LAPSE:2023.26372
Published Article

LAPSE:2023.26372
Mathematical Modeling and Pointwise Validation of a Spouted Bed Using an Enhanced Bed Elasticity Approach
April 3, 2023
Abstract
With a Euler−Euler (E2P) approach, a mathematical model for predicting the pointwise hydrodynamic behavior of a spouted bed was implemented though computational fluid dynamics (CFD) techniques. The model considered a bed elasticity approach in order to reduce the number of required sub-models to provide closure for the solids stress strain-tensor. However, no modulus of elasticity sub-model for a bed elasticity approach has been developed for spouted beds, and thus, large deviations in the predictions are obtained with common sub-models reported in literature. To overcome such a limitation, a new modulus of elasticity based on a sensitivity analysis was developed and implemented on the E2P model. The model predictions were locally validated against experimental measurements obtained in previous studies. The experimental studies were conducted using our in-house developed advanced γ-ray computed tomography (CT) technique, which allows to obtain the cross-sectional time-averaged solids holdup distribution. When comparing the model predictions against the experimental measurements, a high predictive quality for the radial solids holdup distribution in the spout and annulus regions is observed. The model predicts most of the experimental measurements for different particle diameters, different static bed heights, and different inlet velocities with deviations under 15%, with average absolute relative errors (AARE) between 5.75% and 7.26%, and mean squared deviations (MSD) between 0.11% and 0.24%
With a Euler−Euler (E2P) approach, a mathematical model for predicting the pointwise hydrodynamic behavior of a spouted bed was implemented though computational fluid dynamics (CFD) techniques. The model considered a bed elasticity approach in order to reduce the number of required sub-models to provide closure for the solids stress strain-tensor. However, no modulus of elasticity sub-model for a bed elasticity approach has been developed for spouted beds, and thus, large deviations in the predictions are obtained with common sub-models reported in literature. To overcome such a limitation, a new modulus of elasticity based on a sensitivity analysis was developed and implemented on the E2P model. The model predictions were locally validated against experimental measurements obtained in previous studies. The experimental studies were conducted using our in-house developed advanced γ-ray computed tomography (CT) technique, which allows to obtain the cross-sectional time-averaged solids holdup distribution. When comparing the model predictions against the experimental measurements, a high predictive quality for the radial solids holdup distribution in the spout and annulus regions is observed. The model predicts most of the experimental measurements for different particle diameters, different static bed heights, and different inlet velocities with deviations under 15%, with average absolute relative errors (AARE) between 5.75% and 7.26%, and mean squared deviations (MSD) between 0.11% and 0.24%
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Keywords
CFD modeling, elasticity modulus, Euler-two-phase model, spouted bed, validation experiments
Subject
Suggested Citation
Uribe S, Qi B, Farid O, Al-Dahhan M. Mathematical Modeling and Pointwise Validation of a Spouted Bed Using an Enhanced Bed Elasticity Approach. (2023). LAPSE:2023.26372
Author Affiliations
Uribe S: Chemical and Biochemical Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA [ORCID]
Qi B: Chemical and Biochemical Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA
Farid O: Chemical and Biochemical Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA
Al-Dahhan M: Chemical and Biochemical Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA; Mining and Nuclear Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA
Qi B: Chemical and Biochemical Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA
Farid O: Chemical and Biochemical Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA
Al-Dahhan M: Chemical and Biochemical Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA; Mining and Nuclear Engineering Department, Missouri University of Science and Technology, Rolla, MO 65409, USA
Journal Name
Energies
Volume
13
Issue
18
Article Number
E4738
Year
2020
Publication Date
2020-09-11
ISSN
1996-1073
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Original Submission
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PII: en13184738, Publication Type: Journal Article
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LAPSE:2023.26372
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https://doi.org/10.3390/en13184738
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