Estimating pressure drop and Ergun/Forchheimer parameters of flow through packed bed of spheres with large particle diameters

Characterization of flow through packed bed of spheres with large particle diameters (O ~ m) is important in industrial applications, such as mining, geothermal, oil and gas, and construction industries. In this study, a three-dimensional pore-scale mathematical model of packed bed of spheres with l...

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Bibliographic Details
Published in:Powder technology 2019-11, Vol.356, p.310-324
Main Authors: Amiri, Leyla, Ghoreishi-Madiseh, Seyed Ali, Hassani, Ferri P., Sasmito, Agus P.
Format: Article
Language:English
Subjects:
Computer applications
Computer simulation
Construction industry
Diameters
Ergun correlation
Flow
Forchheimer correlation
Industrial applications
Large particle
Mathematical models
Membrane permeability
Packed bed
Packed beds
Permeability
Porosity
Pressure drop
Spheres
Three dimensional models
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Summary:Characterization of flow through packed bed of spheres with large particle diameters (O ~ m) is important in industrial applications, such as mining, geothermal, oil and gas, and construction industries. In this study, a three-dimensional pore-scale mathematical model of packed bed of spheres with large particle diameters considering uniform and non-uniform particle size distributions is developed and validated against experimental data. It was found that the available correlations fail to predict flow behavior in packed bed with larger particle sizes. Hence, Ergun and Forchheimer theories along with pore-scale mathematical model are utilized to simulate and develop permeability (Carman-Kozeny) and inertial resistance (Forchheimer) correlations which are valid for flow through packed bed of spheres with large particle sizes, i.e. sphere diameter from 0.04 to 1.2 m and porosity between 0.2 and 0.7. The developed correlation can be used in either analytical or volume-averaged computational models which is useful for industrial/practical. [Display omitted] •Pore-scale model of flow through packed bed of spheres with large particle diameters.•Model is validated with experimental data.•Available correlations fail to predict flow behavior in packed bed with larger particles.•New correlation is proposed for Ergun and Forchheimer parameters; valid for particle size 0.04–1.2 m, porosity 0.2–0.7.•Permeability and inertial resistance are functions of porosity and particle size.
ISSN:0032-5910
1873-328X
DOI:10.1016/j.powtec.2019.08.029