Hypersonic Flow past a Plane Magnetic Dipole with Parallel Orientation of the Magnetic Moment and Free-Stream Velocity Vectors for Moderate Magnetic Reynolds Numbers

摘要

The two-dimensional problem of hypersonic flow past a cylindrical body with a plane magnetic dipole in the presence of an external magnetic field is considered. The magnetic moment of the dipole is parallel to the free-stream velocity. The flow parameters correspond to a velocity of 7000 m/s at an altitude of approximately 65 km in the Earth's atmosphere. The system of MHD equations (the Euler equations with volume MHD momentum and energy sources and the magnetic induction equation) was solved using the stabilization method. The calculations were carried out for two magnetic Reynolds numbers: (Re{sub}m){sub}1 =0.18 (corresponds to the parameters of the equilibrium ionized plasma in the shock layer) and (Re{sub}m){sub}2 = 1.8 (the plasma conductivity increases by a factor of 10). The solutions obtained are analyzed, the effect of Re{sub}m on the flow characteristics, namely, the shock wave stand-off from the body, the configuration of the vortex structures, and the aerodynamic and ponderomotive components of the body drag, is determined.