On the forces acting on a small particle in an acoustical field in a viscous fluid

Details On the forces acting on a small particle in an acoustical field in a viscous fluid On the forces acting on a small particle in an acoustical field in a viscous fluid

2011-10-27

arxiv.org/abs/1110.6037v1

Phys. Rev. E 85, 016327 1-12 (2012)

Physics

Fluid Dynamics

12 pages, 4 figures

Scientific paper

10.1103/PhysRevE.85.016327

We calculate the acoustic radiation force from an ultrasound wave on a compressible, spherical particle suspended in a viscous fluid. Using Prandtl--Schlichting boundary-layer theory, we include the kinematic viscosity of the solvent and derive an analytical expression for the resulting radiation force, which is valid for any particle radius and boundary-layer thickness provided that both of these length scales are much smaller than the wavelength of the ultrasound wave (mm in water at MHz frequencies). The acoustophoretic response of suspended microparticles is predicted and analyzed using parameter values typically employed in microchannel acoustophoresis.

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