Hostname: page-component-84b7d79bbc-7nlkj Total loading time: 0 Render date: 2024-07-27T16:10:43.987Z Has data issue: false hasContentIssue false

Modeling of the Formation of Boron Carbide Particles in an Aerosol Flow Reactor

Published online by Cambridge University Press:  25 February 2011

Yun Xiong
Affiliation:
Center for Aerosol Processes, Department of Chemical Engineering, University of Cincinnati, Cincinnati, OH 45221
Sotiris E. Pratsinis
Affiliation:
Center for Aerosol Processes, Department of Chemical Engineering, University of Cincinnati, Cincinnati, OH 45221
W. Weimer
Affiliation:
Ceramics and Advanced Materials Research, Dow Chemical U.S.A., Midland, MI 48674
Get access

Abstract

The formation of submicron crystals of boron carbide (B4C) by rapid carbothermal reduction of intimately mixed carbon-boron oxide precursor powders in an aerosol flow reactor at temperatures above the boiling point of boron oxide is investigated. The employed high heating rates (105 K/s) of the process force release of gaseous boron oxide and suboxides and rupture of the precursor particles resulting in formation of boron carbide molecular clusters that grow to macroscopic particles by coagulation. Consequently, the formation and growth of B4C particles is described by simultaneous interparticle collision and coalescence using a two-dimensional distribution model that traces the evolution of both size and shape characteristics of the particles through their volume and surface area. Here, in addition to the coagulation term, the governing population balance equation includes a coalescence contribution based on B4C sintering law. The predicted evolution of the two-dimensional particle size distribution leads to a direct characterization of morphology as well as the average size and polydispersity of the powders. Furthermore, model predictions of the volume and surface area of boron carbide particles can be directly compared with experimental data of B4C specific surface area and grain size.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Weimer, A. W., Moore, W. G., Roach, R. P., Haney, C. N. and Rafaniello, W., AIChE J. 37, 759(1991).Google Scholar
2. Lipp, A.. Tech. Rundschau, 28 (14), 33 (1965).Google Scholar
3. Weast, R. C., Astle, M. J. and Beyer, W. H., CRC Handbook of Chemistry and Physics, 6th ed. (CRC Press, Florida, 1986).Google Scholar
4. Lamoreaux, R. H., Hildenbrand, D. L. and Brewer, L., J. Phys. Chem. Ref. Data 16 (3), 419 (1987).Google Scholar
5. Weimer, A. W., Moore, W. G., Roach, R. P., Hitt, J. E., Dixit, R. S. and Pratsinis, S. E., to be submitted to the Journal of the American Ceramic Society (1991).Google Scholar
6. Celik, I., O'Brien, T. J. and Godbole, D. B., Chem. Eng. Sci. 45 (1), 65 (1990).CrossRefGoogle Scholar
7. Koch, W. and Friedlander, S. K., J. Colloid Interf. Sci. 140 (2), 419 (1990).Google Scholar
8. Xiong, Y. and Pratsinis, S. E., to be submitted to the Journal of Aerosol Science (1991).Google Scholar
9. Fuchs, N. A., The Mechanics of Aerosols (Pergamon Press, New York, 1964).Google Scholar
10. Seinfeld, J. H., Atmospheric Chemistry and Physics of Air Pollution (Wiley, New York, 1986), Table 10.1.Google Scholar
11. Greskovich, C. and Rosolowski, J. H., J. Am. Ceram. Soc. 59 (8), 336 (1976).CrossRefGoogle Scholar
12. Kingery, W. D., Bowen, H. K. and Uhlmann, D. R., Introduction to Ceramics (Wiley, New York, 1976).Google Scholar
13. van Rijswijk, W. and Shanefield, D. J., J. Am. Ceram. Soc. 73 (1), 148 (1990).Google Scholar
14. Livey, D. T. and Murray, P., J. Am. Ceram. Soc. 39 (11), 363 (1956).CrossRefGoogle Scholar
15. Dean, J. A., Lange's Handbook of Chemistry, 13th ed. (McGraw-Hill, New York, 1985).Google Scholar
16. Gelbard, F., Tambour, Y. and Seinfeld, J. H., J. Colloid Interf. Sci. 76 (2), 541 (1980).CrossRefGoogle Scholar
17. Xiong, Y. and Pratsinis, S. E., J. Aerosol Sci. 22 (5), 637 (1991).Google Scholar
18. IMSL, User's Manual (IMSL Math / Library, Vol. 2, Version 1.1, Houston, 1989).Google Scholar