Flow and heat transfer simulation with a thermal large eddy lattice Boltzmann method in an annular gap with an inner rotating cylinder

Maximilian Gaedtke, Tabitha Hoffmann, Volkmar Reinhardt (), Gudrun Thäter (), Hermann Nirschl () and Mathias J. Krause
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Maximilian Gaedtke: Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Straße am Forum 8, 76131 Karlsruhe, Germany†Institute for Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, Straße am Forum 8, 76131 Karlsruhe, Germany
Tabitha Hoffmann: Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Straße am Forum 8, 76131 Karlsruhe, Germany‡SEW-EURODRIVE GmbH & Co KG, Ernst-Blickle-Straße 42, 76646 Bruchsal, Germany
Volkmar Reinhardt: #x2021;SEW-EURODRIVE GmbH & Co KG, Ernst-Blickle-Straße 42, 76646 Bruchsal, Germany
Gudrun Thäter: #xA7;Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Englerstrasse 2, 76131 Karlsruhe, Germany
Hermann Nirschl: #x2020;Institute for Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, Straße am Forum 8, 76131 Karlsruhe, Germany
Mathias J. Krause: Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Straße am Forum 8, 76131 Karlsruhe, Germany†Institute for Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, Straße am Forum 8, 76131 Karlsruhe, Germany§Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Englerstrasse 2, 76131 Karlsruhe, Germany

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 02n03, 1-25

Abstract: In this study, a thermal Large Eddy Lattice Boltzmann Method (LBM–LES) is applied to Taylor–Couette flow simulations, allowing detailed analysis of local heat transport over a wide range of Taylor numbers, including resolved transient Taylor vortices.The challenge in thermal management of electric motors is to control the temperature in the air gap between rotor and stator due to the gap’s small width and complex geometry, in which Taylor vortices strongly influence the heat transfer. This thin gap — here simplified by an annulus — is solved for the first time by a Thermal Lattice Boltzmann Method with a Smagorinsky sub-grid model. The influence of the rotational velocity of the inner cylinder with Taylor numbers from 36 to 511 — corresponding to a Reynolds number on the inner cylinder of up to 126000 — is numerically investigated.The simulations are validated on the basis of the global Nusselt number, where we find good agreement with a published measurement series, an empirical correlation and Finite Volume simulations using the SST turbulence model. Special attention is paid on predicting the critical Taylor number, which is reproduced almost exactly by Direct Numerical Simulations (DNS) with LBM, whereas LBM–LES slightly overestimates and the SST model further overestimates the occurrence of Taylor vortices.

Keywords: Lattice Boltzmann Method (LBM); Large Eddy Simulation (LES); Taylor–Couette Flow; Taylor vortex/vortices; turbulent heat transfer; OpenLB (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S012918311950013X

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