Ionizing blast waves in a non-ideal gas under isothermal flow condition: Power Series Method

In this work, the propagation of blast waves in a non-ideal gas for isothermal flow with the effect of the azimuthal magnetic field is investigated. It is supposed that the magnetic field is directed orthogonally to the motion of the gas particles having zero electrical resistance. Approximate solutions are obtained analytically by expanding the flow parameters in the form of power series for the cylindrically symmetric motion using Sakurai's technique. The flow variables are determined behind the shock. The effects of the parameter of non-idealness and the magnetic field strength on the flow density, velocity, pressure and magnetic pressure of the flow are discussed in detail and shown graphically. It is observed that an increase in the value of the parameter of non-idealness causes a decrease in the flow velocity, density and magnetic pressure, while pressure behaves reversely. The magnetic pressure and flow velocity increase with the magnetic field, while the flow density and pressure decrease with an increase in the magnetic field. Some of the applications of the present work include experiments on pinch effect, an explosion of long thin wire, and certain axially symmetric hypersonic problems.