The Effects of Differential Diffusion on Nanoparticle Coagulation in Temporal Mixing Layers

REFERENCES

• Ahmed , A. M. and Elghobashi , S. 2000 . On the Mechanisms of Modifying; the Structure of Turbulent Homogeneous Shear Flows by Dispersed Particles . Phys. Fluids , 12 : 2906 – 2930 .
   Web of Science ®Google Scholar
• Bernal , L. P. and Roshko , A. 1986 . Streamwise Vortex Structures in Plane Mixing Layers . J. Fluid Mech. , 170 : 499 – 525 .
   Web of Science ®Google Scholar
• Brown , G. L. and Roshko , A. 1974 . On Density Effects and Large Structure in Turbulent Mixing Layers . J. Fluid Mech. , 64 : 775 – 816 .
   Web of Science ®Google Scholar
• Cain , A. B. , Reynolds , W. C. and Ferziger , J. H. 1981 . A Three-Dimensional Simulation of Transition and Early Turbulence in a Time-Developing Mixing Layer Stanford , CA : Stanford University. . Department of Mechanical Engineering Report TF-14
   Google Scholar
• Carpenter , M. H. A High-Order Compact Numerical Algorithm for Supersonic Flows . Twelfth International Conference on Numerical Methods in Fluid Dynamics . Edited by: Morton , K. W. pp. 254 – 258 . New York : Springer-Verlag. . volume 371 of Lecture Notes in Physics
   Google Scholar
• Chein , R. and Chung , J. N. 1987 . Effects of Vortex Pairing on Particle Dispersion in Turbulent Shear Flows . Int. J. Multiphase Flow , 13 : 785 – 802 .
   Web of Science ®Google Scholar
• Dagani , R. 2000 . NASA Goes Nano . Chem. Eng. News , 78 : 36 – 38 .
   Web of Science ®Google Scholar
• Eaton , J. K. and Fessler , J. R. 1994 . Preferential Concentration of Particles by Turbulence . Int. J. Multiphase Flow , 20 : 169 – 209 .
   Web of Science ®Google Scholar
• Elghobashi , S. E. and Truesdell , G. C. 1993 . On the Two-Way Interaction Between Homogeneous Turbulence and Dispersed Solid Particles. I: Turbulence Modification . Phys. Fluids , 5 : 1790 – 1801 .
   Web of Science ®Google Scholar
• Frenklach , M. and Harris , J. S. 1987 . Aerosol Dynamics Modeling Using the Method of Moments . J. Colloid Interface Sci. , 118 : 252 – 261 .
   Web of Science ®Google Scholar
• Friedlander , K. S. 2000 . Smoke, Dust and Haze: Fundamental of Aerosol Dynamics. New York : Oxford University Press. .
   Google Scholar
• Frishman , F. , Hussainov , A. , Kartushinsky , A. and Mulgi , A. 1997 . Numerical Simulation of a Two-phase Turbulent Pipe-Jet Flow Loaded with Polydispersed Solid Admixture, Int . J. Multiphase Flow , 23 : 765 – 796 .
   Web of Science ®Google Scholar
• Fuchs , N. A. 1964 . The Mechanics of Aerosols. Oxford , , England : Pergamon. .
   Google Scholar
• Garrick , S. C. , Lehtinen , K. E. J. and Zachariah , M. R. Modeling and Simulation of Nanoparticle Coagulation in High Reynolds Number Incompressible Flows . Proc. Joint US Sections Meeting of the Combustion Institute . March 25–28 , Oakland , CA .
   Google Scholar
• Garrick , S. C. , Lehtinen , K. E. J. and Zachariah , M. R. 2003 . Brownian Coagulation of Nanoparticles in Temporal Mixing Layers. I: Direct Numerical Simulation . J. Aerosol Sci. , in press
   PubMedGoogle Scholar
• Garrick , S. C. , Modem , S. , Zachariah , M. R. and Lehtinen , K. E. J. 2001b . “ Simulation of Particle Coagulation in Temporally Developing Mixing Layers. ” . In DNS/LES-Progress and Challenges Edited by: Liu , C. , Sakell , L. and Beutner , T. 621 – 628 . Columbus , OH : Greyden Press. .
   Google Scholar
• Gelbard , F. and Seinfeld , J. H. 1980 . Simulation of Multicomponent Aerosol Dynamics . J. Colloid Interface Sci. , 78 : 485 – 501 .
   Web of Science ®Google Scholar
• Gelbard , F. , Tambour , Y. and Seinfeld , J. H. 1980 . Sectional Representations for Simulating Aerosol Dynamics . J. Colloid Interface Sci. , 76 : 541 – 556 .
   Web of Science ®Google Scholar
• Givi , P. 1989 . Model Free Simulations of Turbulent Reactive Flows . Prog. Energy Combust. Sci. , 15 : 1 – 107 .
   Web of Science ®Google Scholar
• Hansell , D. , Kennedy , I. M. and Kollmann , W. 1992 . A Simulation of Particle Dispersion in a Turbulent Jet . Int. J. Multiphase Flow , 18 : 559 – 576 .
   Web of Science ®Google Scholar
• Hounslow , M. , Ryall , R. and Marshall , V. 1988 . Discretized Population Balance for Nucleation, Growth, and Aggregation . AICHEJ. , 34 : 1821 – 1832 .
   Web of Science ®Google Scholar
• Johannessen , T. , Pratsinis , S. E. and Livbjerg , H. 2001 . Computational Analysis of Coagulation and Coalescence in the Flame Synthesis of Titania Particles . Powder Technol. , 118 : 242 – 250 .
   Web of Science ®Google Scholar
• Kennedy , C. A. and Carpenter , M. H. 1994 . Several New Numerical Methods for Compressible Shear-Layer Simulations . Appi. Num. Math. , 14 : 397 – 433 .
   Web of Science ®Google Scholar
• Khakpour , M. and Garrick , S. C. Effects of Diffusion on Nanoparticle Coagulation and Growth . Proc. Joint US Sections Meeting of the Combustion Institute . March 16–29 , Chicago , IL .
   Google Scholar
• Landgrebe , J. D. and Pratsinis , S. E. 1990 . A Discrete-Sectional Model for Particulate Production by Gas-phase Chemical Reaction and Aerosol Coagulation in the Free-regime . J. Colloid Interface Sci. , 139 : 63 – 86 .
   Web of Science ®Google Scholar
• Lehtinen , K. E. J. and Zachariah , M. R. 2001 . Self-preserving Theory for the Volume Distribution of Particles Undergoing Brownian Coagulation . J. Colloid Interf. Sci. , 242 : 314 – 318 .
   Web of Science ®Google Scholar
• Matsoukas , T. and Friedlander , S. K. 1991 . Dynamics of Aerosol Agglomerate Formation . J. Colloid Interface Sci. , 146 : 495 – 506 .
   Web of Science ®Google Scholar
• McGraw , R. , Nemesure , S. and Schwartz , S. E. 1998 . Properties and Evolution of Aerosols with Distributions Having Identical Moments . J. Aerosol. Sci. , 29 : 761 – 772 .
   Web of Science ®Google Scholar
• Miller , S. and Garrick , S. C. 2004 . Nanoparticle Coagulation in a Planar Jet . Aerosol Sci. Technol. , 38 : 79 – 89 .
   Web of Science ®Google Scholar
• Miller , R. S. , Madnia , C. K. and Givi , P. 1994 . Structure of a Turbulent Reacting Mixing Layer . Combust. Sci. Technol. , 99 : 1 – 36 .
   Web of Science ®Google Scholar
• Modem , S. and Garrick , S. C. 2003 . Nanoparticle Concentrations in Temporal Mixing Layers: Mean and Size-Selected Image . J. Visualization , 6 : 333 – 342 .
   Web of Science ®Google Scholar
• Modem , S. , Garrick , S. C. , Zachariah , M. R. and Lehtinen , K. E.J. Direct Numerical Simulation of Nanoparticle Coagulation in a Temporal Mixing Layer . Proceedings of the 29th Symp. (Int.) on Combustion . Pittsburgh , PA : The Combustion Institute. .
   Google Scholar
• Moody , E. G. and Collins , L. R. 2003 . Effect of Mixing on the Nucleation and Growth of Titania Particles . Aerosol Sci. Technol. , 37 : 403 – 424 .
   Web of Science ®Google Scholar
• Moser , R. D. and Rogers , M. M. 1993 . The Three-Dimensional Evolution of a Plane Mixing Layer: Pairing and Transition to Turbulence . J. Fluid Mech. , 247 : 275
   Web of Science ®Google Scholar
• Nilsen , V. and Kosály , G. 1997 . Differentially Diffusing Scalars in Turbulence . Phys. Fluids , 9 : 3386 – 3397 .
   Web of Science ®Google Scholar
• Ottino , J. M. 1989 . The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge , , UK : Cambridge University Press. .
   Google Scholar
• Pratsinis , S. E. 1989 . Particle Production by Gas-to-Particle Conversion in Turbulent Flow . J. Aerosol Sci. , 20 : 1461 – 1464 .
   Web of Science ®Google Scholar
• Pratsinis , S. E. 1998 . Flame Aerosol Synthesis of Ceramic Powders . Prog. Energy Combust. Sci. , 24 : 197 – 219 .
   Web of Science ®Google Scholar
• Pyykönen , J. and Jokiniemi , J. 2000 . Computational Fluid Dynamics Based Sectional Aerosol Modelling Schemes . J. Aerosol Sci. , 31 : 531 – 550 .
   Web of Science ®Google Scholar
• Reade , W. C. and Collins , L. R. 2000a . Effects of Preferential Concentration on Turbulent Collision Rates . Phys. Fluids , 12 : 2530 – 2540 .
   Web of Science ®Google Scholar
• Reade , W. C. and Collins , L. R. 2000b . A Numerical Study of the Particle Size Distribution of an Aerosol Undergoing Turbulent Coagulation . J. Fluid Mech. , 415 : 45 – 64 .
   Web of Science ®Google Scholar
• Reist , P. C. 1993 . Aerosol Science and Technology, , 2nd ed. New York : McGraw-Hill. .
   Google Scholar
• Riley , J. J. and Metcalfe , R. W. 1980 . Direct Numerical Simulations of a Perturbed, Turbulent Mixing Layer. AIAA Paper 80–0274
   Google Scholar
• Roshko , A. 1976 . Structure of Turbulent Shear Flows . AIAA J. , 14 : 1349 – 1357 .
   Google Scholar
• Samimy , M. and Lele , S. K. 1991 . Motion of Particles with Inertia in a Compressible Free Shear Layer . Phys. Fluids A , 3 : 1915 – 1923 .
   Web of Science ®Google Scholar
• Sandham , N. D. and Reynolds , W. C. 1991 . Three-Dimensional Simulations of Large Eddies in the Compressible Mixing Layer . J. Fluid Mech. , 224 : 133 – 158 .
   Web of Science ®Google Scholar
• Settumba , N. and Garrick , S. C. 2003 . Direct Numerical Simulation of Nanoparticle Coagulation in a Temporal Mixing Layer via a Moment Method . J. Aerosol Sci. , 34 : 149 – 167 .
   Web of Science ®Google Scholar
• Squires , K. D. and Eaton , J. K. 1991 . Preferential Concentration of Particles by Turbulence . Phys. Fluids , 3 : 1169 – 1178 .
   Web of Science ®Google Scholar
• Tsantilis , S. and Pratsinis , S. 2000 . Evolution of Primary and Aggregate Particle-Size Distributions by Coagulation and Sintering . AICHEJ. , 46 : 407 – 415 .
   Web of Science ®Google Scholar
• Ulitsky , M. , Vaithianathan , T. and Collins , L. R. 2002 . A Spectral Study of Differential Diffusion of Passive Scalars in Isotropic Turbulence . J. Fluid Mech. , 460 : 1 – 39 .
   Google Scholar
• Uthuppan , J. , Aggarwal , S. K. , Grinstein , F. F. and Kailasanath , K. 1994 . Particle Dispersion in a Transitional Axisymmetric Jet: A Numerical Simulation . AIAA J. , 32 : 2004 – 2014 .
   Google Scholar
• Wang , L. 1992 . Dispersion of Particles Injected Non-uniformly in a Mixing Layer . Phys. Fluids A , 4 : 1599 – 1601 .
   Google Scholar
• Wen , F. , Kamalu , K. , Chung , J. N. , Crowe , C. T. and Troutt , T. R. 1992 . Particle Dispersion by Vortex Structures in Plane Mixing Layers . J. Fluids Engr. , 114 : 657 – 666 .
   Web of Science ®Google Scholar
• Wooldridge , M. S. 1998 . Gas-Phase Combustion Synthesis of Particles . Prog. Energy Combust. Sci. , 24 : 63 – 87 .
   Web of Science ®Google Scholar
• Wright , D. L. , Shaocai , Y. , Kasibhatla , P. S. , McGraw , R. , Schwartz , S. E. , Saxena , V. K. and Yue , G. K. 2002 . Retrieval of Aerosol Properties From Moments of the Particle Size Distribution for Kernels Involving the Step Function: Cloud Droplet Activation . J. Aerosol Sci. , 33 : 319 – 337 .
   Web of Science ®Google Scholar
• Wu , J. and Menon , S. 2001 . Aerosol Dynamics in the Near Field of Exhaust Plumes . J. Appl. Meteor. , 40 : 795 – 809 .
   Google Scholar
• Xiong , Y. and Pratsinis , S. E. 1991 . Gas Phase Production of Particles in Reactive Turbulent Flows . J. Aerosol Sci. , 22 : 637 – 655 .
   Web of Science ®Google Scholar
• Xiong , Y. and Pratsinis , S. E. 1993 . Formation of Agglomerate Particles by Coagulation and Sintering—Part I. A Two-dimensional Solution of the Population Balance Equation . J. Aerosol Sci. , 24 : 283 – 300 .
   Web of Science ®Google Scholar
• Yuu , S. , Ikeda , K. and Umekage , T. 1996 . Flow-field Prediction and Experimental Verification of Low Reynolds Number Gas-particle Turbulent Jets . Colloids Surfaces , 109 : 13 – 27 .
   Google Scholar