"Stokes' Second Problem in High Frequency Limit. Application to Micro (Nano)- Resonators
Yakhot, V. · Colosqui, C.
Original · EN
Using kinetic equation in the relaxation approximation (RTA), we investigate a flow generated by an infinite plate oscillating with frequency ω. 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 behavior of Newtonian fluid (ωτ→ 0) to purely elastic dynamics in the limit ωτ→ ∞ is discovered. The relation of the derived solutions to microfluidics (high-frequency micro-resonators) is demonstrated on an example of a "plane oscillator.
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