A numerical comparison of precipitating turbulent flows between large‐eddy simulation and one‐dimensional turbulence
Abstract
This study presents the results of computational fluid dynamics simulations of a multiphase, reacting, turbulent mixing layer in an idealized geometry. The purpose is to compare large‐eddy simulation (LES) to one‐dimensional turbulence (ODT) and examine the trends of the flow under differing mixing conditions. Aqueous streams are mixed together to precipitate polymorphs of calcium carbonate. The polymorphs of calcium carbonate are tracked numerically using population balance equations (PBE). Each PBE contains all of the relevant physical models to track the particle evolution including nucleation, growth, and aggregation. A simple subgrid mixing model that is convenient for use with PBEs was implemented in the LES code. The higher spatial resolution achievable with ODT allowed an investigation on the effect of resolution on the mixing‐model error. The Reynolds number of the flow is varied and is shown to cause a decrease in average particle sizes with higher mixing rates. © 2015 American Institute of Chemical Engineers AIChE J , 61: 3185–3197, 2015
- Authors:
-
- Dept. of Chemical Engineering Institute for Clean and Secure Energy University of Utah Salt Lake City UT 84112
- Dept. of Chemical Engineering Brigham Young University Provo UT 84602
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1400714
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- AIChE Journal
- Additional Journal Information:
- Journal Name: AIChE Journal Journal Volume: 61 Journal Issue: 10; Journal ID: ISSN 0001-1541
- Publisher:
- Wiley Blackwell (John Wiley & Sons)
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Abboud, Alex W., Schroeder, Ben B., Saad, Tony, Smith, Sean T., Harris, Derek D., and Lignell, David O. A numerical comparison of precipitating turbulent flows between large‐eddy simulation and one‐dimensional turbulence. United States: N. p., 2015.
Web. doi:10.1002/aic.14870.
Abboud, Alex W., Schroeder, Ben B., Saad, Tony, Smith, Sean T., Harris, Derek D., & Lignell, David O. A numerical comparison of precipitating turbulent flows between large‐eddy simulation and one‐dimensional turbulence. United States. https://doi.org/10.1002/aic.14870
Abboud, Alex W., Schroeder, Ben B., Saad, Tony, Smith, Sean T., Harris, Derek D., and Lignell, David O. Tue .
"A numerical comparison of precipitating turbulent flows between large‐eddy simulation and one‐dimensional turbulence". United States. https://doi.org/10.1002/aic.14870.
@article{osti_1400714,
title = {A numerical comparison of precipitating turbulent flows between large‐eddy simulation and one‐dimensional turbulence},
author = {Abboud, Alex W. and Schroeder, Ben B. and Saad, Tony and Smith, Sean T. and Harris, Derek D. and Lignell, David O.},
abstractNote = {This study presents the results of computational fluid dynamics simulations of a multiphase, reacting, turbulent mixing layer in an idealized geometry. The purpose is to compare large‐eddy simulation (LES) to one‐dimensional turbulence (ODT) and examine the trends of the flow under differing mixing conditions. Aqueous streams are mixed together to precipitate polymorphs of calcium carbonate. The polymorphs of calcium carbonate are tracked numerically using population balance equations (PBE). Each PBE contains all of the relevant physical models to track the particle evolution including nucleation, growth, and aggregation. A simple subgrid mixing model that is convenient for use with PBEs was implemented in the LES code. The higher spatial resolution achievable with ODT allowed an investigation on the effect of resolution on the mixing‐model error. The Reynolds number of the flow is varied and is shown to cause a decrease in average particle sizes with higher mixing rates. © 2015 American Institute of Chemical Engineers AIChE J , 61: 3185–3197, 2015},
doi = {10.1002/aic.14870},
journal = {AIChE Journal},
number = 10,
volume = 61,
place = {United States},
year = {Tue May 19 00:00:00 EDT 2015},
month = {Tue May 19 00:00:00 EDT 2015}
}
https://doi.org/10.1002/aic.14870
Web of Science
Works referenced in this record:
A new kinetic approach to modeling water-rock interaction: The role of nucleation, precursors, and Ostwald ripening
journal, October 1990
- Steefel, Carl I.; Van Cappellen, Philippe
- Geochimica et Cosmochimica Acta, Vol. 54, Issue 10
A Micro-Mechanical Model for the Rate of Aggregation during Precipitation from Solution
journal, March 2003
- Liew, T. L.; Barrick, J. P.; Hounslow, M. J.
- Chemical Engineering & Technology, Vol. 26, Issue 3
Filtered density function for large eddy simulation of turbulent reacting flows
journal, February 1998
- Colucci, P. J.; Jaberi, F. A.; Givi, P.
- Physics of Fluids, Vol. 10, Issue 2
Large-eddy simulation of the turbulent mixing layer
journal, May 1997
- Vreman, Bert; Geurts, Bernard; Kuerten, Hans
- Journal of Fluid Mechanics, Vol. 339
Error Bounds in Equilibrium Statistical Mechanics
journal, May 1968
- Gordon, Roy G.
- Journal of Mathematical Physics, Vol. 9, Issue 5
Effect of pH on calcite growth at constant ratio and supersaturation
journal, January 2011
- Ruiz-Agudo, E.; Putnis, C. V.; Rodriguez-Navarro, C.
- Geochimica et Cosmochimica Acta, Vol. 75, Issue 1
Comparison of micromixing models for CFD simulation of nanoparticle formation
journal, January 2004
- Wang, Liguang; Fox, Rodney O.
- AIChE Journal, Vol. 50, Issue 9
Growth Rate of Calcite Steps As a Function of Aqueous Calcium-to-Carbonate Ratio: Independent Attachment and Detachment of Calcium and Carbonate Ions
journal, March 2010
- Stack, Andrew G.; Grantham, Meg C.
- Crystal Growth & Design, Vol. 10, Issue 3
A dynamic subgrid‐scale eddy viscosity model
journal, July 1991
- Germano, Massimo; Piomelli, Ugo; Moin, Parviz
- Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 7
Simulation of nonhomogeneous poisson processes by thinning
journal, September 1979
- Lewis, P. A. W.; Shedler, G. S.
- Naval Research Logistics Quarterly, Vol. 26, Issue 3
Calcite, dolomite and magnesite dissolution kinetics in aqueous solutions at acid to circumneutral pH, 25 to 150 °C and 1 to 55 atm pCO2: New constraints on CO2 sequestration in sedimentary basins
journal, July 2009
- Pokrovsky, Oleg S.; Golubev, Sergey V.; Schott, Jacques
- Chemical Geology, Vol. 265, Issue 1-2
Prenucleation clusters and non-classical nucleation
journal, December 2011
- Gebauer, Denis; Cölfen, Helmut
- Nano Today, Vol. 6, Issue 6
Direct numerical simulations of chemically reacting turbulent mixing layers
journal, January 1986
- Riley, James J.; Metcalfe, Ralph W.; Orszag, Steven A.
- Physics of Fluids, Vol. 29, Issue 2
The Effect of the CO32- to Ca2+ Ion activity ratio on calcite precipitation kinetics and Sr2+partitioning
journal, January 2012
- Gebrehiwet, Tsigabu A.; Redden, George D.; Fujita, Yoshiko
- Geochemical Transactions, Vol. 13, Issue 1
Comparison of one-dimensional turbulence and direct numerical simulations of soot formation and transport in a nonpremixed ethylene jet flame
journal, January 2015
- Lignell, David O.; Fredline, Garrison C.; Lewis, Adam D.
- Proceedings of the Combustion Institute, Vol. 35, Issue 2
Mixing of a conserved scalar in a turbulent reacting shear layer
journal, April 2003
- Pantano, C.; Sarkar, S.; Williams, F. A.
- Journal of Fluid Mechanics, Vol. 481
Effects of seed material and solution composition on calcite precipitation
journal, September 2005
- Lin, Yi-Pin; Singer, Philip C.
- Geochimica et Cosmochimica Acta, Vol. 69, Issue 18
The Use of Direct Numerical Simulation in the Study of Turbulent, Chemically-Reacting Flows
book, January 1989
- Riley, J. J.; McMurtry, P. A.
- Lecture Notes in Engineering
Linear-eddy modelling of turbulent transport. Part 6. Microstructure of diffusive scalar mixing fields
journal, October 1991
- Kerstein, Alan R.
- Journal of Fluid Mechanics, Vol. 231
Effects of Damköhler number on flame extinction and reignition in turbulent non-premixed flames using DNS
journal, May 2011
- Lignell, David O.; Chen, Jacqueline H.; Schmutz, Hans A.
- Combustion and Flame, Vol. 158, Issue 5
An evaluation of the one-dimensional turbulence model: Comparison with direct numerical simulations of CO/H2 jets with extinction and reignition
journal, January 2011
- Punati, Naveen; Sutherland, James C.; Kerstein, Alan R.
- Proceedings of the Combustion Institute, Vol. 33, Issue 1
Vaterite growth and dissolution in aqueous solution I. Kinetics of crystal growth
journal, September 1990
- Kralj, Damir; Brečević, Ljerka; Nielsen, Arne E.
- Journal of Crystal Growth, Vol. 104, Issue 4
The solubilities of calcite, aragonite and vaterite in CO2-H2O solutions between 0 and 90°C, and an evaluation of the aqueous model for the system CaCO3-CO2-H2O
journal, June 1982
- Plummer, L. Niel; Busenberg, Eurybiades
- Geochimica et Cosmochimica Acta, Vol. 46, Issue 6
Upscaling Calcite Growth Rates from the Mesoscale to the Macroscale
journal, June 2013
- Bracco, Jacquelyn N.; Stack, Andrew G.; Steefel, Carl I.
- Environmental Science & Technology, Vol. 47, Issue 13
Vaterite growth and dissolution in aqueous solution III. Kinetics of transformation
journal, June 1997
- Kralj, Damir; Brečević, Ljerka; Kontrec, Jasminka
- Journal of Crystal Growth, Vol. 177, Issue 3-4, p. 248-257
Three-dimensional direct numerical simulation of soot formation and transport in a temporally evolving nonpremixed ethylene jet flame
journal, October 2008
- Lignell, David O.; Chen, Jacqueline H.; Smith, Philip J.
- Combustion and Flame, Vol. 155, Issue 1-2
Fundamentals of crystallization: Kinetic effects on particle size distributions and morphology
journal, January 1991
- Dirksen, J. A.; Ring, T. A.
- Chemical Engineering Science, Vol. 46, Issue 10
Quadrature method of moments for aggregation–breakage processes
journal, February 2003
- Marchisio, Daniele L.; Vigil, R. Dennis; Fox, Rodney O.
- Journal of Colloid and Interface Science, Vol. 258, Issue 2
Investigation of Precipitation of Calcium Carbonate at High Supersaturations
journal, February 2006
- Schlomach, J.; Quarch, K.; Kind, M.
- Chemical Engineering & Technology, Vol. 29, Issue 2
Solution of population balance equations using the direct quadrature method of moments
journal, January 2005
- Marchisio, Daniele L.; Fox, Rodney O.
- Journal of Aerosol Science, Vol. 36, Issue 1
Stable Prenucleation Calcium Carbonate Clusters
journal, December 2008
- Gebauer, Denis; Völkel, Antje; Cölfen, Helmut
- Science, Vol. 322, Issue 5909
The formation and transformation mechanism of calcium carbonate in water
journal, October 1987
- Ogino, Takeshi; Suzuki, Toshio; Sawada, Kiyoshi
- Geochimica et Cosmochimica Acta, Vol. 51, Issue 10, p. 2757-2767
Nucleation, growth and ageing scenarios in closed systems I: A unified mathematical framework for precipitation, condensation and crystallization
journal, December 2006
- Noguera, C.; Fritz, B.; Clément, A.
- Journal of Crystal Growth, Vol. 297, Issue 1
Uintah: a scalable framework for hazard analysis
conference, January 2010
- Berzins, Martin; Luitjens, Justin; Meng, Qingyu
- Proceedings of the 2010 TeraGrid Conference on - TG '10
Dynamics of scalar dissipation in isotropic turbulence: a numerical and modelling study
journal, April 2001
- Vedula, Prakash; Yeung, P. K.; Fox, R. O.
- Journal of Fluid Mechanics, Vol. 433
Mesh adaption for efficient multiscale implementation of one-dimensional turbulence
journal, April 2012
- Lignell, D. O.; Kerstein, A. R.; Sun, G.
- Theoretical and Computational Fluid Dynamics, Vol. 27, Issue 3-4
One-dimensional turbulence: model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows
journal, August 1999
- Kerstein, Alan R.
- Journal of Fluid Mechanics, Vol. 392
The mechanisms of crystallization and transformation of calcium carbonates
journal, January 1997
- Sawada, K.
- Pure and Applied Chemistry, Vol. 69, Issue 5
One-dimensional turbulence: Variable-density formulation and application to mixing layers
journal, February 2005
- Ashurst, Wm. T.; Kerstein, Alan R.
- Physics of Fluids, Vol. 17, Issue 2
Review: Nucleation in solutions revisited
journal, July 2003
- Kashchiev, D.; van Rosmalen, G. M.
- Crystal Research and Technology, Vol. 38, Issue 78
Calcium carbonate crystallization, agglomeration and form during continuous precipitation from solution
journal, February 1991
- Hostomsky, J.; Jones, A. G.
- Journal of Physics D: Applied Physics, Vol. 24, Issue 2
The rate and mechanism of polymorphic transformation of calcium carbonate in water
journal, February 1990
- Ogino, Takeshi; Suzuki, Toshio; Sawada, Kiyoshi
- Journal of Crystal Growth, Vol. 100, Issue 1-2
Theoretical Framework for Multiple-Polymorph Particle Precipitation in Highly Supersaturated Systems
journal, March 2014
- Schroeder, B. B.; Harris, D. D.; Smith, S. T.
- Crystal Growth & Design, Vol. 14, Issue 4
One-dimensional turbulence: vector formulation and application to free shear flows
journal, October 2001
- Kerstein, Alan R.; Ashurst, W. T.; Wunsch, Scott
- Journal of Fluid Mechanics, Vol. 447
Formation process of calcium carbonate from highly supersaturated solution
journal, April 2002
- Kawano, Jun; Shimobayashi, Norimasa; Kitamura, Masao
- Journal of Crystal Growth, Vol. 237-239
Aragonite Kinetics in Dilute Solutions
journal, May 2011
- Romanek, Christopher S.; Morse, John W.; Grossman, Ethan L.
- Aquatic Geochemistry, Vol. 17, Issue 4-5