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Lattice Boltzmann simulation of electromechanical resonators in gaseous media

Published online by Cambridge University Press:  30 March 2010

CARLOS E. COLOSQUI ,
DEVREZ M. KARABACAK ,
KAMIL L. EKINCI  and
VICTOR YAKHOT
CARLOS E. COLOSQUI*
Affiliation:
Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA
DEVREZ M. KARABACAK
Affiliation:
IMEC Holst Centre, Eindhoven, 5605 KN, The Netherlands
KAMIL L. EKINCI
Affiliation:
Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA
VICTOR YAKHOT
Affiliation:
Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA
*
†Present address: Department of Chemical Engineering, Princeton University, Princeton, NJ 08544, USA. Email address for correspondence: [email protected]
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Abstract

In this work, we employ a kinetic-theory-based approach to predict the hydrodynamic forces on electromechanical resonators operating in gaseous media. Using the Boltzmann–BGK equation, we investigate the influence of the resonator geometry on the fluid resistance in the entire range of non-dimensional frequency variation 0 ≤ τω ≤ ∞; here the fluid relaxation time τ = μ/p is determined by the gas viscosity μ and pressure p at thermodynamic equilibrium, and ω is the (angular) oscillation frequency. Our results here capture two important aspects of recent experimental measurements that covered a broad range of experimental parameters. First, the experimentally observed transition from viscous to viscoelastic flow in simple gases at τω ≈ 1 emerges naturally in the numerical data. Second, the calculated effects of resonator geometry are in agreement with experimental observations.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 652 , 10 June 2010 , pp. 241 - 257
Copyright
Copyright © Cambridge University Press 2010

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