Abstract

AbstractThe investigation of transonic viscous‐inviscid interactions is hampered by the fact that the nonlinear small disturbance equation which governs the external flow has to be solved simultaneously with the nonlinear boundary layer equations. This poses an extremely difficult numerical problem which has been treated so far with limited success only. However, if the medium is confined in a sufficiently narrow channel, the flow outside the viscous wall layers is one‐dimensional in the leading order approximation which in turn allows the derivation of a solution in closed form. This significantly simplifies the construction of numerical solutions which nevertheless display essential features of transonic flows associated with the transition from subsonic to supersonic conditions or/and vice versa.

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