Similarity solutions for the strong shock waves in magnetogasdynamics with the effect of monochromatic radiation
Department of Applied Science and Engineering, Indian Institute of Technology, Roorkee, Roorkee, India
Accepted: 12 September 2020
Published online: 21 September 2020
In this paper, the method of invariance of Lie group is used to find the similarity solutions of the cylindrical shock waves for one-dimensional unsteady flow in magnetogasdynamics in the presence of monochromatic radiation. The density is assumed to be non-uniform ahead of the shock. The radiation flux is assumed to move through the gas. It is also shown that how the radiation parameter, ambient density exponent, ratio of specific heats (adiabatic constant) and the initial magnetic field strength affect the profiles of the flow variables. It is found that the shock wave decays in the presence of strong magnetic field and shows reverse behavior in the case of monochromatic radiation, i.e., the shock wave grows faster in the presence of radiation. To obtain the similarity solutions and the profiles of the flow variables, numerical calculations are performed using the software package MATHEMATICA.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020