Lattice Boltzmann method for oscillatory Stokes flow with applications to micro- and nanodevices

Shi, Yong and Sader, John E. (2010) Lattice Boltzmann method for oscillatory Stokes flow with applications to micro- and nanodevices. Physical Review E, 81 (3). ISSN 1539-3755

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Abstract

A lattice Boltzmann LB method based on the linearized Boltzmann Bhatnagar-Gross-Krook equation for numerical simulation of oscillatory unsteady Stokes flow is proposed. Unlike the conventional nonlinear LB method that utilizes the time domain exclusively, the proposed method is formulated in the frequency domain to allow for direct access to the complex-valued stress, force, and velocity field—these parameters are of direct interest in characterizing microelectromechanical systems MEMS and nanoelectromechanical systems NEMS . The proposed method circumvents the requirement for time-dependent boundary velocities, as is needed in the conventional LB method, and convergence of the two methods is compared. Validity of the proposed method is assessed using three classical unsteady flows: 1 one-dimensional oscillatory Couette flow between two plates; 2 two-dimensional flow generated by an oscillating circular cylinder; 3 three- dimensional flow generated by an oscillating sphere. The observed excellent numerical performance in all three cases demonstrates that this linear lattice Boltzmann method can be used to study the dynamics of micro- and nanoscale devices of any dimensionality. This is particularly relevant to MEMS and NEMS, where the reso- nance properties of individual nanomechanical components immersed in fluid can underpin overall device performance.

Item Type: Article
Additional Information: ©2010 American Physical Society
Keywords: Lattice Boltzmann; Oscillatory Stokes flow
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Identification Number: 10.1103/PhysRevE.81.036706
Depositing User: LI, Zhilin
Date Deposited: 22 Nov 2017 09:41
Last Modified: 24 Nov 2017 12:01
URI: http://eprints.nottingham.ac.uk/id/eprint/48186

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