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

2022/10/10 by Andrei Kulikovsky, Kulikovsky, Andrei
Engineering · #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies

paper · pdf · doi:10.48550/arxiv.2210.04731

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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