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Effect of particle orientation on the drag force in random arrays of oblate ellipsoids in low‐Reynolds ‐number flows
Author(s) -
Li Xinyang,
Jiang Ming,
Huang Zheqing,
Zhou Qiang
Publication year - 2021
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.17040
Subject(s) - ellipsoid , sphericity , drag , orientation (vector space) , reynolds number , mechanics , particle (ecology) , physics , oblate spheroid , aspect ratio (aeronautics) , shape factor , work (physics) , drag coefficient , classical mechanics , geometry , mathematics , thermodynamics , geology , oceanography , optoelectronics , astronomy , turbulence
Through particle‐resolved direct numerical simulations of flows past random arrays of oblate ellipsoids at low Reynolds numbers, this work demonstrates how the drag force on oblate ellipsoids depends on the Hermans orientation factor S , the mean crosswise sphericity φ ⊥ , the aspect ratio AR , and the solid volume fraction c . Wide ranges of S , AR , and c are considered and they are in the intervals (−0.5, 1), (0.2, 0.8), and (0.1, 0.4), respectively. This study extends the work on prolate ellipsoids by Li et al (AIChE Journal, 2019, 65, e16621). Based on the simulation results, two models are respectively developed using S and φ ⊥ as the independent orientation factor. The model based on S could give accurate prediction of the drag force and the lateral force exerted on arrays of particles. The model based on φ ⊥ is able to use one generalized drag correlation for both oblate and prolate ellipsoids.