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

Andrei Kulikovsky

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arXiv · 2210.04731

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

Andrei Kulikovsky

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Abstract

Transient Navies--Stokes equations for laminar flow of incompressible fluid in a channel with permeable wall are reduced to a single equation for the transversal profile of longitudinal flow velocity. Small--amplitude harmonic perturbation of injection velocity induces oscillations of longitudinal velocity with the peak at the walls. The oscillations amplitude in peaks dramatically increases with the distance along the channel; with the frequency growth peaks come closer to the walls.

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Andrei Kulikovsky. 2022-10-10. Oscillations of laminar flow velocity in a channel induced by harmonic perturbation of mass injection velocity through the permeable wall. https://arxiv.org/abs/2210.04731

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