EXACT SOLUTION FOR A MAGNETOGASDYNAMICAL CYLINDRICAL SHOCK WAVE IN A SELF-GRAVITATING ROTATING PERFECT GAS WITH RADIATION HEAT FLUX AND VARIABLE DENSITY

An exact similarity solution for a magnetoradiative cylindrical shock wave in a self-gravitating rotating perfect gas is obtained. The density, azimuthal velocity, and magnetic fi eld strength are assumed to vary in an undisturbed medium. It is shown that the fl ow variables, namely, the radial velocity, pressure, magnetic fi eld strength, azimuthal velocity, mass, and the radiation fl ux, decrease from the highest values at the shock front to zero; however, the density tends to infi nity as the symmetry axis is approached. The effects of variation in the magnetic fi eld strength, gravitational parameter, rotational parameter, and in the adiabatic exponent on the fl ow variables and shock strength are discussed. The solutions obtained for self-gravitating and nongravitating media are compared. The total energy of the shock wave is shown to be not constant.
   
Author:  G. Nath, Sumeeta Singh, and Pankaj Srivastava
Keywords:  shock waves, magnetogasdynamics, self-gravitating gas, perfect gas, radiation heat flux
Page:  1302