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Effect of overtaking disturbances on strong cylindrical shock in a self-gravitating gas

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Abstract

The effect of overtaking disturbances on the propagation of strong cylindrical shock in a self-gravitating gas has been studied by an approximate technique developed by Yadav (1992). Assuming an initial density distribution law ase o=e′rw, wheree′ is the density at the axis of symmetry andw is a constant, the analytical expressions for shock velocity and shock strengths modified by overtaking waves have been obtained. The results accomplished here have been compared with those for freely propagating shock.

The conclusions arrived here agreed with experimental results.

Finally, the modified expressions for the pressure, the density and the particle velocity immediately behind the shock have also been derived.

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References

  • Chester W (1954) The quasi-cylindrical shock tube. Phil. Mag. 45(7): 1293

    Google Scholar 

  • Chisnell RF (1955) The normal motion of a shock wave through a nonuniform one-dimensional medium. Proc. Roy Soc. A 232: 350

    Google Scholar 

  • Kumar S, Saxena AK (1983) Cylindrical shock in a self-gravitating gas. Def. Sci. J. 33(4): 289

    Google Scholar 

  • Terao K (1983) Experimental study on cylindrical and spherical implosions. Jpn. J. Appl. Phys. 22: 146

    Google Scholar 

  • Terao K, Wagner HG (1991) Experimental study on spherically imploding detonation waves. Shock Waves 1: 27

    Google Scholar 

  • Whitham GB (1958) On the propagation of shock waves through regions of non-uniform area or flow. J. Fluid Mech. 4: 337

    Google Scholar 

  • Yadav RP (1992) Effect of overtaking disturbances on the propagation of strong cylindrical shock in a rotating gas. Mod. Meas. Cont. (France), B 46(4): 1

    Google Scholar 

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Yadav, R.P., Gupta, M. & Tripathi, S. Effect of overtaking disturbances on strong cylindrical shock in a self-gravitating gas. Shock Waves 4, 163–165 (1994). https://doi.org/10.1007/BF01417432

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  • DOI: https://doi.org/10.1007/BF01417432

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