EFFECT OF OVERTAKING DISTURBANCES ON A STRONG CYLINDRICAL HYDROMAGNETIC SHOCK-WAVE IN A SELF-GRAVITATING GAS

The effect of overtaking disturbances upon the free propagation of str ong cylindrical hydromagnetic shock through a self-gravitating gas has been studied by an approximating technique developed by Yadav. Assumi ng an initial density distribution law as rho(0) = rho'r(-w), where rh o' is the density at the axis of symmetry and w is a constant, the ana lytical relation for shock velocity and shock strength modified by ove rtaking waves has been obtained under two conditions: viz., (i) when t he applied axial magnetic field is strong and (ii) when the field is w eak. The results obtained here are compared with those for a freely pr opagating shock. The conclusions arrived at agreed with experimental r esults. It is shown that the applications of the CCW method and the ne glect of overtaking disturbances are equivalent.