Evolution of the fractal dimension for simultaneous coagulation and sintering

Chemical Engineering Science

Volumn 61, Issue 1, 2006, Pages 293-305

  Schmid, Hans Joachim ^a   Al Zaitone, Belal ^a   Artelt, Christian ^b   Peukert, Wolfgang ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Coagulation; Fractals; Nanostructure; Particle formation; Simulation; Sintering

Indexed keywords

AEROSOLS; COMPUTER SIMULATION; MATHEMATICAL MODELS; NANOSTRUCTURED MATERIALS; SINTERING;

FRACTAL DIMENSIONS; PARTICLE FORMATIONS;

COAGULATION;

SINTER;

EID: 25644438478     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2004.11.068     Document Type: Conference Paper

References (32)

1. M.K. Akhtar, G.G. Lipscomb, and S.E. Pratsinis Monte Carlo simulation of particle coagulation and sintering Aerosol Science and Technology 21 1994 83 93
2. C. Artelt, H.-J. Schmid, and W. Peukert On the relevance of accounting for the evolution of the fractal dimension in aerosol process simulations Journal of Aerosol Science 34 2003 511 534
3. C. Artelt, H.-J. Schmid, and W. Peukert On the impact of accessible surface and surface energy on particle formation and growth from the vapour phase Journal of Aerosol Science 36 2005 147 172
4. Artelt, C., Schmid, H.-J., Peukert, W., 2005. Modelling titania formation at typical industrial process conditions: effect of surface shielding and surface energy on relevant growth mechanisms. Chemical Engineering Science, in press, doi: 10.1016/j.ces.2004.12.053.
5. C. Batz-Sohn Particle sizes of fumed oxides: A new approach using PCS signals Particle & Particle Systems Characterization 20 2003 370 378
6. A.M. Brasil, T.L. Farias, M.G. Carvalho, and U.O. Koylu Numerical characterization of aggregated particles Journal of Aerosol Science 32 2001 489 508
7. W.S. Coblenz, J.M. Dynys, R.M. Cannon, and R.L. Coble Initial stage solid state sintering models. A critical analysis and assessment G.C. Kurzynski Sintering Processes - Materials Science Research vol. 13 1980 Plenum Press New York 141 157
8. A. Dalis, and S.K. Friedlander A lattice chain model for the thermal restructuring of nanoparticle chain aggregates Journal of Aerosol Science 36 2005 27 42
9. S.K. Friedlander, and M.K. Wu Linear rate law for the decay of the excess surface area of a coalescing solid particle Physical Review B 49 1994 3622 3624
10. R.M. Kadushnikov, V.V. Skorokhod, I.G. Kamenin, V.M. Alievskii, E.Yu. Nurkanov, and D.M. Alievskii Computer simulation of spherical particle sintering Powder Metallurgy and Metal Ceramics 40 2001 154 163
11. M.J. Kirchhof, A. Rozas, H.-J. Schmid, and W. Peukert Simulation of viscous flow aerosol sintering by three-dimensional computational fluid dynamics Journal of Aerosol Science 35 2004 S47f
12. M.J. Kirchhof, H.-J. Schmid, and W. Peukert A new reactor system for the study of high-temperature short-time sintering of nanoparticles Review of Scientific Instruments 75 2004 4833 4840
13. F.E. Kruis, K.A. Kusters, S.E. Pratsinis, and B. Scarlett A simple model for the evolution of the characteristics of aggregate particles undergoing coagulation and sintering Aerosol Science and Technology 19 1993 514 526
14. P. Kulkarni, and P. Biswas Morphology of nanostructured films for environmental applications: simulation of simultaneous sintering and growth Journal of Nanoparticle Research 5 2003 259 268
15. M. Lattuada, H. Wu, and M. Morbidelli A simple model for the structure of fractal aggregates Journal of Colloid and Interface Science 268 2003 106 120
16. K.E.J. Lehtinen, R.S. Windeler, and S.K. Friedlander A note on the growth of primary particles in agglomerate structures by coalescence Journal of Colloid and Interface Science 182 1996 606 608
17. B.B. Mandelbrot The Fractal Geometry of Nature 1982 Freeman New York
18. P. Meakin Formation of fractal clusters and networks by irreversible diffusion-limited aggregation Physical Review Letters 51 1983 1119 1122
19. Meakin, P., 1986. In: Stanley, H.E., Ostrowsky, N. (Eds.), On Growth and Form. Martinus Nijhoff, Dordrecht, The Netherlands, p. 111ff.
20. H. Mühlenweg, A. Gutsch, A. Schild, and S.E. Pratsinis Process simulation of gas-to-particle-synthesis via population balances: investigation of three models Chemical Engineering Science 57 2002 2305 2322
21. D.E. Rosner, and J.J. Pyykönen Bivariate moment simulation of coagulating and sintering nanoparticles in flames A.I.Ch.E. Journal 48 3 2002 476 491
22. D.E. Rosner, and S. Yu MC simulation of aerosol aggregation and simultaneous spheroidization A.I.Ch.E. Journal 47 3 2001 545 561
23. D.W. Schaefer Fractal models and the structure of materials MRS Bulletin 13 1988 22 28
24. H.-J. Schmid, S. Tejwani, C. Artelt, and W. Peukert Monte-Carlo simulation of aggregate morphology for simultaneous coagulation and sintering Journal of Nanoparticle Research 6 2004 613 626
25. M. Seipenbusch, A.P. Weber, A. Schiel, and G. Kasper Influence of the gas atmosphere on restructuring and sintering kinetics of nickel and platinum aerosol nanoparticle agglomerates Journal of Aerosol Science 34 2003 1699 1709
26. R. Sempéré, D. Bourret, T. Woignier, J. PHalippou, and R. Jullien Scaling approach to sintering of fractal matter Physical Review Letters 71 20 1993 3307 3310
27. C.M. Sorensen, and G.C. Roberts The prefactor of fractal aggregates Journal of Colloid and Interface Science 186 1997 447 452
28. P.T. Spicer, O. Chaoul, S. Tsantilis, and S.E. Pratsinis Titania formation by TiCl 4 gas phase oxidation, surface growth and coagulation Journal of Aerosol Science 33 2002 17 34
29. S. Tsantilis, H.K. Kammler, and S.E. Pratsinis Population balance modeling of flame synthesis of titania nanoparticles Chemical Engineering Science 57 2002 2139 2156
30. G.D. Ulrich, and N.S. Subramanian Combustion Science and Technology 17 1977 119
31. Y. Xiong, and S.E. Pratsinis Formation of agglomerate particles by coagulation and sintering - Part 1. A two-dimensional solution of the population balance equation Journal of Aerosol Science 24 1993 283 300
32. G. Yang, and P. Biswas Computer simulation of the aggregation and sintering restructuring of fractal-like clusters containing limited numbers of primary particles Journal of Colloid and Interface Science 211 1999 142 150