Viscous Flow along a Vibrating Wall

Flow induced by a randomly vibrating boundary

We study the flow induced by random vibration of a solid boundary in an otherwise quiescent fluid. The analysis is motivated by experiments conducted under the low level and random effective acceleration field that is typical of a microgravity environment. When the boundary is planar and is being vibrated along its own plane, the variance of the velocity field decays as a power law of distance ...

Characteristics of Laterally Vibrating Resonant Microcantilevers in Viscous Liquid Media

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Hydrodynamic Loading of Microcantilevers Vibrating in Viscous Fluids

particle–wall collisions in a viscous fluid

The dynamics of particle–particle collisions and the bouncing motion of a particle colliding with a wall in a viscous fluid is numerically investigated. The dependence of the effective coefficient of restitution on the Stokes number and surface roughness is analysed. A distributed Lagrange multiplier-based computational method in a solid–fluid system is developed and an efficient method for pre...

Stability of viscous film flow coating the interior of a vertical tube with a porous wall.

The stability of the gravity-driven flow of a viscous film coating the inside of a tube with a porous wall is studied theoretically. We used Darcy's law to describe the motion of fluids in a porous medium. The Beaver-Joseph condition is used to describe the discontinuity of velocity at the porous-fluid interface. We derived an evolution equation for the film thickness using a long-wave approxim...