Abstract

A similarity solution of the Navier-Stokes equations that describes the two-dimensional flow of a viscous incompressible fluid through a channel with one porous wall is analysed. The analysis, which determines the number and character of solutions in various cases according to the higher-order boundary conditions at the impermeable wall of the channel, agrees with asymptotic results in the limits of small and large Reynolds numbers. Flow in a channel with one or two accelerating walls is similarly analysed.

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