Bw. Vanoudheusden et al., TOPOLOGICAL INTERPRETATION OF THE SURFACE FLOW VISUALIZATION OF CONICAL VISCOUS INVISCID INTERACTIONS/, Journal of Fluid Mechanics, 316, 1996, pp. 115-137
The asymptotic flow structure is considered for a viscous-inviscid con
ical interaction, in particular that between a swept shock wave and a
boundary layer. A flow model is devised based on the three-layer inter
action concept. Assuming conicity of the inviscid flow regions, a visc
ous layer structure is established that is compatible with the invisci
d outer how, and which produces a geometrically conical surface flow p
attern. This result is obtained from a dimensional analysis, which rev
eals similarity of the viscous layer in cross-flow planes at different
radial distances from the conical origin. The results of this analysi
s provide a tool for the quantitative interpretation of surface flow v
isualizations in terms of the related topological structure of the flo
w in the cross-how plane. This method is illustrated by application to
the surface flow visualization of a Mach 3 shock-wave/boundary-layer
interaction.