
pmid: 25019882
In microfluidic applications involving high-frequency acoustic waves over a solid boundary, the Stokes boundary-layer thickness $��$ is so small that some non-negligible slip may occur at the fluid-solid interface. This paper assesses the impact of the slip by revisiting the classical problem of steady acoustic streaming over a flat boundary with the Navier boundary condition $u|_{y=0} = L_\mathrm{s} \partial_y u|_{y=0}$, where $u$ is the velocity tangent to the boundary $y=0$, and the parameter $L_\mathrm{s}$ is the slip length. The limit outside the boundary layer provide an effective slip velocity. A general expression is obtained for the streaming velocity outside the boundary layer as a function of the dimensionless parameter $L_\mathrm{s}/��$. Particularising to travelling and standing waves shows that the boundary slip respectively increases and decreases the streaming velocity.
11 pages, 3 figures
MICROFLUIDICS, Motion, WAVES, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Acoustics, 76N20, Models, Theoretical, FLUID
MICROFLUIDICS, Motion, WAVES, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Acoustics, 76N20, Models, Theoretical, FLUID
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