. Prog. Phys. 42, 629.
Jumper, E. J. 1978 Phys. Fluids 21, 549.
Kawanmura, R. & Saito, H. 1956 J. Phys. Soc. Japan 11, 534.
Kutler, P. & Shankar, V. S. 1977 A.I.A.A. J. 15, 197. (See also A.I.A.A. Paper 77-89.)
Liepmann, H. W., Narasimha, R. & Chahine, M. T. 1962 Phys. Fluids 5, 1313.
Lighthill, M. J. 1949 Proc. Roy. Soc. A 198, 454.
Lighthill, M. J. 1956 Viscosity in waves of finite amplitude. In Surveys in Mechanics. Cambridge University Press.
Lighthill, M. J. 1957 J. Fluid Mech. 2, 1.
Lighthill, M. J. 1960 J. Fluid Mech. 8, 161.
Mach, E. 1878 Akad. Wiss. Wien 77, II 819.
Marshall, W. 1955 Proc. Roy. Soc. A 233, 367.
Neumann, J. VON 1963 In Collected Works, vol. 6. Pergamon.
Petschek, H. & Byron, S. R. 1957 Ann. Phys. 1, 270.
Polachek, H. & Seeger, R. J. 1951 Phys. Rev. 84, 922.
Schneyer, G. P. 1975 Phys. Fluids 18, 1119.
Skews, B. W. 1967 J. Fluid Mech. 29, 705.
Smith, L. G. 1945 Photographic investigation of the reflection of plane shocks in air. OSRD Rep. 6271.
Smith, W. R. 1959 Phys. Fluids 2, 533.
Sternberg, J. 1959 Phys. Fluids 2, 179.
Taub, A. H. 1951 Phys. Rev. 77, 51.
Wegener, P. P. & Wu, B. J. C. 1976 Faraday Disc. Chem. Soc. no. 61, 77.
White, D. R. 1952 Proc. 2nd Midwestern Conf. Fluid Mech. Ohio State University.
Whitham, G. B. 1974 Linear and Nonlinear Waves. Wiley.
Zaslavskii, B. I. & Safarov, R. A. 1973 Z. Prikl. Mekh. i Tekh. Fiziki 5, 26.