IMPLODING CYLINDRICAL SHOCK IN A PERFECTLY CONDUCTING AND RADIATING GAS

Similarity solutions to a problem in radiative magnetogasdynamics with strong shocks are presented. Group theoretic methods are used to obta in a condition on the shock Cowling number, and to characterize the st ate dependent form of the gas absorption coefficient for which the sel f-similar solutions are admitted. Numerical calculations have been per formed to determine the value of the self-similar exponent and the pro files of the flow variables, which enable one to assess the influence of thermal radiation, the magnetic field strength, and the adiabatic h eat exponent on the flow pattern.