Bubble size distribution modeling in stirred gas–liquid reactors with QMOM augmented by a new correction algorithm

Petitti, Miriam; Nasuti, A.; Marchisio, Daniele; Vanni, Marco; Baldi, Giancarlo; Mancini, Nicola; Podenzani, F.

doi:10.1002/aic.12003

Cited by 91 publications

(63 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Values of k max from the drop size up to 10 times, the drop size were used for the modelling the drop breakup. 7,45,51 An exception is a recent work of Becker et al 27 who suggested that k max should be in the order of 100 times of the drop. In our work, k max was set to be equal to the drop diameter while it was assumed that larger eddies will transport the drop.…”

Section: Population Balance Modellingmentioning

confidence: 91%

“…Laakkonen et al 8 adjusted the value of C 4 against experimental data, while others 45,53,54 assigned the value of C 4 according to the mechanism of breakup. In this work, we used ternary breakage mechanism into comparable size fragments, however, the effect of C 4 on the final drop size was tested as well.…”

Section: Population Balance Modellingmentioning

confidence: 99%

“…B and D are the birth and death terms due to coalescence and breakage, respectively, as indicated by the corresponding upper index. n L i ð Þ is also a function of time and space, [43][44][45] but for the sake of simplicity full notation of coordinates is omitted.…”

Section: Population Balance Modellingmentioning

confidence: 99%

See 2 more Smart Citations

Characterization of liquid‐liquid dispersions with variable viscosity by coupled computational fluid dynamics and population balances

Vonka

Šoóš

2015

AIChE Journal

View full text Add to dashboard Cite

in Wiley Online Library (wileyonlinelibrary.com) Sustaining stable liquid-liquid dispersion with the desired drop size still relies on experimental correlations, which do not reflect our understanding of the underlying physics and have a limited prediction capability. The complex behavior of liquid-liquid dispersions inside a stirred tank, which is equipped with a Rushton turbine, was characterized by a combination of computational fluid dynamics and population balance equations (PBE). PBE took into account both the drop coalescence and breakup. With the increasing drop viscosity, the resistance to drop breakage also increases, which was introduced by the local criteria for drop breakup in the form of the local critical Webber number (We c ). The dependency of We c on the drop viscosity was derived from the experimental data available in the literature. Predictions of Sauter mean diameter agree well with the experimentally measured values allowing prediction of mean drop size as a function of variable viscosity, interfacial tension, and stirring speed.

show abstract

Section: Population Balance Modellingmentioning

confidence: 91%

Section: Population Balance Modellingmentioning

confidence: 99%

See 1 more Smart Citation

Characterization of liquid‐liquid dispersions with variable viscosity by coupled computational fluid dynamics and population balances

Vonka

Šoóš

2015

AIChE Journal

View full text Add to dashboard Cite

show abstract

“…Petitti et al (2010) pointed out that the terminal velocity of bubbles is further decreased at high gas hold-ups (above 5%). This condition is induced by an increased collision frequency between bubbles, which interferes with the rising motion.…”

Section: Gas Hold-upmentioning

confidence: 99%

CFD Prediction of Gas-Liquid Flow in an Aerated Stirred Vessel Using the Population Balance Model

Kálal¹,

Jahoda²,

Fořt³

2014

Chemical and Process Engineering

View full text Add to dashboard Cite

The main topic of this study is the experimental measurement and mathematical modelling of global gas hold-up and bubble size distribution in an aerated stirred vessel using the population balance method. The air-water system consisted of a mixing tank of diameter T = 0.29 m, which was equipped with a six-bladed Rushton turbine. Calculations were performed with CFD software CFX 14.5. Turbulent quantities were predicted using the standard k-ε turbulence model. Coalescence and breakup of bubbles were modelled using the homogeneous MUSIG method with 24 bubble size groups. To achieve a better prediction of the turbulent quantities, simulations were performed with much finer meshes than those that have been adopted so far for bubble size distribution modelling. Several different drag coefficient correlations were implemented in the solver, and their influence on the results was studied. Turbulent drag correction to reduce the bubble slip velocity proved to be essential to achieve agreement of the simulated gas distribution with experiments. To model the disintegration of bubbles, the widely adopted breakup model by Luo & Svendsen was used. However, its applicability was questioned.

show abstract

“…Accordingly, when the abscissas or weights goes to null, the values will approach to lower limits of values. Avoiding this problem, a reconstruction of matrix A in a linear system by calculating of moments then applying a correction algorithm [67] may be used but it is not applied in current simulations. The measurement of particle size is done by collecting the particles in the pressurized tank.…”

Section: Summary and Implementation Of The Mean Velocity Effect In Tumentioning

confidence: 99%

Fuel Chemistry And Combustion Distribution Effects On Rocket Engine Combustion Stability

Anderson¹,

Heister²,

Son³

2015

View full text Add to dashboard Cite

Air Force Materiel Command REPORT DOCUMENTATION PAGE Form Approved OMB No. 0704-0188The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. 1. REPORT DATE (DD-MM-YYYY)2. REPORT TYPE (From -To) Final Technical DATES COVERED SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)AF Office of Scientific Research 875 N. Randolph St. Room 3112 Arlington, VA 22203 SPONSOR/MONITOR'S ACRONYM(S) AFOSR SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENTApproved for Public Release; Distribution Unlimited SUPPLEMENTARY NOTES ABSTRACTThe goal of the project was to understand how changes in the rate of energy addition can be used to alter the combustion instability characteristics of liquid rocket engines. Fuels with increased energy, either due to higher heats of formation or energetic additives, presumably result in higher performance. This study seeks to understand how changes in combustion rate, due to fuel chemistry changes, might be used to develop high-performing, stable rocket engines. The overall objective of the project was to develop a fundamental understanding of how the spatial distribution of combustion and its temporal response to pressure oscillations depends on kinetic rates, flammability limits, and energy release density. The study combines basic drop combustion experiments, an in situ study using a spontaneously unstable model rocket combustor, and associated modeling of particles in combustion chamber gas flows. SUBJECT TERMSenergetic propellants, combustion stability, particulate dynamics FUEL CHEMISTRY AND COMBUSTION DISTRIBUTION EFFECTS ON ROCKET ENGINE COMBUSTION STABILITYThe goal of the project was to understand how changes in the rate of energy addition can be used to alter the combustion instability characteristics of liquid rocket engines. Fuels with increased energy, either due to higher heats of formation or energetic additives, presumably result in higher performance. This study seeks to understand how changes in combustion rate, due to fuel chemistry changes, might be used to develop high-performing, stable rocket engines. The overall objective of the project was to develop a fundamental understanding of how the spatial distri...

show abstract

Bubble size distribution modeling in stirred gas–liquid reactors with QMOM augmented by a new correction algorithm

Cited by 91 publications

References 52 publications

Characterization of liquid‐liquid dispersions with variable viscosity by coupled computational fluid dynamics and population balances

Characterization of liquid‐liquid dispersions with variable viscosity by coupled computational fluid dynamics and population balances

CFD Prediction of Gas-Liquid Flow in an Aerated Stirred Vessel Using the Population Balance Model

Fuel Chemistry And Combustion Distribution Effects On Rocket Engine Combustion Stability

Contact Info

Product

Resources

About