Mass transfer in packed beds at low Peclet numbers, wrong experiments or wrong interpretations?.

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Abstract

Much research has been focused on mass transfer phenomena in packed beds. For Peclet numbers above 200, empirical relations have been derived that predict the value of the mass transfer coefficient as a function of the Reynolds number and the Schmidt number. These relations are more or less similar to the well-known relation that Ranz and Marshall derived for mass transfer around a single sphere in an infinite medium Sh = ¿ + ßRe¿Sc¿ For packed beds of spherical particles an ¿-value of 3.89 can be calculated on basis of fundamental considerations. However, Sherwood numbers much lower than this minimum value have been observed at Peclet numbers below 100. Several explanations have been proposed for this apparent discrepancy, such as misinterpretation of the experimental results due to unjustified neglection of axial dispersion or wall channeling. In this work, a model that predicts the combined effects of axial dispersion and wall channeling has been developed. With this model, it is possible to explain the results obtained with undiluted beds in which all particles are active in the process of mass transfer. However, such an explanation is not possible for the results obtained with diluted beds in which not all particles are active. Therefore, in the case of diluted beds other reasons for the apparent drop in mass transfer rate must exist. In the present investigation, it is demonstrated that the drop again originates from misinterpretation of the experimental results. It is shown, both experimentally and theoretically, that low Sherwood numbers can be obtained when large differences exist between the local concentration, experienced by an active particle and the mixed cup concentration of the whole bed cross-section.
Original languageUndefined
Pages (from-to)3995-4004
Number of pages10
JournalChemical engineering science
Volume52
Issue number21
DOIs
Publication statusPublished - 1997

Keywords

  • METIS-106400
  • IR-11913

Cite this

@article{78f2151d68374c70bca4e12d15feffa1,
title = "Mass transfer in packed beds at low Peclet numbers, wrong experiments or wrong interpretations?.",
abstract = "Much research has been focused on mass transfer phenomena in packed beds. For Peclet numbers above 200, empirical relations have been derived that predict the value of the mass transfer coefficient as a function of the Reynolds number and the Schmidt number. These relations are more or less similar to the well-known relation that Ranz and Marshall derived for mass transfer around a single sphere in an infinite medium Sh = ¿ + {\ss}Re¿Sc¿ For packed beds of spherical particles an ¿-value of 3.89 can be calculated on basis of fundamental considerations. However, Sherwood numbers much lower than this minimum value have been observed at Peclet numbers below 100. Several explanations have been proposed for this apparent discrepancy, such as misinterpretation of the experimental results due to unjustified neglection of axial dispersion or wall channeling. In this work, a model that predicts the combined effects of axial dispersion and wall channeling has been developed. With this model, it is possible to explain the results obtained with undiluted beds in which all particles are active in the process of mass transfer. However, such an explanation is not possible for the results obtained with diluted beds in which not all particles are active. Therefore, in the case of diluted beds other reasons for the apparent drop in mass transfer rate must exist. In the present investigation, it is demonstrated that the drop again originates from misinterpretation of the experimental results. It is shown, both experimentally and theoretically, that low Sherwood numbers can be obtained when large differences exist between the local concentration, experienced by an active particle and the mixed cup concentration of the whole bed cross-section.",
keywords = "METIS-106400, IR-11913",
author = "G. Rexwinkel and Glenn Rexwinkel and Heesink, {Albertus B.M.} and {van Swaaij}, {Willibrordus Petrus Maria}",
year = "1997",
doi = "10.1016/S0009-2509(97)00242-X",
language = "Undefined",
volume = "52",
pages = "3995--4004",
journal = "Chemical engineering science",
issn = "0009-2509",
publisher = "Elsevier",
number = "21",

}

Mass transfer in packed beds at low Peclet numbers, wrong experiments or wrong interpretations?. / Rexwinkel, G.; Rexwinkel, Glenn; Heesink, Albertus B.M.; van Swaaij, Willibrordus Petrus Maria.

In: Chemical engineering science, Vol. 52, No. 21, 1997, p. 3995-4004.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Mass transfer in packed beds at low Peclet numbers, wrong experiments or wrong interpretations?.

AU - Rexwinkel, G.

AU - Rexwinkel, Glenn

AU - Heesink, Albertus B.M.

AU - van Swaaij, Willibrordus Petrus Maria

PY - 1997

Y1 - 1997

N2 - Much research has been focused on mass transfer phenomena in packed beds. For Peclet numbers above 200, empirical relations have been derived that predict the value of the mass transfer coefficient as a function of the Reynolds number and the Schmidt number. These relations are more or less similar to the well-known relation that Ranz and Marshall derived for mass transfer around a single sphere in an infinite medium Sh = ¿ + ßRe¿Sc¿ For packed beds of spherical particles an ¿-value of 3.89 can be calculated on basis of fundamental considerations. However, Sherwood numbers much lower than this minimum value have been observed at Peclet numbers below 100. Several explanations have been proposed for this apparent discrepancy, such as misinterpretation of the experimental results due to unjustified neglection of axial dispersion or wall channeling. In this work, a model that predicts the combined effects of axial dispersion and wall channeling has been developed. With this model, it is possible to explain the results obtained with undiluted beds in which all particles are active in the process of mass transfer. However, such an explanation is not possible for the results obtained with diluted beds in which not all particles are active. Therefore, in the case of diluted beds other reasons for the apparent drop in mass transfer rate must exist. In the present investigation, it is demonstrated that the drop again originates from misinterpretation of the experimental results. It is shown, both experimentally and theoretically, that low Sherwood numbers can be obtained when large differences exist between the local concentration, experienced by an active particle and the mixed cup concentration of the whole bed cross-section.

AB - Much research has been focused on mass transfer phenomena in packed beds. For Peclet numbers above 200, empirical relations have been derived that predict the value of the mass transfer coefficient as a function of the Reynolds number and the Schmidt number. These relations are more or less similar to the well-known relation that Ranz and Marshall derived for mass transfer around a single sphere in an infinite medium Sh = ¿ + ßRe¿Sc¿ For packed beds of spherical particles an ¿-value of 3.89 can be calculated on basis of fundamental considerations. However, Sherwood numbers much lower than this minimum value have been observed at Peclet numbers below 100. Several explanations have been proposed for this apparent discrepancy, such as misinterpretation of the experimental results due to unjustified neglection of axial dispersion or wall channeling. In this work, a model that predicts the combined effects of axial dispersion and wall channeling has been developed. With this model, it is possible to explain the results obtained with undiluted beds in which all particles are active in the process of mass transfer. However, such an explanation is not possible for the results obtained with diluted beds in which not all particles are active. Therefore, in the case of diluted beds other reasons for the apparent drop in mass transfer rate must exist. In the present investigation, it is demonstrated that the drop again originates from misinterpretation of the experimental results. It is shown, both experimentally and theoretically, that low Sherwood numbers can be obtained when large differences exist between the local concentration, experienced by an active particle and the mixed cup concentration of the whole bed cross-section.

KW - METIS-106400

KW - IR-11913

U2 - 10.1016/S0009-2509(97)00242-X

DO - 10.1016/S0009-2509(97)00242-X

M3 - Article

VL - 52

SP - 3995

EP - 4004

JO - Chemical engineering science

JF - Chemical engineering science

SN - 0009-2509

IS - 21

ER -