Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Converging magnetogasdynamic cylindrical shock waves in a uniform atmosphere


A self-similar solution to the problem of the implosion of a cylindrical shock wave in the presence of a magnetic field has been investigated. A strong shock wave in a cylindrically-symmetric flow travels to the axis of symmetry through a gas of uniform initial density ρ0 and zero-pressure. A comparative study has been made between the results obtained in ordinary gasdynamics and magnetogasdynamics with transverse and axial components of the magnetic field. The value of similarity exponent α has been assigned from that found in the paper of Whitham (1958).

This is a preview of subscription content, log in to check access.


  1. Guderley, G.: 1942,Luftfahrtforschung 19, 302.

  2. Nigmatulin, R. I.: 1967,J. Appl. Math. Mech. 31, 171.

  3. Stanyukovich, K. P.: 1960, in M. Holt (ed.),Unsteady Motion of Continuous Media, Pergamon Press, Oxford.

  4. Verma, B. G. and Singh, J. B.: 1980,Astrophys. Space Sci. 72, 133.

  5. Verma, B. G. and Singh, J. B.: 1981,Defence Sci. J. 31, 1.

  6. Welsh, R. L.: 1967,J. Fluid Mech. 29, 61.

  7. Whitham, G. B.: 1958,J. Fluid Mech. 4, 337.

  8. Yousaf, M.: 1974,J. Fluid Mech. 66, 577.

  9. Zel'dovich, Y. B. and Raizer, Yu. P.: 1967,Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Vol. 2, Academic Press, London and New York.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Singh, J.B., Mishra, S.K. Converging magnetogasdynamic cylindrical shock waves in a uniform atmosphere. Astrophys Space Sci 127, 361–369 (1986).

Download citation


  • Atmosphere
  • Magnetic Field
  • Shock Wave
  • Initial Density
  • Axial Component