Lattice boltzmann equation calculation of internal, pressure-driven turbulent flow

HAMMOND, L. A., HALLIDAY, I., CARE, C. M. and STEVENS, A. (2007). Lattice boltzmann equation calculation of internal, pressure-driven turbulent flow. Journal of physics A-mathematical and general, 35 (47), 9945-9955.

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Link to published version:: https://doi.org/10.1088/0305-4470/35/47/301

Abstract

We describe a mixing-length extension of the lattice Boltzmann approach to the simulation of an incompressible liquid in turbulent flow. The method uses a simple, adaptable, closure algorithm to bound the lattice Boltzmann fluid incorporating a law-of-the-wall. The test application, of an internal, pressure-driven and smooth duct flow, recovers correct velocity profiles for Reynolds number to 1.25 × 105. In addition, the Reynolds number dependence of the friction factor in the smooth-wall branch of the Moody chart is correctly recovered. The method promises a straightforward extension to other curves of the Moody chart and to cylindrical pipe flow.

Item Type: Article
Additional Information: © Institute of Physics and IOP Publishing Limited
Research Institute, Centre or Group - Does NOT include content added after October 2018: Materials and Engineering Research Institute > Modelling Research Centre > Materials Modelling group
Identification Number: https://doi.org/10.1088/0305-4470/35/47/301
Page Range: 9945-9955
Depositing User: Ann Betterton
Date Deposited: 22 Oct 2007
Last Modified: 18 Mar 2021 21:31
URI: https://shura.shu.ac.uk/id/eprint/872

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