Vorticity on the Surface of an Axially Symmetric Body behind a Detached Shock Wave

Closed vortex lines in fluid and gas

“…It consists in the fact that, in the plane case, along the streamlines, the ratio of vorticity to pressure 1 = Ω/ is maintained, and in the axisymmetric case the invariant is 2 = Ω/( ), where is the distance from the axis of symmetry. Another group of regularities includes the results discussed in [8][9][10][11], where formulas are obtained for calculating vorticity at some points of the flow behind a detached shock wave through the free stream parameters and through parameters determined by the shape of the shock wave (slope, curvature). We can also mention studies dealing with the existence of vortex flows of incompressible fluid with certain properties [12][13][14][15][16] and the principles of maximum in vortex flows [17][18][19][20][21].…”