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Discrete Boltzmann multi-scale modelling of non-equilibrium multiphase flows

Published online by Cambridge University Press:  03 November 2022

Yanbiao Gan Open the ORCID record for Yanbiao Gan [Opens in a new window] ,
Aiguo Xu Open the ORCID record for Aiguo Xu [Opens in a new window] ,
Huilin Lai Open the ORCID record for Huilin Lai [Opens in a new window] ,
Wei Li ,
Guanglan Sun  and
Sauro Succi Open the ORCID record for Sauro Succi [Opens in a new window]
Yanbiao Gan
Affiliation:
Hebei Key Laboratory of Trans-Media Aerial Underwater Vehicle, School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang 065000, PR China
Aiguo Xu*
Affiliation:
Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, PO Box 8009-26, Beijing 100088, PR China State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, PR China HEDPS, Center for Applied Physics and Technology, and College of Engineering, Peking University, Beijing 100871, PR China
Huilin Lai
Affiliation:
College of Mathematics and Statistics, FJKLMAA, Center for Applied Mathematics of Fujian Province (FJNU), Fujian Normal University, Fuzhou 350117, PR China
Wei Li
Affiliation:
Hebei Key Laboratory of Trans-Media Aerial Underwater Vehicle, School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang 065000, PR China
Guanglan Sun
Affiliation:
Hebei Key Laboratory of Trans-Media Aerial Underwater Vehicle, School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang 065000, PR China School of Physics, Beijing Institute of Technology, Beijing 100081, PR China
Sauro Succi
Affiliation:
Center for Life Nano Science at La Sapienza, Fondazione Istituto Italiano di Tecnologia, Viale Regina Margherita 295, 00161, Roma, Italy Physics Department and Institute for Applied Computational Science, John A. Paulson School of Applied Science and Engineering, Harvard University, Oxford Street 29, Cambridge, MA 02138, USA
*
†Email address for correspondence: Xu_Aiguo@iapcm.ac.cn
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Abstract

The aim of this paper is twofold: the first aim is to formulate and validate a multi-scale discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal multiphase flow systems, ranging from continuum to transition flow regime; the second aim is to present some new insights into the thermo-hydrodynamic non-equilibrium (THNE) effects in the phase separation process. Methodologically, for bulk flow, DBM includes three main pillars: (i) the determination of the fewest kinetic moment relations, which are required by the description of significant THNE effects beyond the realm of continuum fluid mechanics; (ii) the construction of an appropriate discrete equilibrium distribution function recovering all the desired kinetic moments; (iii) the detection, description, presentation and analysis of THNE based on the moments of the non-equilibrium distribution ( $f-f^{(eq)}$). The incorporation of appropriate additional higher-order thermodynamic kinetic moments considerably extends the DBM's capability of handling larger values of the liquid–vapour density ratio, curbing spurious currents, and ensuring mass/momentum/energy conservation. Compared with the DBM with only first-order THNE (Gan et al., Soft Matt., vol. 11 (26), 2015, pp. 5336–5345), the model retrieves kinetic moments beyond the third-order super-Burnett level, and is accurate for weak, moderate and strong THNE cases even when the local Knudsen number exceeds $1/3$. Physically, the ending point of the linear relation between THNE and the concerned physical parameter provides a distinct criterion to identify whether the system is near or far from equilibrium. Besides, the surface tension suppresses the local THNE around the interface, but expands the THNE range and strengthens the THNE intensity away from the interface through interface smoothing and widening.

JFM classification

Multiphase and Particle-laden Flows: Multiphase flow Rarefied Gas Flow: Kinetic theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 951 , 25 November 2022 , A8
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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