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Dixon AG. Local Structure Effects on Heat Transfer in Very Low Tube-to-Particle Diameter Ratio Fixed Beds of Spheres. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.1c01660] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Anthony G. Dixon
- Department of Chemical Engineering, Worcester Polytechnic Institute, 100 Institute Road, Worcester, Massachusetts 01609, United States
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2
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Fernengel J, Hinrichsen O. Influence of material properties on voidage of numerically generated random packed beds. Chem Eng Sci 2021. [DOI: 10.1016/j.ces.2020.116406] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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3
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Affiliation(s)
- Jennie Seckendorff
- Department of Chemistry Technical University of Munich Garching Germany
- Catalysis Research Center Technical University of Munich Garching Germany
- BU Catalysts Clariant Produkte (Deutschland) GmbH Bruckmühl Germany
| | - Olaf Hinrichsen
- Department of Chemistry Technical University of Munich Garching Germany
- Catalysis Research Center Technical University of Munich Garching Germany
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von Seckendorff J, Achterhold K, Pfeiffer F, Fischer R, Hinrichsen O. Experimental and numerical analysis of void structure in random packed beds of spheres. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2020.11.026] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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5
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Flaischlen S, Kutscherauer M, Wehinger GD. Local Structure Effects on Pressure Drop in Slender Fixed Beds of Spheres. CHEM-ING-TECH 2020. [DOI: 10.1002/cite.202000171] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Steffen Flaischlen
- Clausthal University of Technology Institute of Chemical and Electrochemical Process Engineering Leibnizstraße 17 38678 Clausthal-Zellerfeld Germany
- Clausthal University of Technology Research Center Energy Storage Technologies (EST) Am Stollen 19A 38640 Goslar Germany
| | - Martin Kutscherauer
- Clausthal University of Technology Institute of Chemical and Electrochemical Process Engineering Leibnizstraße 17 38678 Clausthal-Zellerfeld Germany
- Clariant AG Waldheimer Straße 15 83052 Bruckmühl Germany
| | - Gregor D. Wehinger
- Clausthal University of Technology Institute of Chemical and Electrochemical Process Engineering Leibnizstraße 17 38678 Clausthal-Zellerfeld Germany
- Clausthal University of Technology Research Center Energy Storage Technologies (EST) Am Stollen 19A 38640 Goslar Germany
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du Toit CG. Porous structure of cylindrical packed beds with aspect ratios between 1 and 2. NUCLEAR ENGINEERING AND DESIGN 2020. [DOI: 10.1016/j.nucengdes.2019.110451] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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7
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8
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Mean porosity variations in packed bed of monosized spheres with small tube-to-particle diameter ratios. POWDER TECHNOL 2019. [DOI: 10.1016/j.powtec.2019.07.001] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Luo X, Zhao L, Zhang S, Dong H, Feng J. Experimental and DEM studies on the distribution of voidage in the random filling bed of ellipsoidal particles. POWDER TECHNOL 2018. [DOI: 10.1016/j.powtec.2018.09.042] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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12
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Molina-Herrera FI, Castillo-Araiza CO, Jiménez-Islas H, López-Isunza F. The Effect of Turbulence on Momentum and Heat Transport in Packed Beds with Low Tube to Particle Diameter Ratio. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING 2018. [DOI: 10.1515/ijcre-2018-0060] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
This is a theoretical study about the influence of turbulence on momentum and heat transport in a packed-bed with low tube to particle diameter ratio. The hydrodynamics is given here by the time-averaged Navier-Stokes equations including Darcy and Forchheimer terms, plus a κ-ε two-equation model to describe a 2D pseudo-homogeneous medium. For comparison, an equivalent conventional flow model has also been tested. Both models are coupled to a heat transport equation and they are solved using spatial discretization with orthogonal collocation, while the time derivative is discretized by an implicit Euler scheme. We compared the prediction of radial and axial temperature observations from a packed-bed at particle Reynolds numbers (Rep) of 630, 767, and 1000. The conventional flow model uses effective heat transport parameters: wall heat transfer coefficient (hw) and thermal conductivity (keff), whereas the turbulent flow model includes a turbulent thermal conductivity (kt), estimating hw via least-squares with Levenberg-Marquardt method. Although predictions of axial and radial measured temperature profiles with both models show small differences, the calculated radial profiles of the axial velocity component are very different. We demonstrate that the model that includes turbulence compares well with mass flux measurements at the packed-bed inlet, yielding an error of 0.77 % in mass flux balance at Rep = 630. We suggest that this approach can be used efficiently for the hydrodynamics characterization and design and scale-up of packed beds with low tube to particle diameter ratio in several industrial applications.
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Guo Z, Sun Z, Zhang N, Ding M, Wen J. Experimental characterization of pressure drop in slender packed bed (1 Chem Eng Sci 2017. [DOI: 10.1016/j.ces.2017.08.022] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Du W, Quan N, Lu P, Xu J, Wei W, Zhang L. Experimental and statistical analysis of the void size distribution and pressure drop validations in packed beds. Chem Eng Res Des 2016. [DOI: 10.1016/j.cherd.2015.11.023] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Chigada PI. Characterisation of flow and heat transfer patterns in low aspect ratio packed beds by a 3D network-of-voids model. Chem Eng Res Des 2011. [DOI: 10.1016/j.cherd.2010.05.002] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Mariani NJ, Salvat WI, Martínez OM, Barreto GF. Packed bed structure: Evaluation of radial particle distribution. CAN J CHEM ENG 2002. [DOI: 10.1002/cjce.5450800202] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Mariani N, Martı́nez O, Barreto G. Computing radial packing properties from the distribution of particle centers. Chem Eng Sci 2001. [DOI: 10.1016/s0009-2509(01)00295-0] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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22
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Mariani NJ, Mazza GD, Martinez OM, Barreto GF. Evaluation of radial voidage profiles in packed beds of low-aspect ratios. CAN J CHEM ENG 2000. [DOI: 10.1002/cjce.5450780614] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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23
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Effect of solids loading method on bed porosity and gas flux distribution in a fixed-bed reactor. Chem Eng Sci 2000. [DOI: 10.1016/s0009-2509(00)00133-0] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Mueller GE. Angular porosity distributions in fixed packed beds of low diameter aspect ratio. CAN J CHEM ENG 1997. [DOI: 10.1002/cjce.5450750404] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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