In this paper, the approximate analytical solution for the propagation of a blast (shock) wave in a rotating perfect gas in the case of cylindrical geometry is studied. The axial and azimuthal components of fluid velocity are taken into consideration, and these flow variables in the undisturbed medium are assumed to be varying according to the power laws with distance from the symmetry axis. The shock wave is considered to be strong one for the ratio \({\left(C/{W}_{S}\right)}^{2}\) to be a small quantity, where \(C\) is the sound velocity in undisturbed fluid and \({W}_{S}\) is the shock wave velocity. The initial density in the undisturbed medium is taken to be constant to obtain the similarity solution. To obtain the approximate analytical solution, the flow variables are expanded in power series in power of \({\left(C/{W}_{S}\right)}^{2}.\) The first- and second-order approximations to solutions are discussed with the help of power series expansion. The analytical solutions are constructed for the first-order approximation. The distribution of the flow variables for the first-order approximation in the flow-field region behind the blast wave is shown in graphs. A comparison is also made between the solutions obtained for non-rotating and rotating medium. It is shown that the constant quantity \({J}_{0}\) in the flow field region behind the shock front increases in rotating medium in comparison with its value in non-rotating medium; but an increase in adiabatic exponent causes a decrease in it. Further, it is concluded that shock strength increases with adiabatic exponent and decreases due to the consideration of the rotating medium.

本文研究了在圆柱几何条件下旋转的理想气体中爆炸（冲击）波传播的近似解析解。考虑了流体速度的轴向和方位分量，并且假定未扰动介质中的这些流量变量根据幂律随距对称轴的距离而变化。对于比率\（{\ left（C / {W} _ {S} \ right）} ^ {2} \）较小的情况，冲击波被认为是强冲击波，其中\（C \）为不受干扰的流体和\（{W} _ {S} \）中的声速是冲击波的速度。将未扰动介质中的初始密度取为常数以获得相似度解。为了获得近似解析解，流程变量在幂级数扩展中的功率\（{\左（C / {白} _ {S} \右）} ^ {2}。\）的第一代和第二在幂级数展开的帮助下讨论了解的阶次逼近。解析解是针对一阶近似构造的。图中显示了爆炸波后流场区域中一阶近似值的流量变量分布。还对非旋转介质和旋转介质获得的解决方案进行了比较。证明了恒定量\（{J} _ {0} \）与非旋转介质中的​​值相比，旋转介质中在冲击前沿后面的流场区域中的值增加。但是绝热指数的增加会导致绝热指数的减少。此外，可以得出结论，由于考虑了旋转介质，冲击强度随着绝热指数的增加而减小。