1,805
Views
28
CrossRef citations to date
0
Altmetric
Original Articles

Population Balance-Monte Carlo Simulation for Gas-to-Particle Synthesis of Nanoparticles

, , &
Pages 1125-1133 | Received 27 Mar 2013, Accepted 21 Jun 2013, Published online: 08 Aug 2013

REFERENCES

  • Bandyopadhyaya , R. , Lall , A. A. and Friedlander , S. K. 2004 . Aerosol Dynamics and the Synthesis of Fine Solid Particles . Powder Technol. , 139 ( 3 ) : 193 – 199 .
  • Buesser , B. , Grohn , A. and Pratsinis , S. 2011 . Sintering Rate and Mechanism of TiO2 Nanoparticles by Molecular Dynamics . J. Phys. Chem. C , 115 : 11030 – 11035 .
  • Fox , R. O. 2006 . Bivariate Direct Quadrature Method of Moments for Coagulation and Sintering of Particle Populations . J. Aerosol Sci. , 37 ( 11 ) : 1562 – 1580 .
  • Goodson , M. and Kraft , M. 2004 . Simulation of Coalescence and Breakage: An Assessment of Two Stochastic Methods Suitable for Simulating Liquid-Liquid Extraction . Chem. Eng. Sci. , 59 ( 18 ) : 3865 – 3881 .
  • Heine , M. C. and Pratsinis , S. E. 2007 . Polydispersity of Primary Particles in Agglomerates Made by Coagulation and Sintering . J. Aerosol Sci. , 38 ( 1 ) : 17 – 38 .
  • Hounslow , M. J. , Ryall , R. L. and Marshall , V. R. 1988 . A Discretized Population Balance for Nucleation, Growth, and Aggregation . AlChE J. , 34 ( 11 ) : 1821 – 1832 .
  • Kazakov , A. and Frenklach , M. 1998 . Dynamic Modeling of Soot Particle Coagulation and Aggregation: Implementation with the Method of Moments and Application to High-Pressure Laminar Premixed Flames . Combust. Flame. , 114 ( 3–4 ) : 484 – 501 .
  • Kobata , A. , Kusakabe , K. and Morooka , S. 1991 . Growth and Transformation of TiO2 Crystallites in Aerosol Reactor . AlChE J. , 37 ( 3 ) : 347 – 359 .
  • Koch , W. and Friedlander , S. K. 1990 . The Effect of Particle Coalescence on the Surface Area of a Coagulating Aerosol . J. Colloid Interface Sci. , 140 ( 2 ) : 419 – 427 .
  • Kostoglou , M. and Konstandopoulos , A. G. 2001 . Evolution of Aggregate Size and Fractal Dimension During Brownian Coagulation . J. Aerosol Sci. , 32 ( 12 ) : 1399 – 1420 .
  • Kruis , F. E. , Kusters , K. A. and Pratsinis , S. E. 1993 . Simple Model for the Evolution of the Characteristics of Aggregate Particles Undergoing Coagulation and Sintering . Aerosol Sci. Technol. , 19 : 514 – 526 .
  • Lin , Y. , Lee , K. and Matsoukas , T. 2002 . Solution of the Population Balance Equation Using Constant-Number Monte Carlo . Chem. Eng. Sci. , 57 ( 12 ) : 2241 – 2252 .
  • Morgan , N. , Wells , C. , Kraft , M. and Wagner , W. 2005 . Modelling Nanoparticle Dynamics: Coagulation, Sintering, Particle Inception and Surface Growth . Combust. Theor. Model. , 9 ( 3 ) : 449 – 461 .
  • Muhlenweg , H. , Gutsch , A. , Schild , A. and Pratsinis , S. E. 2002 . Process Simulation of Gas-to-Particle-Synthesis via Population Balances: Investigation of Three Models . Chem. Eng. Sci. , 57 ( 12 ) : 2305 – 2322 .
  • Nakaso , K. , Fujimoto , T. , Seto , T. , Shimada , M. , Okuyama , K. and Lunden , M. M. 2001 . Size Distribution Change of Titania Nano-Particle Agglomerates Generated by Gas Phase Reaction, Agglomeration, and Sintering . Aerosol Sci. Technol. , 35 : 929 – 947 .
  • Nakaso , K. , Okuyama , K. , Shimada , M. and Pratsinis , S. E. 2003 . Effect of Reaction Temperature on CVD-Made TiO2 Primary Particle Diameter . Chem. Eng. Sci. , 58 : 3327 – 3335 .
  • Okuyama , K. , Ushio , R. , Kousaka , Y. , Flagan , R. C. and Seinfeld , J. H. 1990 . Particle Generation in a Chemical Vapor Deposition Process with Seed Particles . AlChE J. , 36 ( 3 ) : 409 – 419 .
  • Otto , E. , Fissan , H. , Park , S. and Lee , K. 1999 . The Log-Normal Size Distribution Theory of Brownian Aerosol Coagulation for the Entire Particle Size Range: Part II—Analytical Solution Using Dahneke's Coagulation Kernel . J. Aerosol Sci. , 30 ( 1 ) : 17 – 34 .
  • Park , S. H. and Rogak , S. N. 2003 . A One-Dimensional Model for Coagulation, Sintering, and Surface Growth of Aerosol Agglomerates . Aerosol Sci. Technol. , 37 ( 12 ) : 947 – 960 .
  • Patterson , R. I. A. , Jasdeep , S. , Balthasar , M. , Kraft , M. and Wagner , W. 2006 . Extending Stochastic Soot Simulation to Higher Pressures . Combust. Flame. , 145 ( 3 ) : 638 – 642 .
  • Pratsinis , S. E. and Vemury , S. 1996 . Particle Formation in Gases: A Review . Powder Technol. , 88 ( 3 ) : 267 – 273 .
  • Rosner , D. E. and Pyykönen , J. J. 2002 . Bivariate Moment Simulation of Coagulating and Sintering Nanoparticles in Flames . AlChE J. , 48 ( 3 ) : 476 – 491 .
  • Rosner , D. E. and Yu , S. 2001 . MC Simulation of Aerosol Aggregation and Simultaneous Spheroidization . AlChE J. , 47 ( 3 ) : 545 – 561 .
  • Seto , T. , Hirota , A. , Fujimoto , T. , Shimada , M. and Okuyama , K. 1997 . Sintering of Polydisperse Nanometer-Sized Agglomerates . Aerosol Sci. Technol. , 27 : 422 – 438 .
  • Seto , T. , Shimada , M. and Okuyama , K. 1995 . Evaluation of Sintering of Nanometer-Sized Titania Using Aerosol Method . Aerosol Sci. Technol. , 23 ( 2 ) : 183 – 200 .
  • Shekar , S. , Sander , M. , Riehl , R. C. , Smith , A. J. , Braumann , A. and Kraft , M. 2012 . Modelling the Flame Synthesis of Silica Nanoparticles from Tetraethoxysilane . Chem. Eng. Sci. , 70 : 54 – 66 .
  • Smith , M. and Matsoukas , T. 1998 . Constant-Number Monte Carlo Simulation of Population Balances . Chem. Eng. Sci. , 53 ( 9 ) : 1777 – 1786 .
  • Tandon , P. and Rosner , D. E. 1999 . Monte Carlo Simulation of Particle Aggregation and Simultaneous Restructuring . J. Colloid Interface Sci. , 213 ( 2 ) : 273 – 286 .
  • Tsantilis , S. , Briesen , H. and Pratsinis , S. E. 2001 . Sintering Time for Silica Particle Growth . Aerosol Sci. Technol. , 34 : 237 – 246 .
  • Tsantilis , S. , Kammler , H. K. and Pratsinis , S. E. 2002 . Population Balance Modeling of Flame Synthesis of Titania Nanoparticles . Chem. Eng. Sci. , 57 ( 12 ) : 2139 – 2156 .
  • Tsantilis , S. and Pratsinis , S. E. 2004 . Narrowing the Size Distribution of Aerosol-Made Titania by Surface Growth and Coagulation . J. Aerosol Sci. , 35 : 405 – 420 .
  • Xiong , Y. and Pratsinis , S. E. 1993 . Formation of Agglomerate Particles by Aggregation and Sintering–Part I. A Two-Dimensional Solution of the Population Balance Equation . J. Aerosol Sci. , 24 ( 3 ) : 283 – 300 .
  • Zhao , H. , Kruis , F. E. and Zheng , C. 2009 . Reducing Statistical Noise and Extending the Size Spectrum by Applying Weighted Simulation Particles in Monte Carlo Simulation of Coagulation . Aerosol Sci. Technol. , 43 ( 8 ) : 781 – 793 .
  • Zhao , H. , Kruis , F. E. and Zheng , C. 2010 . A Differentially Weighted Monte Carlo Method for Two-Component Coagulation . J. Comput. Phys. , 229 : 6931 – 6945 .
  • Zhao , H. , Kruis , F. E. and Zheng , C. 2011 . Monte Carlo Simulation for Aggregative Mixing of Nanoparticles in Two-Component Systems . Ind. Eng. Chem. Res. , 50 ( 18 ) : 10652 – 10664 .
  • Zhao , H. and Zheng , C . 2013 . A Population Balance-Monte Carlo Method for Particle Coagulation in Spatially Inhomogeneous Systems . Comput. Fluids , 71 : 196 – 207 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.