# Stokes' second flow problem in a high-frequency limit: application to nanomechanical resonators

@article{Yakhot2007StokesSF, title={Stokes' second flow problem in a high-frequency limit: application to nanomechanical resonators}, author={Victor Yakhot and Carlos E. Colosqui}, journal={Journal of Fluid Mechanics}, year={2007}, volume={586}, pages={249 - 258} }

Solving the Boltzmann–BGK equation, we investigate a flow generated by an infinite plate oscillating with frequency ω. The geometrical simplicity of the problem allows a solution in the entire range of dimensionless frequency variation 0 ≤ ωτ ≤ ∞, where τ is a properly defined relaxation time. A transition from viscoelastic behaviour of a Newtonian fluid (ωτ → 0) to purely elastic dynamics in the limit ωτ → ∞ is discovered. The relation of the derived solutions to nanofluidics is demonstrated…

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