Magnetogasdynamic shock waves in a nonideal gas with heat conduction and radiation heat flux
- 137 Downloads
The purpose of this study is to obtain a self-similar solution of the problem of propagation of a magnetogasdynamic shock wave in a nonideal gas with heat conduction and radiation heat flux in the presence of a spatially decreasing azimuthal magnetic field strength. The initial density of the medium is assumed to be constant. The heat conduction is expressed in terms of Fourier’s law, and the radiation is considered to be of a diffusion type for an optically thick gray gas model. The thermal conductivity and absorption coefficients are assumed to vary with temperature and density. The shock is assumed to be driven by a piston moving with a variable velocity. Similarity solutions are obtained, and the effects of variation of the gas nonidealness parameter and Alfven–Mach number on the flow field behind the shock are investigated.
Keywordsshock wave magnetogasdynamics nonideal gas self-similar flow heat transfer effects
Unable to display preview. Download preview PDF.
- 2.N. N. Kochina and N. S. Melnikova, On unsteady motion of a gas forced out by a piston with counter pressure neglected, Prikl. Mat. Mekh., 22, 444–451 (1958).Google Scholar
- 12.J. P. Vishwakarma and A. K. Singh, Magnetogasdynamic shock waves in a nonuniform gas with heat conduction and radiation heat flux, Int. J. Appl. Mech. Eng., 13, 797–815 ( 2008).Google Scholar
- 15.P. H. Roberts and C. C. Wu, The shock-wave theory of sonoluminescene, in: R. C. Srivastava, D. Leutoff, K. Takayama, and H. Granig (Eds.), Shock Focusing Effect in Medical Science and Sonoluminescence, Springer-Verlag, Berlin (2003), pp. 1–27.Google Scholar
- 16.Y. B. Zel’dovich and Y. P. Raizer, Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, Vol. II, Academic Press, New York (1967).Google Scholar
- 24.D. Summers, An idealized model of a magnetohydrodynamic spherical blast wave applied to a flare produced shock in the solar wind, Astron. Astrophys., 45, 151–158 (1975).Google Scholar
- 25.G. C. Pomraning, The Equations of Radiation Hydrodynamics (Int. Ser. Monographs in Natural Philosophy, 54), Pergaman Press, Oxford (1973).Google Scholar
- 26.J. P. Vishwakarma, Vinay Chaube, and Arvind Patel, Self-similar solution of a shock propagation in a non-ideal gas, Int. J. Appl. Mech. Eng., 12, 813–830 (2007).Google Scholar