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Published on: August 21, 2018
Hydrodynamic force on a particle oscillating in a viscous fluid near a wall with dynamic partial-slip boundary
1Institut für Theoretische Physik A, RWTH Aachen University, Aachen, Germany. ufelder@physik.rwth-aachen.de
Abstract:
The hydrodynamic force on a particle oscillating in a viscous fluid near a wall with partial-slip boundary condition is studied on the basis of the linearized Navier-Stokes equations. Both incompressible and compressible fluids are considered. It is assumed that the slip length characterizing the partial-slip boundary condition depends on frequency. The consequences of this assumption for the spectrum of Brownian motion near a wall are investigated and compared with a recent experiment.
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