Skip to main content
    • Aa
    • Aa

Structure of shock waves at re-entry speeds

  • V. Shanmugasundaram (a1) and S. S. R. Murty (a2)

The unified structure of steady, one-dimensional shock waves in argon, in the absence of an external electric or magnetic field, is investigated. The analysis is based on a two-temperature, three-fluid continuum approach, using the Navier—Stokes equations as a model and including non-equilibrium collisional as well as radiative ionization phenomena. Quasi charge neutrality and zero velocity slip are assumed. The integral nature of the radiative terms is reduced to analytical forms through suitable spectral and directional approximations. The analysis is based on the method of matched asymptotic expansions. With respect to a suitably chosen small parameter, which is the ratio of atom-atom elastic collisional mean free-path to photon mean free-path, the following shock morphology emerges: within the radiation and electron thermal conduction dominated outer layer occurs an optically transparent discontinuity which consists of a chemically frozen heavy particle (atoms and ions) shock and a collisional ionization relaxation layer. Solutions are obtained for the first order with respect to the small parameter of the problem for two cases: (i) including electron thermal conduction and (ii) neglecting it in the analysis of the outer layer. It has been found that the influence of electron thermal conduction on the shock structure is substantial. Results for various free-stream conditions are presented in the form of tables and figures.

Hide All
Chubb D. L. 1968 Phys. Fluids, 11, 2363.
Clarke J. H. & Ferrari C. 1965 Phys. Fluids, 8, 2121.
Foley W. H. & Clarke J. H. 1973 Phys. Fluids, 16, 375.
Harwell K. E. & Jahn R. G. 1964 Phys. Fluids, 7, 214.
Hoffert M. I. & Lien H. 1967 Phys. Fluids, 10, 1769.
Jaffrin M. Y. 1965 Phys. Fluids, 8, 606.
Jones N. R. & McChesney M. 1966 Nature, London. 209, 1080.
Kamimoto G. & Teshima K. 1972 Trans. Japan Soc. Aeronaut. Space Sci. 15, 141.
Kelly A. J. 1966 J. chem. Phys. 45, 1723.
Merilo M. & Morgon E. J. 1970 J. chem. Phys. 52, 2192.
Neloson H. F. 1974 J. Quant. Spect. Rad. Trans., 14, 873.
Petschek H. & Byron S. 1957 Ann. Phys. 1, 270.
Shanmugasundram V. & Murty S. S. R. 1976 a Report 76FM8, Department of Aeronautics, Indian Institute of Science, Bangalore.
Shanmugasundram V. & Murty S. S. R. 1976 b Report 76FM21, Department of Aeronautics, Indian Institute of Science, Bangalore.
Shanmugasundram V. & Murty S. S. R. 1978 J. Plasma Phys. 20, 419.
Van Dyke M. 1964 Perturbation Methods in Fluid Mechanics. Academic.
Wong H. & Bershader D. 1966 J. Fluid Mech. 26, 459.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 3 *
Loading metrics...

Abstract views

Total abstract views: 33 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 19th October 2017. This data will be updated every 24 hours.