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

DOI10.1017/S0022112007007148zbMath1119.76052arXivnlin/0609061OpenAlexW3098757727MaRDI QIDQ5308046

Carlos E. Colosqui, Victor Yakhot

Publication date: 26 September 2007

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0609061

zbMATH Keywords

relaxation timeBoltzmann-BGK equationoscillating plane

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (10)

Propagating high-frequency shear waves in simple fluids ⋮ Free-molecular heat transfer of vibrating cantilever and bridges ⋮ A note on Stokes’ problem in dense granular media using the -rheology ⋮ The exact solution of Stokes' second problem including start-up process with fractional element ⋮ The viscoplastic Stokes layer ⋮ A third-order accurate in time method for boundary layer flow problems ⋮ Lattice Boltzmann simulation of electromechanical resonators in gaseous media ⋮ Macroscopic description of arbitrary Knudsen number flow using Boltzmann–BGK kinetic theory. Part 2 ⋮ Flow generated by oscillatory uniform heating of a rarefied gas in a channel ⋮ Heat transfer enhancement in oscillatory flows of Newtonian and viscoelastic fluids

Cites Work

• Expanded analogy between Boltzmann kinetic theory of fluids and turbulence
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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