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Modelling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method

Modelling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method

Mohammed, S., Graham, D. I. and Reis, T. ORCID: 0000-0003-2671-416X (2020) Modelling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method. Physics of Fluids, 32 (2):025104. ISSN 1070-6631 (Print), 1089-7666 (Online) (doi:https://doi.org/10.1063/1.5131865)

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Abstract

We study the physics of flow due to the interaction between a viscous dipole and boundaries that permit slip. This includes partial and free slip, and interactions near corners. The problem is investigated by using a two relaxation time lattice Boltzmann equation (TRT-LBE) with moment-based boundary conditions. Navier-slip conditions, which involve gradients of the velocity, are formulated and applied locally. The implementation of free-slip conditions with the moment-based approach is discussed. Collision angles of 0, 30, and 45 degrees are investigated. Stable simulations are shown for Reynolds numbers between 625 and 10000 and various slip lengths. Vorticity generation on the wall is shown to be affected by slip length, angle of incidence, and Reynolds number. An increase in wall slippage causes a reduction in the number of higher-order dipoles created. This leads to a decrease in the magnitude of the entrophy peaks and reduces the dissipation of energy. The dissipation of the energy and its relation to the enstrophy are also investigated theoretically, confirming quantitatively how the presence of slip modifies this relation.

Item Type: Article
Uncontrolled Keywords: lattice Boltzmann equation, slip boundary conditions, turbulence, vortex dynamics
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Last Modified: 05 Feb 2020 10:30
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/26768

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