Local Description of the Flow behind a Steady, Two-Dimensional, Curved Shock Wave

抄録

The local properties of the rotational flow field behind a steady, two-dimensional, curved shock wave which occurs in a supersonic uniform flow of a perfect gas are considered. The states of flow field in the vicinity of a point on a shock wave are described as a power series about this point under the assumption that the shape of the shock wave is regular. The hodograph transformation of such a field becomes singular at the points where Jacobian relating to the transformation vanishes. The fields in the vicinity of such singular points are discussed in detail.