A continuum model of stresses in a vertical silo with a flow channel in the vicinity of the wall, using the principal stress cap surface approach for the bulk solids

A.J. Matchett, P.A. Langston, D. McGlinchey

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Abstract

Eurocode 1 (2006) gives design equations for eccentric stresses in silos, including flow channels adjacent to the wall. This has been modelled using the approach of Matchett et al. (2015,2016).A three zone model was developed, consisting of:• The flow channel.• The transition zone.• The bulk of the solids. The flow channel and the transition zone were modelled by Janssen-type equations. The bulk was modelled by the principal stress cap approach. The transition zone is a complex region and has several purposes:1. To shelter the low stress flow channel from the high stresses around.2. To allow high principal stresses at the transition/bulk interface, within the yield locus.3. To form a transition between the dynamic flow channel and the static bulk.4. To allow transition from passive stress in the flow channel to active stress in the bulk. The model was calibrated against the data of Chen et al. (2007) for a full-scale silo, and described the data reasonably well, scaling axially and azimuthally. Large experimental data sets are required to calibrate a model. Unfortunate data points cannot be arbitrarily rejected.
Original languageEnglish
Pages (from-to)221-225
Number of pages5
JournalChemical Engineering Research and Design
Volume122
Early online date18 Apr 2017
DOIs
Publication statusPublished - Jun 2017

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Keywords

  • Bulk solids Eccentric silo Yield Stresses Eurocode 1a

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title = "A continuum model of stresses in a vertical silo with a flow channel in the vicinity of the wall, using the principal stress cap surface approach for the bulk solids",
abstract = "Eurocode 1 (2006) gives design equations for eccentric stresses in silos, including flow channels adjacent to the wall. This has been modelled using the approach of Matchett et al. (2015,2016).A three zone model was developed, consisting of:• The flow channel.• The transition zone.• The bulk of the solids. The flow channel and the transition zone were modelled by Janssen-type equations. The bulk was modelled by the principal stress cap approach. The transition zone is a complex region and has several purposes:1. To shelter the low stress flow channel from the high stresses around.2. To allow high principal stresses at the transition/bulk interface, within the yield locus.3. To form a transition between the dynamic flow channel and the static bulk.4. To allow transition from passive stress in the flow channel to active stress in the bulk. The model was calibrated against the data of Chen et al. (2007) for a full-scale silo, and described the data reasonably well, scaling axially and azimuthally. Large experimental data sets are required to calibrate a model. Unfortunate data points cannot be arbitrarily rejected.",
keywords = "Bulk solids Eccentric silo Yield Stresses Eurocode 1a",
author = "A.J. Matchett and P.A. Langston and D. McGlinchey",
note = "Acceptance date from website AAM: 12m embargo",
year = "2017",
month = "6",
doi = "10.1016/j.cherd.2017.04.013",
language = "English",
volume = "122",
pages = "221--225",
journal = "Chemical Engineering Research and Design",
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T1 - A continuum model of stresses in a vertical silo with a flow channel in the vicinity of the wall, using the principal stress cap surface approach for the bulk solids

AU - Matchett, A.J.

AU - Langston, P.A.

AU - McGlinchey, D.

N1 - Acceptance date from website AAM: 12m embargo

PY - 2017/6

Y1 - 2017/6

N2 - Eurocode 1 (2006) gives design equations for eccentric stresses in silos, including flow channels adjacent to the wall. This has been modelled using the approach of Matchett et al. (2015,2016).A three zone model was developed, consisting of:• The flow channel.• The transition zone.• The bulk of the solids. The flow channel and the transition zone were modelled by Janssen-type equations. The bulk was modelled by the principal stress cap approach. The transition zone is a complex region and has several purposes:1. To shelter the low stress flow channel from the high stresses around.2. To allow high principal stresses at the transition/bulk interface, within the yield locus.3. To form a transition between the dynamic flow channel and the static bulk.4. To allow transition from passive stress in the flow channel to active stress in the bulk. The model was calibrated against the data of Chen et al. (2007) for a full-scale silo, and described the data reasonably well, scaling axially and azimuthally. Large experimental data sets are required to calibrate a model. Unfortunate data points cannot be arbitrarily rejected.

AB - Eurocode 1 (2006) gives design equations for eccentric stresses in silos, including flow channels adjacent to the wall. This has been modelled using the approach of Matchett et al. (2015,2016).A three zone model was developed, consisting of:• The flow channel.• The transition zone.• The bulk of the solids. The flow channel and the transition zone were modelled by Janssen-type equations. The bulk was modelled by the principal stress cap approach. The transition zone is a complex region and has several purposes:1. To shelter the low stress flow channel from the high stresses around.2. To allow high principal stresses at the transition/bulk interface, within the yield locus.3. To form a transition between the dynamic flow channel and the static bulk.4. To allow transition from passive stress in the flow channel to active stress in the bulk. The model was calibrated against the data of Chen et al. (2007) for a full-scale silo, and described the data reasonably well, scaling axially and azimuthally. Large experimental data sets are required to calibrate a model. Unfortunate data points cannot be arbitrarily rejected.

KW - Bulk solids Eccentric silo Yield Stresses Eurocode 1a

U2 - 10.1016/j.cherd.2017.04.013

DO - 10.1016/j.cherd.2017.04.013

M3 - Article

VL - 122

SP - 221

EP - 225

JO - Chemical Engineering Research and Design

JF - Chemical Engineering Research and Design

SN - 0263-8762

ER -