Effect of mixing on the nucleation and growth of titania particles

Aerosol Science and Technology

Volumn 37, Issue 5, 2003, Pages 403-424

  Moody, Eric G ^a,b   Collins, Lance R ^a,c  

^a The Pennsylvania State University   (United States)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

^c Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSOLS; ALGORITHMS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MORPHOLOGY; NUCLEATION; PARTICLE SIZE ANALYSIS; RATE CONSTANTS; TURBULENCE;

SPECIES CONCENTRATION;

TITANIUM COMPOUNDS;

OXYGEN; TITANIUM TETRACHLORIDE;

AEROSOL; GAS-SOLID MIXING; SIZE DISTRIBUTION; TITANIUM OXIDE;

ACCURACY; AEROSOL; ARTICLE; CHEMICAL REACTION; CONCENTRATION RESPONSE; GROWTH; HIGH TEMPERATURE; MORPHOLOGY; PARTICLE SIZE; PRIORITY JOURNAL; SIMULATION; VELOCITY;

EID: 0037407564     PISSN: 02786826     EISSN: None     Source Type: Journal    
DOI: 10.1080/02786820300979     Document Type: Article

References (53)

1. Akhtar, M. K., Xiong, Y., and Pratsinis, S. E. (1991). Vapor Synthesis of Titania Powders by Titanium Tetrachloride Oxidation, AIChE J. 37:1561-1570.
2. Bałdyga, J., and Orciuch, W. (1997). Closure Problem for Precipitation, Chem. Eng. Res. and Design 75:160-170.
3. Bałdyga, J., and Orciuch, W. (2001). Some Hydrodynamic Aspects of Precipitation, Powder Tech. 121:9-19.
4. Bałdyga, J., Podgórska, W., and Pohorecki, R. (1995). Mixing-Precipitation Model with Application to Double Feed Semibatch Precipitation, Chem. Eng. Sci. 50:1281-1300.
5. Batchelor, G. K. (1959). Small-Scale Variation of Convected Quantities Like Temperature in a Turbulent Fluid. Part I. General Discussion and the Case of Small Conductivity, J. Fluid Mech. 5:113-133.
6. Bogucki, D., Domaradzki, J. A., and Yeung, P.-K. (1997). Direct Numerical Simulations of Passive Scalars with Pr > 1 Advected by Turbulent Flow, J. Fluid Mech. 343:111-130.
7. Bowen, H. K. (1980). Basic Research Need on High Temperature Ceramics for Energy Applications, Mater. Sci. Eng. 44:1.
8. Canuto, C., Hussaini, M. Y., Quarteroni, A., and Zang, T. A. (1988). Spectral Methods in Fluid Dynamics, Springer-Verlag, New York.
9. Chakrabarti, M., Kerr, R. M., and Hill, J. C. (1995). Direct Numerical Simulation of Chemical Selectivity in Homogeneous Turbulence, AIChE J. 41:2356-2370.
10. Chen, M., Kontomaris, K., and McLaughlin, J. B. (1998). Direct Numerical Simulation of Droplet Collisions in a Turbulent Channel Flow Part ii: Collision Rates, Int. J. Multiphase Flow 24:1105-1138.
11. Corrsin, S. (1951). On the Spectrum of Isotropic Temperature Fluctuations in Isotropic Turbulence, J. Appl. Phys. 22:469-473.
12. Eswaran, V., and Pope, S. B. (1987). Direct Numerical Simulations of the Turbulent Mixing of a Passive Scalar, Phys. Fluids 31:506-520.
13. Eswaran, V., and Pope, S. B. (1988). An Examination of Forcing in Direct Numerical Simulations of Turbulence, Comput. Fluids 16:257-278.
14. Fedioun, I., Lardjane, N., and Gökalp, I. (2001). Revisiting Numerical Errors in Direct and Large Eddy Simulations of Turbulence: Physical and Spectral Spaces Analysis, J. Comput. Phys. 174:816-851.
15. Frenklach, M., and Harris, S. J. (1987). Aerosol Dynamics Modeling Using the Method of Moments, J. Colloid Interf. Sci. 118:252-261.
16. Gao, F. (1991). An Analytical Solution for the Scalar Probability Density Function in Homogeneous Turbulence, Phys. Fluids A 3:511.
17. Gelbard, F., and Seinfeld, J. H. (1980). Simulation of Multicomponent Aerosol Dynamics, J. Colloid Interface Sci. 78:485-501.
18. Givi, P. (1989). Model-Free Simulations of Turbulent Reactive Flows, Prog. Energy Combust. Sci. 15:1-107.
19. Givi, P., and McMurtry, P. A. (1988). Non-Premixed Reaction in Homogeneous Turbulence: Direct Numerical Simulations, AIChE J. 34:1039.
20. Hinze, J. O. (1975). Turbulence, McGraw-Hill, New York.
21. Kontomaris, K., and Hanratty, T. J. (1994). Effect of Molecular Diffusivity on Point Source Diffusion in the Center of a Numerically Simulated Turbulent Channel Flow, Int. J. Heat Mass Transfer 37:1817-1828.
22. Landgrebe, J. D., and Pratsinis, S. E. (1989). Gas-Phase Manufacture of Particulates: Interplay of Chemical Reaction and Aerosol Coagulation in the Free-Molecular Regime, Ind. Eng. Chem. Res. 28:1474-1481.
23. Lee, K. W., Lee, Y. J., and Han, D. S. (1997). The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime, J. Coll. Interf. Sci. 188:486-492.
24. Lee, Y. Y., and Pope, S. B. (1995). Nonpremixed Turbulent Reacting Flow Near Extinction, Combust. Flame 101:501-528.
25. Lele, S. K. (1991). Compact Finite Difference Schemes with Spectral-like Resolution, J. Comput. Phys. 103:16-42.
26. Leonard, A. D., and Hill, J. C. (1988). Direct Numerical Simulation of Turbulent Flows with Chemical Reaction, J. Sci. Computing 3:25.
27. Leonard, A. D., and Hill, J. C. (1992). Mixing and Chemical Reaction in Sheared and Nonsheared Homogeneous Turbulence, Fluid Mech. Res. 10:273-297.
28. McMurtry, P. A., and Givi, P. (1989). Direct Numerical Simulations of Mixing and Reaction in a Nonpremixed Homogeneous Turbulent Flow, Combust. Flame 77:171-185.
29. Mell, W. E., Nilsen, V., Kosaly, G., and Riley, J. J. (1993). Direct Numerical Simulation Investigation of the Conditional Moment Closure Model for Nonpremixed Turbulent Reacting Flows, Combust. Sci. Tech. 6:1331-1356.
30. Modem, S., Garrick, S. C., Zachariah, M. R., and Lehtinen, K. E. (2002). Direct Numerical Simulation of Nanoparticle Coagulation in a Temporal Mixing Layer, Proc. Combust. Inst. 29:1. in press.
31. Moody, E. G. (1999). A Direct Numerical Simulation Study of the Impact of Mixing on the Particle Size Distribution of Titania. Master's Thesis. The Pennsylvania State University.
32. Park, S. H., Kruis, F. E., Lee, K. W., and Fissan, H. (2002). Evolution of Particle Size Distributions Due to Turbulent and Brownian Coagulation, Aerosol Sci. Tech. 36:419-432.
33. Patterson, G. S., and Orszag, S. A. (1971). Spectral Calculation of Isotropic Turbulence: Efficient Removal of Aliasing Interactions, Phys. Fluids 14:2538-2541.
34. Pratsinis, S. E., Bai, H., Frenklach, M., Biswas, P., and Mastrangelo, S. V. R. (1990). Kinetics of Titanium(iv) Chloride Oxidation, J. Am. Ceram. Soc. 73:2158-2162.
35. Pratsinis, S. E., Zhu, W., and Vemury, S. (1996). The Role of Gas Mixing in Flame Synthesis of Titania Powders, Powder Tech. 86:87-93.
36. Pyykönen, J., and Jokiniemi, J. (2000). Computational Fluid Dynamics Based Sectional Aerosol Modelling Schemes, J. Aerosol Sci. 31:531-550.
37. Reade, W. C., and Collins, L. R. (1998). Collision and Coagulation in the Infinite-Stokes-Number Regime, Aerosol Sci. and Tech. 29:493-509.
38. Reade, W. C., and Collins, L. R. (2000). A Numerical Study of the Particle Size Distribution of an Aerosol Undergoing Turbulent Coagulation, J. Fluid Mech. 415:45-64.
39. Riley, J. J., Metcalfe, R. W., and Orszag, S. A. (1986). Direct Numerical Simulations of Chemically Reacting Turbulent Mixing Layers, Phys. Fluids 29:406-422.
40. Seinfeld, J. H. (1986). Atmospheric Chemistry and Physics of Air Pollution, Wiley, New York.
41. Smoluchowski, M. (1917). Versuch Einer Mathematischen Theorie Der Koagulation-Skinetic Kolloider Losungen, Z. Phys. Chem. 92:129.
42. Sundaram, S., and Collins, L. R. (1996). Numerical Considerations in Simulating a Turbulent Suspension of Finite-Volume Particles, J. Comput. Phys. 124:337-350.
43. Sundaram, S., and Collins, L. R. (1997). Collision Statistics in an Isotropic, Particle-Laden Turbulent Suspension I. Direct Numerical Simulations, J. Fluid Mech. 335:75-109.
44. Ulitsky, M., and Collins, L. R. (1997). Relative Importance of Coherent Structures vs. Background Turbulence in the Propagation of a Premixed Flame, Combust. Flame 111:257-275.
45. Ulitsky, M., Vaithianathan, T., and Collins, L. R. (2002). A Spectral Study of Differential Diffusion of Passive Scalars in Isotropic Turbulence, J. Fluid Mech. 460:1-38.
46. Ulrich, G. D. (1984). Flame Synthesis of Fine Particles, Chem. Eng. News 62:22.
47. Wang, L.-P., Wexler, A. S., and Zhou, Y. (1998a). On the Collision Rate of Small Particles in Isotropic Turbulence. I. Zero-Inertia Case, Phys. Fluids 10:266-276.
48. Wang, L.-P., Wexler, A. S., and Zhou, Y. (1998b). Statistical Mechanical Descriptions of Turbulent Coagulation, Phys. Fluids 10:2647-2651.
49. Warhaft, Z., and Lumley, J. L. (1978). An Experimental Study of the Decay of Temperature Fluctuations in Grid Generated Turbulence, J. Fluid Mech. 88:659-684.
50. Whitby, E. R., and McMurry, P. H. (1997). Modal Aerosol Dynamics Modeling, Aerosol Sci. Tech. 27:673-688.
51. Xiong, Y., and Pratsinis, S. E. (1991). Gas Phase Production of Particles in Reactive Turbulent Flows, J. Aerosol Sci. 22:637-655.
52. Yeung, P. K. (1996). Multi-Scalar Triadic Interactions in Differential Diffusion with and Without Mean Scalar Gradients, J. Fluid Mech. 321:235.
53. Yeung, P. K., and Pope, S. B. (1993). Differential Diffusion of Passive Scalars in Isotropic Turbulence, Phys. Fluids A 5:2467.