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New scheme for implementing the method of moments with interpolative closure
Open accessAbstract
This article presents a new scheme for implementing the method of moments with interpolative closure (MOMIC), which was proposed by Frenklach and Harris in 1987. The new scheme can be implemented with arbitrary moment sequences. A new interpolation scheme, which is implemented among the square root of logarithms of newly defined normalized moments, was verified to be suitable for interpolation with only three known data points. The new scheme was applied to studies on Brownian coagulation in both free-molecular and continuum-slip regimes. The new MOMIC with integer moment sequence was verified to exhibit nearly identical accuracy to its original version as well as other state-of-the-art numerical methods, including QMOM, TEMOM, and log MM, and higher accuracy than these referenced numerical methods as the fractional moment sequence was employed. The study enhances the capability of the MOMIC for solving population balance equations.© 2017 American Association for Aerosol Research
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“Recently, Yu and Lin [319] proposed an extension of the method of moments with interpolative closure (MOMIC), where the closure of the moment equations is accomplished by utilizing Lagrange interpolation among the logarithms of certain moments. The new scheme can be implemented with both integer and arbitrary moment sequences, and it has been applied to model the Brownian coagulation in the free”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [319]
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“The new MOMIC with fractional moment sequence exhibits a higher accuracy than the QMOM.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [319]
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Citations
Cites
Some problems in particle technology
Hulburt, H. M., & Katz, S. (1964) · Chemical Engineering Science · doi:10.1016/0009-2509(64)85047-8 · Cited by 1,670
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
Solution of population balance equations using the direct quadrature method of moments
Marchisio, D. L., & Fox, R. O. (2005) · Journal of Aerosol Science · doi:10.1016/j.jaerosci.2004.07.009 · Cited by 803
Sectional representations for simulating aerosol dynamics
Gelbard, F., Tambour, Y., & Seinfeld, J. H. (1980) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(80)90394-x · Cited by 607
Simultaneous nucleation, condensation, and coagulation in aerosol reactors
Pratsinis, S. E. (1988) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(88)90180-4 · Cited by 539
Quadrature method of moments for aggregation-breakage processes
Marchisio, D. L., Vigil, R. D., & Fox, R. O. (2003) · Journal of Colloid and Interface Science · doi:10.1016/s0021-9797(02)00054-1 · Cited by 524
Aerosol dynamics modeling using the method of moments
Frenklach, M., & Harris, S. J. (1987) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(87)90454-1 · Cited by 420
Method of moments with interpolative closure
Frenklach, M. (2002) · Chemical Engineering Science · doi:10.1016/s0009-2509(02)00113-6 · Cited by 402
The Status of Population Balances
Ramkrishna, D. (1985) · Reviews in Chemical Engineering · doi:10.1515/revce.1985.3.1.49 · Cited by 393
Numerical solution of the dynamic equation for particulate systems
Gelbard, F., & Seinfeld, J. H. (1978) · Journal of Computational Physics · doi:10.1016/0021-9991(78)90058-x · Cited by 337
RADIATION MODEL OF A TiO2 COATED, QUARTZ WOOL, PACKED BED PHOTOCATALYTIC REACTOR
Imoberdorf, G., Vella, G., Sclafani, A., Rizzuti, L., Alfano, O., & Cassano, A. (2010) · Nova Science Publishers (Nova Science Publishers, Inc.) · doi:10.1002/aic · Cited by 309
Landgrebe, J. D., & Pratsinis, S. E. (1990) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(90)90445-t · Cited by 287
Population Balance Modeling: Current Status and Future Prospects
Ramkrishna, D., & Singh, M. R. (2014) · Annual Review of Chemical and Biomolecular Engineering · doi:10.1146/annurev-chembioeng-060713-040241 · Cited by 278
A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion
Yu, M., Lin, J., & Chan, T. L. (2008) · Aerosol Science and Technology · doi:10.1080/02786820802232972 · Cited by 217
Self-citationLog-Normally Preserving Size Distribution for Brownian Coagulation in the Free-Molecule Regime
Lee, K. W., Chen, J., & Gieseke, J. A. (1984) · Aerosol Science and Technology · doi:10.1080/02786828408958993 · Cited by 204
Zur allgemeinen Theorie ser raschen Koagulation
Müller, H. (1928) · Fortschrittsberichte über Kolloide und Polymere · doi:10.1007/bf02558510 · Cited by 197
Population balance modelling of polydispersed particles in reactive flows
Rigopoulos, S. (2010) · Progress in Energy and Combustion Science · doi:10.1016/j.pecs.2009.12.001 · Cited by 163
Fox, R. O., Laurent, F., & Massot, M. (2007) · Journal of Computational Physics · doi:10.1016/j.jcp.2007.10.028 · Cited by 133
Temporal Evolution of Nanoparticle Aerosols in Workplace Exposure
Seipenbusch, M., Binder, A., & Kasper, G. (2008) · The Annals of Occupational Hygiene · doi:10.1093/annhyg/men067 · Cited by 120
CFD simulation of aggregation and breakage processes in laminar Taylor–Couette flow
Wang, L., Marchisio, D. L., Vigil, R. D., & Fox, R. O. (2004) · Journal of Colloid and Interface Science · doi:10.1016/j.jcis.2004.08.127 · Cited by 111
Modeling of Fine-Particle Formation in Turbulent Flames
Raman, V., & Fox, R. O. (2015) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-122414-034306 · Cited by 110
A stochastic approach for the numerical simulation of the general dynamics equation for aerosols
Debry, É., Sportisse, B., & Jourdain, B. (2003) · Journal of Computational Physics · doi:10.1016/s0021-9991(02)00041-4 · Cited by 84
Improving the accuracy of the moments method for solving the aerosol general dynamic equation
Barrett, J. C., & Jheeta, J. S. (1996) · Journal of Aerosol Science · doi:10.1016/0021-8502(96)00059-6 · Cited by 83
Modelling of Particulate Processes
Kraft, M. (2005) · KONA Powder and Particle Journal · doi:10.14356/kona.2005007 · Cited by 71
A new numerical approach for the simulation of the growth of inorganic nanoparticles
Morgan, N. M., Wells, C. G., Goodson, M., Kraft, M., & Wagner, W. (2005) · Journal of Computational Physics · doi:10.1016/j.jcp.2005.04.027 · Cited by 70
Extended cell average technique for the solution of coagulation equation
Kostoglou, M. (2006) · Journal of Colloid and Interface Science · doi:10.1016/j.jcis.2006.10.044 · Cited by 51
Evaluation of the 1-point quadrature approximation in QMOM for combined aerosol growth laws
Upadhyay, R., & Ezekoye, O. A. (2003) · Journal of Aerosol Science · doi:10.1016/s0021-8502(03)00380-x · Cited by 45
Some topics in nuclear aerosol dynamics
Williams, M. M. R. (1986) · Progress in Nuclear Energy · doi:10.1016/0149-1970(86)90041-7 · Cited by 44
Kruis, F. E., Wei, J., van der Zwaag, T., & Haep, S. (2011) · Chemical Engineering Science · doi:10.1016/j.ces.2011.10.040 · Cited by 41
Stochastic solution of population balance equations for reactor networks
Menz, W. J., Akroyd, J., & Kraft, M. (2013) · Journal of Computational Physics · doi:10.1016/j.jcp.2013.09.021 · Cited by 35
Yu, M., Lin, J., Jin, H., & Jiang, Y. (2010) · Journal of Nanoparticle Research · doi:10.1007/s11051-010-9954-x · Cited by 35
Self-citationGeneralized TEMOM Scheme for Solving the Population Balance Equation
Yu, M., Liu, Y., Lin, J., & Seipenbusch, M. (2015) · Aerosol Science and Technology · doi:10.1080/02786826.2015.1093598 · Cited by 33
Self-citationTreatment of size-dependent aerosol transport processes using quadrature based moment methods
Upadhyay, R., & Ezekoye, O. A. (2005) · Journal of Aerosol Science · doi:10.1016/j.jaerosci.2005.06.002 · Cited by 30
Vikas, V., Wang, Z. J., & Fox, R. O. (2013) · Journal of Computational Physics · doi:10.1016/j.jcp.2013.05.002 · Cited by 29
A stochastic model for the relative motion of high Stokes number particles in isotropic turbulence
Rani, S. L., Dhariwal, R., & Koch, D. L. (2014) · Journal of Fluid Mechanics · doi:10.1017/jfm.2014.461 · Cited by 24
On the coagulation rate of aerosols with spatially inhomogeneous particle concentrations
Kasper, G. (1984) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(84)90261-3 · Cited by 23
Simulation, model‐reduction, and state estimation of a two‐component coagulation process
Hashemian, N., & Armaou, A. (2015) · AIChE Journal · doi:10.1002/aic.15146 · Cited by 23
An analytical solution for the population balance equation using a moment method
Yu, M., Lin, J., Cao, J., & Seipenbusch, M. (2014) · Particuology · doi:10.1016/j.partic.2014.06.006 · Cited by 22
Self-citationWilliams, M. M. R. (1985) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(85)90127-4 · Cited by 21
Bruns, M. C., & Ezekoye, O. A. (2012) · Journal of Aerosol Science · doi:10.1016/j.jaerosci.2012.07.003 · Cited by 21
Roy, S. P., Arias, P. G., Lecoustre, V. R., Haworth, D. C., Im, H. G., & Trouvé, A. (2013) · Aerosol Science and Technology · doi:10.1080/02786826.2013.878017 · Cited by 18
Stochastic models for coagulation of aerosol particles in intermittent turbulent flows
Sabelfeld, K. K. (1998) · Mathematics and Computers in Simulation · doi:10.1016/s0378-4754(98)00095-0 · Cited by 11
Quantum modelling of photo-excited processes
Ramos, M. M. D., & Correia, H. M. G. (2005) · Applied Surface Science · doi:10.1016/j.apsusc.2005.03.071 · Cited by 7
An approximate theoretical solution to particle coagulation and gelation using a method of moments
Wei, J. (2016) · Journal of Aerosol Science · doi:10.1016/j.jaerosci.2016.10.014 · Cited by 3
Research works printed but not linked: 4
- Doraiswami R., 1985, Rev. Chem. Eng., 3, 49
- Friedlander S. K., 2000, Wiley Interscience
- 10.1080/02786829708965471 · DOI · Paper page
- 10.1016/0021-9797(88)90180-4 · DOI
Cited by
Sorted by citations
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Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44
Dürr, R., & Bück, A. (2020) · Processes · doi:10.3390/pr8040414 · Cited by 28
Ma, H.-Y., Yu, M., & Jin, H. (2020) · Journal of Hydrodynamics · doi:10.1007/s42241-020-0033-1 · Cited by 7
Self-citationShen, J., Yu, M., Chan, T. L., Tu, C., & Liu, Y. (2020) · Journal of Geophysical Research Atmospheres · doi:10.1029/2019jd032172 · Cited by 6
Self-citationKrishan, J., Anand, S., Mayya, Y. S., & Seth, J. R. (2020) · Aerosol Science and Technology · doi:10.1080/02786826.2020.1731412 · Cited by 1
Metadata
- Authors
- Yu, M., & Lin, J.
- Affiliations
- Chinese Academy of Sciences (CN)
- Zhejiang University (CN)
- Corresponding author
- Lin, Jianzhong
- Venue
- Aerosol Science and Technology
- Publisher
- Informa UK Limited
- Published
- 2017-04-28
- Volume
- 51
- Issue
- 8
- Pages
- 956-971
- ISSN
- 0278-6826 (ISSN-L)
- 1521-7388
- OpenAlex
- W2605388860
- Cited by
- 7
- References
- 44
- Citations by year
- 2022: 1 · 2021: 1 · 2020: 4 · 2019: 1
- FWCI
- 0.79
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Aerosol Science and Technology (publishedVersion)
- Funders
- National Natural Science Foundation of China (LQ15A020002, 11372299, 11632016, LQ16A020002)
- Natural Science Foundation of Zhejiang Province (11632016, 11372299, LQ16A020002, LQ15A020002)
- Topics
- Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Atmospheric chemistry and aerosols
- Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Particle Dynamics in Fluid Flows
- Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Advanced Combustion Engine Technologies
- Keywords
- population balance equation, Brownian coagulation, free molecular regime, aerosol size distribution
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