Converging magnetogasdynamic cylindrical shock waves in a uniform atmosphere
A self-similar solution to the problem of the implosion of a cylindrical shock wave in the presence of a magnetic field has been investigated. A strong shock wave in a cylindrically-symmetric flow travels to the axis of symmetry through a gas of uniform initial density \(\rho_ 0\) and zero-pressure. A comparative study has been made between the results obtained in ordinary gasdynamics and magnetogasdynamics with transverse and axial components of the magnetic field. The value of similarity exponent \(\alpha\) has been assigned from that found in the paper of Whitham.
scientific article; zbMATH DE number 3970406