Linearized lattice Boltzmann method for micro- and nanoscale flow and heat transfer

Shi, Yong and Yap, Ying Wan and Sader, John E. (2015) Linearized lattice Boltzmann method for micro- and nanoscale flow and heat transfer. Physical Review E, 92 (1). 013307/1-013307/13. ISSN 1550-2376

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Abstract

Ability to characterize the heat transfer in flowing gases is important for a wide range of applications involving micro- and nanoscale devices. Gas flows away from the continuum limit can be captured using the Boltzmann equation, whose analytical solution poses a formidable challenge. An efficient and accurate numerical simulation of the Boltzmann equation is thus highly desirable. In this article, the linearized Boltzmann Bhatnagar-Gross-Krook equation is used to develop a hierarchy of thermal lattice Boltzmann (LB) models based on half-space Gaussian-Hermite (GH) quadrature ranging from low to high algebraic precision, using double distribution functions. Simplified versions of the LB models in the continuum limit are also derived, and are shown to be consistent with existing thermal LB models for noncontinuum heat transfer reported in the literature. Accuracy of the proposed LB hierarchy is assessed by simulating thermal Couette flows for a wide range of Knudsen numbers. Effects of the underlying quadrature schemes (half-space GH vs full-space GH) and continuum-limit simplifications on computational accuracy are also elaborated. The numerical findings in this article provide direct evidence of improved computational capability of the proposed LB models for modeling noncontinuum flows and heat transfer at small length scales.

Item Type: Article
Additional Information: ©2015 American Physical Society
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Identification Number: 10.1103/PhysRevE.92.013307
Depositing User: LIN, Zhiren
Date Deposited: 16 Oct 2017 09:42
Last Modified: 16 Oct 2017 09:42
URI: http://eprints.nottingham.ac.uk/id/eprint/47280

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