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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Pai, S.I.: 1958,Proc. Ind. Soc. Theo. Appl. Mech. 4, 89.
Pai, S.I.: 1959,Z. Angew. Math. Mech. 39, 40.
Chaturani, P.: 1968, Ph.D. Thesis, IIT, Bombay, 40.
Kumar, S., Agrawal, K.L. and Prakash, H.: 1981,J. Math. Phys. Sci. 15, 497.
Kumar, S. and Saxena, D.K.: 1984,Astrophys. Space Sci. 100, 65.
Chester, W.: 1954,Phil. Mag. 45(7), 1292.
Chisnell, R.F.: 1955,Proc. Roy. Soc. 232, 350.
Whitham, G.B.: 1958,J. Fluid Mech. 4, 337.
Yousaf, M.: 1974,J. Fluid Mech. 66, 577.
Yousaf, M.: 1985,Phys. Fluids 28(6), 1659.
Yadav, R.P.: 1992,Mod. Meas. Cont. (France) 46(4), 1.
Yadav, R.P. and Gupta, M.: 1994,Shock Waves 4, 163.
Yadav, R.P. and Tripathi, S.: 1994,Astrophys. Space Sci. (Accepted).
Yadav, R.P. and Gupta, M.: 1995,Mod. Meas. Cont. 58(2), 17.
Terao, K.: 1983,Jpn. J. Appl. Phys. 22, 146.
Terao, K. and Wagner, H.G.: 1991,Shock Waves 1, 27.
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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