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

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Abstract

The effect of overtaking disturbances upon the free propagation of strong cylindrical hydromagnetic shock through a self-gravitating gas has been studied by an approximating technique developed by Yadav. Assuming an initial density distribution law as ρ0=ρ′r−w, where ρ′ is the density at the axis of symmetry and ω is a constant, the analytical relation for shock velocity and shock strength modified by overtaking waves has been obtained under two conditions: viz., (i) when the applied axial magnetic field is strong and (ii) when the field is weak. The results obtained here are compared with those for a freely propagating shock. The conclusions arrived at agreed with experimental results.

It is shown that the applications of the CCW method and the neglect of overtaking disturbances are equivalent.

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Yadav, R.P., Gupta, M. & Kumar, S. Effect of overtaking disturbances on a strong cylindrical hydromagnetic shock wave in a self-gravitating gas. Astrophys Space Sci 235, 27–39 (1996). https://doi.org/10.1007/BF00643588

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  • DOI: https://doi.org/10.1007/BF00643588

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