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The MOM formulated by Hulburt and Katz has a serious drawback since the size-dependent part of the particle growth function must have a special form to satisfy moment closure.
“However, the MOM formulated by Hulburt and Katz has a serious drawback since the size-dependent part of the particle growth function must have a special form to satisfy moment closure.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [300]
The method of moments (MOM) traces its origins to Hulburt and Katz [300], who formulated a PDE for the number density of particles from ODEs in phase space, distinguishing external and internal coordinates.
“Adifferent approach than the CM is represented by the method of moments (MOM) that traces back its origins from the work of Hulburt and Katz [300]. They formulated a partial differential equation (PDE) for the number density of particles starting from ordinary differential equations of particles in terms of the phase space, distinguishing the set of coordinates into external and internal ones.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [300]
MOM consists of converting the original PDE into a set of ODEs where the moments are unknown; a few moments are generally sufficient to completely describe the system.
“The MOM consists of converting the original partial differential equation into a set of ordinary differential equations where the moments are the unknown. An advantage of this approach is that a few moments are generally sufficient to completely describe the system.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [300]
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Description of interaction processes in agitated liquid-liquid dispersions
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Description of aerosol dynamics by the quadrature method of moments
McGraw, R. (1997) · Aerosol Science and Technology · doi:10.1080/02786829708965471 · Cited by 1,128 · see citing works
A discretized population balance for nucleation, growth, and aggregation
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Solution of population balance equations using the direct quadrature method of moments
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Quadrature method of moments for aggregation-breakage processes
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A novel theoretical breakup kernel function for bubbles/droplets in a turbulent flow
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Multivariate Quadrature-Based Moments Methods for turbulent polydisperse gas-liquid systems
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Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
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Flow Simulation in a 2D Bubble Column with the Euler-lagrange and Euler-euler Method
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New scheme for implementing the method of moments with interpolative closure
Yu, M., & Lin, J. (2017) · Aerosol Science and Technology · doi:10.1080/02786826.2017.1319566 · Cited by 7 · see citing works
- Authors
- Hulburt, H. M., & Katz, S.
- Venue
- Chemical Engineering Science
- Publisher
- Elsevier BV
- Published
- 1964-08
- Volume
- 19
- Issue
- 8
- Pages
- 555-574
- ISSN
- 0009-2509 (ISSN-L)
- OpenAlex
- W1593833610
- Cited by
- 1,670
- References
- 8
- Citations by year
- 2026: 41 · 2025: 35 · 2024: 56 · 2023: 60 · 2022: 43 · 2021: 49 · 2020: 55 · 2019: 59 · 2018: 46 · 2017: 97 · 2016: 67 · 2015: 54 · 2014: 77 · 2013: 54 · 2012: 49
- FWCI
- 2.92
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Chemical Engineering Science (publishedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Crystallization and Solubility Studies
- Physical Sciences › Engineering › Computational Mechanics › Granular flow and fluidized beds
- Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
- Keywords
- particle technology, particle nucleation, particle growth, agglomeration, statistical mechanics, mass balance, energy balance, chemical processing equipment, particle size distribution
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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