Modeling of Mixing‐Precipitation Processes: Agglomeration
Open accessAbstract
A comprehensive description of the barium sulfate precipitation process in a wide range of supersaturations is presented. By using an additive to stabilize the particles, the decoupling of the primary from the secondary processes, as well as the agglomeration from aggregation was possible. By being able to study the two processes independently, a model describing the agglomeration of barium sulfate in the range of high supersaturations was validated experimentally for the first time. The proposed model has proven to describe the experiments with a high degree of accuracy in the whole range of supersaturations investigated. Additionally, by comparing agglomeration kernels of various complexity, ranges where simplifications are possible were identified, thus enabling the future development of models with better performance.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Heterogeneous nucleation parameters reflect what is known in literature; its rate has lower slope, lower exponential factor, and pre-exponential factor orders of magnitude lower.
“Heterogeneous nucleation parameters reflect what is known in the literature. In this regard, its rate is supposed to have a lower slope, which is translated into a lower exponential factor,22 (i.e., the lower interfacial tension between the nucleation sites and the solution) and the pre-exponential factor to be orders of magnitude lower.”
From Computational Modeling of Magnesium Hydroxide Precipitation and Kinetics Parameters Identification (2023) · cites this paper as [22]
In “Primary Processes Revisited > Nucleation” (page unavailable), the paper defines the heterogeneous parameters as Ahet = aAhom and Bhet = bBhom, with fitted values a = 3 × 10⁻²¹ and b = 0.001. These support a much smaller pre-exponential factor and exponential parameter for the studied system. The paper does not establish that the smaller heterogeneous parameter represents lower interfacial tension between nucleation sites and the solution; it says a theoretical derivation of those parameters is not possible here. (LLM, conf=0.84)
Experimental — accuracy not yet measuredAnalogous behavior was found for a similar geometry (Y-mixer) with similar operating conditions.
“Analogous behavior was found for a similar geometry (Y-mixer) with similar operating conditions.22”
From Computational Modeling of Magnesium Hydroxide Precipitation and Kinetics Parameters Identification (2023) · cites this paper as [22]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
No citation lists for this paper
No citation lists for this paper yet — checked again daily.
References 38 · Cited by 14
Research works printed but not linked: 37
- [1]L. Vicum, M. Mazzotti, J. Baldyga, Chem. Eng. Technol. 2003, 26 (3), 325– 333. DOI: 10.1002/ceat.200390050 · DOI
- [2]A. Mersmann, Crystallization Technology Handbook, CRC Press, Boca Raton, FL 2001.
- [3]J. Bałdyga, M. Jasińska, W. Orciuch, Chem. Eng. Technol. 2003, 26 (3), 334– 340. DOI: 10.1002/ceat.200390051 · DOI
- [4]D. L. Marchisio, A. A. Barresi, M. Garbero, AIChE J. 2002, 48 (9), 2039– 2050. DOI: 10.1002/aic.690480917 · DOI
- [5]A. E. Nielsen, Acta Chem. Scand. 1961, 15, 441– 442.
- [6]D. Kashchiev, G. M. van Rosmalen, Cryst. Res. Technol. 2003, 38 (78), 555– 574. DOI: 10.1002/crat.200310070 · DOI · Paper page
- [7]R. Mohanty, S. Bhandarkar, B. Zuromski, R. Brown, J. Estrin, AIChE J. 1988, 34 (12), 2063– 2068. DOI: 10.1002/aic.690341216 · DOI
- [8]R. T. Kügler, S. Doyle, M. Kind, Chem. Eng. Sci. 2015, 133, 140– 147.DOI: 10.1016/j.ces.2014.12.024 · DOI
- [9]H. C. Schwarzer, W. Peukert, AIChE J. 2004, 50 (12), 3234– 3247. DOI: 10.1002/aic.10277 · DOI
- [10]A. E. Nielsen, J. M. Toft, J. Cryst. Growth 1984, 67 (2), 278– 288. DOI: 10.1016/0022-0248(84)90188-X · DOI
- [11]From Molecules to Crystallizer (Eds: Davey R., Garside J.), Oxford University Press, Oxford 2000.
- [12]J. Bałdyga, W. Podgórska, R. Pohorecki, Chem. Eng. Sci. 1995, 50 (8), 1281– 1300. DOI: 10.1016/0009-2509(95)98841-2 · DOI
- [14]S. Nagata, Mixing: Principles and Applications, Halsted Press, Sydney 1975.
- [16]P. M. Armenante, D. J. Kirwan, Chem. Eng. Sci. 1989, 44 (12), 2781– 2796. DOI: 10.1016/0009-2509(89)85088-2 · DOI
- [17]C. Lindenberg, M. Mazzotti, AIChE J. 2011, 57 (4), 942– 950. DOI: 10.1002/aic.12326 · DOI
- [18]D. Ilievski, I. Livk, Chem. Eng. Sci. 2006, 61 (6), 2010– 2022. DOI: 10.1016/J.CES.2005.10.051 · DOI
- [19]M. Hounslow, H. Mumtaz, A. Collier, J. P. Barrick, A. Bramley, Chem. Eng. Sci. 2001, 56 (7), 2543– 2552. DOI: 10.1016/S0009-2509(00)00436-X · DOI
- [20]C. D. Rielly, A. J. Marquis, Chem. Eng. Sci. 2001, 56 (7), 2475– 2493. DOI: 10.1016/S0009-2509(00)00457-7 · DOI
- [21]C. Lindenberg, J. Schöll, L. Vicum, M. Mazzotti, J. Brozio, Cryst. Growth Des. 2008, 8 (1), 224– 237. DOI: 10.1021/cg070161f · DOI
- [22]P. G. Saffman, J. S. Turner, J. Fluid Mech. 1956, 1 (1), 16 DOI: 10.1017/S0022112056000020 · DOI
- [23]M. von Smoluchowski, Z. Phys. Chem. 1917, 92, 129– 168.
- [24]N. Fuchs, Z. Phys. 1934, 89 (11–12), 736– 743. DOI: 10.1007/BF01341386 · DOI
- [25]H. C. Hamaker, Physica 1937, 4 (10), 1058– 1072. DOI: 10.1016/S0031-8914(37)80203-7 · DOI
- [26]J. Visser, Adv. Colloid Interface Sci. 1972, 3 (4), 331– 363. DOI: 10.1016/0001-8686(72)85001-2 · DOI
- [27]J. N. Israelachvili, Intermol. Surf. Forces 2011, 291– 340. DOI: 10.1016/B978-0-12-375182-9.10014-4 · DOI
- [28]H.‐C. Schwarzer, W. Peukert, Chem. Eng. Sci. 2005, 60 (1), 11– 25. DOI: 10.1016/j.ces.2004.06.050 · DOI
- [29]V. Gallardo, L. Zurita, A. Ontiveros, J. D. G. Durán, J. Pharm. Sci. 2000, 89 (9), 1134– 1142. DOI: 10.1002/1520-6017(200009)89:9<1134::AID-JPS5>3.0.CO;2-D 10944378 · DOI
- [30]N. Gavish, K. Promislow, Phys. Rev. E 2016, 94, 12611 DOI: 10.1103/PhysRevE.94.012611 27575183 · DOI
- [31]L. A. Spielman, J. Colloid Interface Sci. 1970, 33 (4), 562– 571. DOI: 10.1016/0021-9797(70)90008-1 · DOI
- [33]S. Melis, M. Verduyn, G. Storti, M. Morbidelli, J. Bałdyga, AIChE J. 1999, 45 (7), 1383– 1393. DOI: 10.1002/aic.690450703 · DOI
- [34]S. Kumar, D. Ramkrishna, Chem. Eng. Sci. 1997, 52 (24), 4659– 4679. DOI: 10.1016/S0009-2509(97)00307-2 · DOI
- [35]H.‐C. Schwarzer, W. Peukert, Chem. Eng. Commun. 2004, 191 (4), 580– 606. DOI: 10.1080/00986440490270106 · DOI
- [36]A. Petrova, W. Hintz, J. Tomas, Chem. Eng. Technol. 2008, 31 (4), 604– 608. DOI: 10.1002/ceat.200700471 · DOI
- [37]M. Pieper, S. Aman, J. Tomas, Chem. Eng. Sci. 2012, 77, 228– 234. DOI: 10.1016/j.ces.2011.12.043 · DOI
- [38]H.‐C. Schwarzer, F. Schwertfirm, M. Manhart, H.‐J. Schmid, W. Peukert, Chem. Eng. Sci. 2006, 61 (1), 167– 181. DOI: 10.1016/j.ces.2004.11.064 · DOI
- [39]L. Vicum, S. Ottiger, M. Mazzotti, Ł. Makowski, J. Bałdyga, Chem. Eng. Sci. 2004, 59 (8–9), 1767– 1781. DOI: 10.1016/j.ces.2004.01.032 · DOI
- [40]W. Podgórska, Ph. D. Thesis, Warsaw University of Technology, 1993.
- Authors
- Orlewski, P. M., & Mazzotti, M.
- Affiliations
- ETH Zurich (CH)
- Corresponding author
- Mazzotti, Marco
- Venue
- Chemical Engineering & Technology
- Publisher
- Wiley
- Published
- 2020-01-20
- Volume
- 43
- Issue
- 6
- Pages
- 1029-1039
- ISSN
- 0930-7516 (ISSN-L)
- 1521-4125
- PMC
- PMC7319487
- OpenAlex
- W2996153717
- Cited by
- 14
- References
- 38
- Citations by year
- 2026: 3 · 2025: 3 · 2024: 2 · 2023: 4 · 2021: 2
- FWCI
- 0.18
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Chemical Engineering & Technology (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Repository for Publications and Research Data (ETH Zurich) (submittedVersion, cc-by)
- ETH Zürich Research Collection (cc-by)
- Funders
- BASF
- Horizon 2020 (2‐73959‐18)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Crystallization and Solubility Studies
- Physical Sciences › Environmental Science › Water Science and Technology › Coagulation and Flocculation Studies
- Physical Sciences › Environmental Science › Water Science and Technology › Minerals Flotation and Separation Techniques
- Keywords
- barium sulfate precipitation, agglomeration, supersaturation, primary nucleation, secondary nucleation, aggregation, agglomeration kernel, precipitation simulation
About these checks
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.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review