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Thermophysics and Aeromechanics

2007 year, number 3

Velocity vorticity vector behavior in supersonic flows behind discontinuity surfaces

V.A. Levin and G.A. Skopina
Institute of Automation and Control Processes, Far-Eastern Branch of RAS, Vladivostok, Russia
Pages: 363–371


The behavior of the velocity vorticity vector on a discontinuity surface arising in the supersonic non-uniform flow of combustible gas around a body with the formation of a shock or detonation wave is studied. The free stream is generally vortical and has a given distribution of parameters. The formulas are obtained for the vorticity vector components in a special coordinate system related to the wave. It is shown that in this case the vorticity vector normal to the wave remains continuous across the discontinuity surface, and in the case of axisymmetric flows, also the quantity remains continuous, which is equal to the ratio of the tangent vorticity component to density, although the quantities themselves taken separately undergo a discontinuity.