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Title: Numerical calculation of the particle–fluid–particle stress in random arrays of fixed particles

Abstract

Based on the nearest particle statistics [Zhang, J. Fluid Mech. 910, A16 (2021)], the phase interaction force in a multiphase flow is decomposed into a particle–mean-field force and the divergence of the particle–fluid–particle (PFP) stress. The PFP stress is proportional to the correlation product of the distance from a particle to its nearest neighbor and the force on the particle conditionally averaged on the nearest-neighbor location. In this work, a functional form of the stress is obtained corrected to the first order of the ratio between the interparticle distance and the macroscopic length scale of the flow. Particle-resolved numerical simulations are used to calculate the PFP stress in random arrays of fixed particles and to explore the physics represented by the stress. The numerical results show that the PFP stress is attractive along the direction of the flow and is repulsive in the directions perpendicular to the flow. In the flow regime simulated, this PFP stress can be considered as a macroscopic representation of the drafting–kissing–tumbling mechanism. Finally, the Reynolds stress for the fluid phase is also calculated and compared with the PFP stress.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [1];  [2]
+ Show Author Affiliations
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Florida, Gainesville, FL (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); US Office of Naval Research (ONR)
OSTI Identifier:
1834526
Report Number(s):
LA-UR-21-20229
Journal ID: ISSN 2469-990X; TRN: US2300528
Grant/Contract Number:  
89233218CNA000001; NA0002378; N00014-16-1-2617
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 6; Journal Issue: 10; Journal ID: ISSN 2469-990X
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Fluid-particle interactions; fluidized beds; particle-laden flows

Citation Formats

Wang, Min, Yang, Yunchao, Zhang, Duan Z., and Balachandar, S. Numerical calculation of the particle–fluid–particle stress in random arrays of fixed particles. United States: N. p., 2021. Web. doi:10.1103/physrevfluids.6.104306.
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Wang, Min, Yang, Yunchao, Zhang, Duan Z., & Balachandar, S. Numerical calculation of the particle–fluid–particle stress in random arrays of fixed particles. United States. https://doi.org/10.1103/physrevfluids.6.104306
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Wang, Min, Yang, Yunchao, Zhang, Duan Z., and Balachandar, S. Fri . "Numerical calculation of the particle–fluid–particle stress in random arrays of fixed particles". United States. https://doi.org/10.1103/physrevfluids.6.104306. https://www.osti.gov/servlets/purl/1834526.
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@article{osti_1834526,
title = {Numerical calculation of the particle–fluid–particle stress in random arrays of fixed particles},
author = {Wang, Min and Yang, Yunchao and Zhang, Duan Z. and Balachandar, S.},
abstractNote = {Based on the nearest particle statistics [Zhang, J. Fluid Mech. 910, A16 (2021)], the phase interaction force in a multiphase flow is decomposed into a particle–mean-field force and the divergence of the particle–fluid–particle (PFP) stress. The PFP stress is proportional to the correlation product of the distance from a particle to its nearest neighbor and the force on the particle conditionally averaged on the nearest-neighbor location. In this work, a functional form of the stress is obtained corrected to the first order of the ratio between the interparticle distance and the macroscopic length scale of the flow. Particle-resolved numerical simulations are used to calculate the PFP stress in random arrays of fixed particles and to explore the physics represented by the stress. The numerical results show that the PFP stress is attractive along the direction of the flow and is repulsive in the directions perpendicular to the flow. In the flow regime simulated, this PFP stress can be considered as a macroscopic representation of the drafting–kissing–tumbling mechanism. Finally, the Reynolds stress for the fluid phase is also calculated and compared with the PFP stress.},
doi = {10.1103/physrevfluids.6.104306},
journal = {Physical Review Fluids},
number = 10,
volume = 6,
place = {United States},
year = {2021},
month = {10}
}
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https://doi.org/10.1103/physrevfluids.6.104306
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