---
_id: '26159'
abstract:
- lang: eng
  text: 'A population balance model is presented, which tracks particle growth in
    the gas phase and accounts for simultaneous agglomeration and sintering: Simulations
    reveal the evolution of the full distribution of a volume equivalent diameter
    and, amongst others, the evolution of the agglomerate collision diameter, a mean
    primary particle size and the number of primary particles per agglomerate. Furthermore,
    assuming fractal behaviour of the growing agglomerate particles—for the first
    time—a model for the evolution of a mean value of the fractal dimension based
    on physical and process parameters is proposed and incorporated into the simulation
    model. PARSIVAL, a commercial solver for integro-differential equations is employed
    to solve the equations involved. It is based on a generalised finite-element scheme
    with self-adaptive grid- and order construction. Calculations are performed to
    validate the model against monodisperse and sectional models published in literature
    for the exemplary case of Si production. The results are in good agreement if
    the same simplifying assumptions are made. However, results obtained from the
    new model for both—isothermal and non-isothermal process conditions—clearly show
    that it is important to consider the changing fractal dimension in many cases.'
author:
- first_name: C.
  full_name: Artelt, C.
  last_name: Artelt
- first_name: Hans-Joachim
  full_name: Schmid, Hans-Joachim
  id: '464'
  last_name: Schmid
- first_name: W.
  full_name: Peukert, W.
  last_name: Peukert
citation:
  ama: Artelt C, Schmid H-J, Peukert W. On the relevance of accounting for the evolution
    of the fractal dimension in aerosol process simulations. <i>Journal of Aerosol
    Science</i>. 2003;34(5):511-534. doi:<a href="https://doi.org/10.1016/s0021-8502(03)00005-3">10.1016/s0021-8502(03)00005-3</a>
  apa: Artelt, C., Schmid, H.-J., &#38; Peukert, W. (2003). On the relevance of accounting
    for the evolution of the fractal dimension in aerosol process simulations. <i>Journal
    of Aerosol Science</i>, <i>34</i>(5), 511–534. <a href="https://doi.org/10.1016/s0021-8502(03)00005-3">https://doi.org/10.1016/s0021-8502(03)00005-3</a>
  bibtex: '@article{Artelt_Schmid_Peukert_2003, title={On the relevance of accounting
    for the evolution of the fractal dimension in aerosol process simulations}, volume={34},
    DOI={<a href="https://doi.org/10.1016/s0021-8502(03)00005-3">10.1016/s0021-8502(03)00005-3</a>},
    number={5}, journal={Journal of Aerosol Science}, author={Artelt, C. and Schmid,
    Hans-Joachim and Peukert, W.}, year={2003}, pages={511–534} }'
  chicago: 'Artelt, C., Hans-Joachim Schmid, and W. Peukert. “On the Relevance of
    Accounting for the Evolution of the Fractal Dimension in Aerosol Process Simulations.”
    <i>Journal of Aerosol Science</i> 34, no. 5 (2003): 511–34. <a href="https://doi.org/10.1016/s0021-8502(03)00005-3">https://doi.org/10.1016/s0021-8502(03)00005-3</a>.'
  ieee: 'C. Artelt, H.-J. Schmid, and W. Peukert, “On the relevance of accounting
    for the evolution of the fractal dimension in aerosol process simulations,” <i>Journal
    of Aerosol Science</i>, vol. 34, no. 5, pp. 511–534, 2003, doi: <a href="https://doi.org/10.1016/s0021-8502(03)00005-3">10.1016/s0021-8502(03)00005-3</a>.'
  mla: Artelt, C., et al. “On the Relevance of Accounting for the Evolution of the
    Fractal Dimension in Aerosol Process Simulations.” <i>Journal of Aerosol Science</i>,
    vol. 34, no. 5, 2003, pp. 511–34, doi:<a href="https://doi.org/10.1016/s0021-8502(03)00005-3">10.1016/s0021-8502(03)00005-3</a>.
  short: C. Artelt, H.-J. Schmid, W. Peukert, Journal of Aerosol Science 34 (2003)
    511–534.
date_created: 2021-10-13T16:24:37Z
date_updated: 2022-01-06T06:57:17Z
doi: 10.1016/s0021-8502(03)00005-3
intvolume: '        34'
issue: '5'
language:
- iso: eng
page: 511-534
publication: Journal of Aerosol Science
publication_identifier:
  issn:
  - 0021-8502
publication_status: published
status: public
title: On the relevance of accounting for the evolution of the fractal dimension in
  aerosol process simulations
type: journal_article
user_id: '70093'
volume: 34
year: '2003'
...