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Propagation of cylindrical shock wave in a rotational axisymmetric non-ideal gas with axial magnetic field, radiation heat flux and the components of vorticity vectors are investigated. The axial magnetic field and the fluid velocity in the ambient medium are assumed to vary and obey the power laws. An exact similarity solution is obtained. The total energy of the shock wave is not constant but increases with time. The effects of variation of parameter of non-idealness of the gas, the Alfven-Mach number and the adiabatic exponent of the gas are investigated. It is shown that an increase in the non-idealness of the gas or the ratio of specific heats of the gas or strength of initial magnetic field decreases the shock strength but increases the shock velocity. Further it is observed an increase in the value of parameter of non-idealness of the gas and adiabatic exponent of the gas have same behavior on the flow variables and the shock strength.

modelling, measurement and control. b, solid and fluid mechanics and thermics, mechanical systems

An exact solution for the propagation of cylindrical shock waves in a rotational axisymmetric non-ideal gas with axial magnetic field and radiative heat flux