Hydromagnetic cylindrical variable energy blast wave through self-gravitating gas

Propagation of hydromagnetic cylindrical variable energy blast wave through a self-gravitating gas has been studied by modified similarity method. For an energy input Esub(α)=E0tsup(β) (1+e1 w+e2w2+...), where Esub(α) is the energy released upto time t, E0 is a functional constant, β, e1 and e2 etc. are constants and w is non-dimensional time, it is seen that the effects of non-uniformity caused by selfgravitation of the gas are essentially of third order. Dependence of flow variables on (i) the non-uniformity of the medium and (ii) the strength of energy input characterised respectively by the parameters A2 and various e-values has been discussed for both magnetic and non-magnetic cases. It is observed that an increase in magnetic field leads to an increase in shock velocity. (author)