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Transient Navies--Stokes equations for laminar flow of incompressible fluidin a channel with permeable wall are reduced to a single equation for thetransversal profile of longitudinal flow velocity. Small--amplitude harmonicperturbation of injection velocity induces oscillations of longitudinalvelocity with the peak at the walls. The oscillations amplitude in peaksdramatically increases with the distance along the channel; with the frequencygrowth peaks come closer to the walls.

Oscillations of laminar flow velocity in a channel induced by harmonic perturbation of mass injection velocity through the permeable wall