Stochastic and deterministic models for nucleation and growth in non-isothermal and/or non-isobaric powder transformations
The calculation of fractional conversion can be very difficult in certain cases of nucleation and growth transformations (Mampel assumptions): it has only been developed for a few shapes of grains (spheres, cylinders) and only in isobaric and isothermal conditions. Here, a stochastic model which is...
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| Veröffentlicht in: | Chemical engineering science 2004-04, Vol.59 (7), p.1393-1401 |
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| container_title | Chemical engineering science |
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| creator | Helbert, Céline Touboul, Eric Perrin, Stéphane Carraro, Laurent Pijolat, Michèle |
| description | The calculation of fractional conversion can be very difficult in certain cases of nucleation and growth transformations (Mampel assumptions): it has only been developed for a few shapes of grains (spheres, cylinders) and only in isobaric and isothermal conditions. Here, a stochastic model which is intrinsically independent on geometry and which stands for non-isobaric and/or non-isothermal reactions is presented. The numerical evaluation of this model can be carried out in two different ways. First a slow Monte Carlo approach which is valid for all kinds of shapes and external conditions is presented, then, a faster, more classical approach is given which allows changing external conditions but only for well-known shapes. |
| doi_str_mv | 10.1016/j.ces.2003.12.004 |
| format | Article |
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| ispartof | Chemical engineering science, 2004-04, Vol.59 (7), p.1393-1401 |
| issn | 0009-2509 1873-4405 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Applied sciences Chemical and Process Engineering Chemical engineering Engineering Sciences Exact sciences and technology Growth Kinetic model Miscellaneous Monte Carlo simulation Nucleation Numerical simulation Poisson process |
| title | Stochastic and deterministic models for nucleation and growth in non-isothermal and/or non-isobaric powder transformations |
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