Self-similar solutions are obtained for one-dimensional unsteady adiabatic flow behind a magnetogasdynamics cylindrical shock wave propagating in a rotational axisymmetric non-ideal gas with increasing energy and conductive and radiative heat fluxes in the presence of an azimuthal magnetic field. The azimuthal and axial components of the fluid velocity and the azimuthal magnetic field in the ambient medium are assumed to be varying and obeying power laws. In order to find the similarity solution, the angular velocity of the ambient medium is taken to be decreasing as the distance from the axis increases. Fourier’s law is used to express the heat conduction and the radiation is assumed to be of diffusion type for an optically thick gray gas model. The absorption coefficient and thermal conductivity are assumed to be dependent on temperature and density. The effects of the non-idealness of the gas and the magnetic field on the shock propagation and on the flow variables behind the shock front are investigated. A comparison between rotating and non-rotating medium is also, made. It is shown that the non-idealness of the gas and the magnetic field have a decaying effect on the shock wave, whereas the shock strength increases due to the consideration of rotating medium.

中文翻译：

---

旋转的轴对称非理想气体中的磁动力冲击波，其能量，传导和辐射热通量均增加

对于在存在方位角磁场的情况下，在具有增加的能量以及传导和辐射热通量的旋转轴对称非理想气体中传播的气动力圆柱冲击波后面的一维非恒定绝热流，获得了自相似解。假定环境介质中流体速度和方位磁场的方位角和轴向分量是变化的，并且遵循幂定律。为了找到相似性解，环境介质的角速度被认为随着与轴的距离的增加而减小。使用傅里叶定律表示热传导，并且对于光学较厚的灰色气体模型，假定辐射为扩散类型。假设吸收系数和热导率取决于温度和密度。研究了气体和磁场的非理想性对冲击传播和冲击前沿后面的流动变量的影响。还对旋转介质和非旋转介质进行了比较。结果表明，气体和磁场的非理想性对冲击波具有衰减作用，而冲击强度由于旋转介质的考虑而增加。