A semi-inverse method, based on boundary-layer equations, for simulati
on of duct flows with strong viscous/inviscid interaction is developed
. An improved interaction formula, based on the matching of parameters
in viscous and inviscid zones, is proposed. Using this method the lam
inar and turbulent flows in plane channels, swirl flow in annular chan
nels, and a bypass flow with downstream mixing of the trailing edge of
a splitter were calculated. The results for the plane channel and byp
ass flows are in good agreement with known experimental and theoretica
l data. The influence of swirl and parameters of the bypass flow on th
e separation zone structure were investigated. A new type of self-simi
lar solution for swirl boundary-layer equations was obtained.