Abstract

The title problem for the Oseen-like model of Part I is solved exactly for the realistic case of flow limited to a channel with forward moving walls. The motion is governed by two simultaneous Wiener-Hopf equations, which uncouple when the oncoming flow is uniform. Then computation of the flow pattern is relatively easy and the nature of cross flow is clear. In particular, the occurrence of backflow (with its attached vortex) is examined. For true shear flow explicit formulas could only be obtained when the viscosity is small, but this is sufficient to prove the main result: second-order boundary-layer theory correctly gives the shear stress on the plate near the leading edge provided there is no total cross flux.

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