Slip-flow lattice-Boltzmann simulations in ducts and porous media: A full rehabilitation of spurious velocities

Aminpour, M, Galindo-Torres, SA ORCID: 0000-0002-2400-2794, Scheuermann, A and Li, L (2018) Slip-flow lattice-Boltzmann simulations in ducts and porous media: A full rehabilitation of spurious velocities. PHYSICAL REVIEW E, 98 (4). 043110-.

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Official URL: http://dx.doi.org/10.1103/physreve.98.043110

Abstract

Slip flow in ducts and porous media is simulated using lattice-Boltzmann method incorporated with interfacial force models. The dependence of the results on the viscosity, LBM scheme (D3Q15 and D3Q19) and the relaxation time model (single- or multirelaxation time) is investigated. The severity of spurious velocities (arisen from classic and advanced interfacial force models) is discussed that leads to entirely nonphysical results for whole flow rates (0.027<Re<10.7). A simple method based on superposition of solutions is proposed to fully rehabilitate the simulations. We validate the method by showing the simulations versus analytical solution of slip flow through circular ducts. The validity of the rehabilitated results for porous media applications are also tested through two approaches: First, we show that the rehabilitation method is independent to the force scheme used, i.e., the rehabilitated results are identical in both pore and macroscales for different force schemes with different distributions of spurious velocities. Second, using an analogy based on the Kozeny-Carman model, we show that the permeability variation in porous media resulted from the flow slippage obtained from rehabilitated simulations is reliable. We argue that to obtain correct results, it is necessary to use the rehabilitation method whenever interfaical force models are used in LB simulations. The results reveal that the permeability of porous media may increase or decrease with positive or negative slippage (repulsive and attractive interfaces), respectively. The permeability enhancement rate increases as the system becomes simpler in its interfaces, i.e., for the same positive slippage of flow, (κκNS)parallelplates>(κκNS)squareducts>(κκNS)porousmedia (where κ is the permeability andNS denotes no-slip).

Item Type:	Article
Depositing User:	Symplectic Admin
Date Deposited:	15 Nov 2018 09:09
Last Modified:	17 Mar 2024 01:17
DOI:	10.1103/PhysRevE.98.043110
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3028873