Loading…

Numerical study of cylindrical particles' orientation in narrow packed beds

Narrow packed beds are usually employed when either the removal of heat from highly exothermic chemical reactions or the supply of heat to highly endothermic reactions is necessary. Both cases impose restrictive constrains for the tube diameter to be relatively small, while the need for high gas flo...

Full description

Saved in:
Bibliographic Details
Published in:Powder technology 2021-07, Vol.386, p.528-539
Main Authors: Niegodajew, Paweł, Gruszka, Konrad, Marek, Maciej
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c380t-197319f32c07d11f1d308c23b75e7ff73ffb5adbe9ccf734274b467658dab4243
cites cdi_FETCH-LOGICAL-c380t-197319f32c07d11f1d308c23b75e7ff73ffb5adbe9ccf734274b467658dab4243
container_end_page 539
container_issue
container_start_page 528
container_title Powder technology
container_volume 386
creator Niegodajew, Paweł
Gruszka, Konrad
Marek, Maciej
description Narrow packed beds are usually employed when either the removal of heat from highly exothermic chemical reactions or the supply of heat to highly endothermic reactions is necessary. Both cases impose restrictive constrains for the tube diameter to be relatively small, while the need for high gas flow rates constrain the particle diameter to be fairly large to have a reasonable pressure drop. Packed bed with small tube-to-particle diameter (Dc/Dp) ratios are strongly affected by the so-called wall effect which influences both the porosity and particles' arrangement. So far research on the structure of such packed beds focus mostly on porosity distribution. It is justified when spherical particles are considered, however, for other geometries as, for example, cylindrical particles, information about orientation distribution is of high interest. The research main focus is the study of the orientation of particles dumped randomly into a cylindrical column. The packed structure is simulated with a numerical algorithm in which particles are added sequentially and move until mechanical equilibrium is reached. The present paper is aimed at examining narrow packed beds for a wide range of Dc/Dp ratio from 2 to 7 and for particle height-to-diameter ratio (Hp/Dp) ranging from 0.33 to 2. The results are supplemented with global porosity distributions and reproducibility tests of the packing structures. Selected results are also compared with those obtained for Raschig rings. Orientation distributions of Raschig rings slightly differ from the ones of full cylinders for Hp/Dp ≤ 1. The reproducibility tests indicated that during independent repackings of the container the averaged variability can be even as high as 50% for the narrowest bed investigated. The axial porosity profiles are barely sensitive to the number of particles – its effect is visible only within first ten layers of particles. [Display omitted] •Orientation of particles strongly depends on tube-to-particle diameter ratio.•Quantitative measures of reproducibility examined for a wide range of cases.•Very narrow beds have poorly reproducible particles' orientation characteristics.•Porosity distribution is a well-reproducible characteristic even for narrow beds.
doi_str_mv 10.1016/j.powtec.2021.03.069
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2556033099</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0032591021002692</els_id><sourcerecordid>2556033099</sourcerecordid><originalsourceid>FETCH-LOGICAL-c380t-197319f32c07d11f1d308c23b75e7ff73ffb5adbe9ccf734274b467658dab4243</originalsourceid><addsrcrecordid>eNp9kEtLxDAUhYMoOI7-AxcFF65ab5K2aTeCDL5w0I2Cu5DmAamdpiYZh_n3ZqhrV5d7OedczofQJYYCA65v-mJyu6hlQYDgAmgBdXuEFrhhNKek-TxGCwBK8qrFcIrOQugBoKYYFujldbvR3koxZCFu1T5zJpP7wY5qPk7CRysHHa4z560eo4jWjZkds1F473ZJIL-0yjqtwjk6MWII-uJvLtHHw_376ilfvz0-r-7WuaQNxBy3jOLWUCKBKYwNVhQaSWjHKs2MYdSYrhKq062UaSsJK7uyZnXVKNGVpKRLdDXnTt59b3WIvHdbP6aXnFRVDZRC2yZVOaukdyF4bfjk7Ub4PcfAD9h4z2ds_ICNA-UJW7LdzjadGvxY7XmQqbfUynotI1fO_h_wC_hkeG4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2556033099</pqid></control><display><type>article</type><title>Numerical study of cylindrical particles' orientation in narrow packed beds</title><source>Elsevier</source><creator>Niegodajew, Paweł ; Gruszka, Konrad ; Marek, Maciej</creator><creatorcontrib>Niegodajew, Paweł ; Gruszka, Konrad ; Marek, Maciej</creatorcontrib><description>Narrow packed beds are usually employed when either the removal of heat from highly exothermic chemical reactions or the supply of heat to highly endothermic reactions is necessary. Both cases impose restrictive constrains for the tube diameter to be relatively small, while the need for high gas flow rates constrain the particle diameter to be fairly large to have a reasonable pressure drop. Packed bed with small tube-to-particle diameter (Dc/Dp) ratios are strongly affected by the so-called wall effect which influences both the porosity and particles' arrangement. So far research on the structure of such packed beds focus mostly on porosity distribution. It is justified when spherical particles are considered, however, for other geometries as, for example, cylindrical particles, information about orientation distribution is of high interest. The research main focus is the study of the orientation of particles dumped randomly into a cylindrical column. The packed structure is simulated with a numerical algorithm in which particles are added sequentially and move until mechanical equilibrium is reached. The present paper is aimed at examining narrow packed beds for a wide range of Dc/Dp ratio from 2 to 7 and for particle height-to-diameter ratio (Hp/Dp) ranging from 0.33 to 2. The results are supplemented with global porosity distributions and reproducibility tests of the packing structures. Selected results are also compared with those obtained for Raschig rings. Orientation distributions of Raschig rings slightly differ from the ones of full cylinders for Hp/Dp ≤ 1. The reproducibility tests indicated that during independent repackings of the container the averaged variability can be even as high as 50% for the narrowest bed investigated. The axial porosity profiles are barely sensitive to the number of particles – its effect is visible only within first ten layers of particles. [Display omitted] •Orientation of particles strongly depends on tube-to-particle diameter ratio.•Quantitative measures of reproducibility examined for a wide range of cases.•Very narrow beds have poorly reproducible particles' orientation characteristics.•Porosity distribution is a well-reproducible characteristic even for narrow beds.</description><identifier>ISSN: 0032-5910</identifier><identifier>EISSN: 1873-328X</identifier><identifier>DOI: 10.1016/j.powtec.2021.03.069</identifier><language>eng</language><publisher>Lausanne: Elsevier B.V</publisher><subject>Algorithms ; Chemical reactions ; Column packings ; Columnar structure ; Cylindrical particles ; Endothermic reactions ; Exothermic reactions ; Flow rates ; Flow velocity ; Gas flow ; Numerical analysis ; Orientation ; Packed bed ; Packed beds ; Particle orientation ; Particle size ; Porosity ; Pressure drop ; Reproducibility ; Statistical study</subject><ispartof>Powder technology, 2021-07, Vol.386, p.528-539</ispartof><rights>2021 The Authors</rights><rights>Copyright Elsevier BV Jul 2021</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c380t-197319f32c07d11f1d308c23b75e7ff73ffb5adbe9ccf734274b467658dab4243</citedby><cites>FETCH-LOGICAL-c380t-197319f32c07d11f1d308c23b75e7ff73ffb5adbe9ccf734274b467658dab4243</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Niegodajew, Paweł</creatorcontrib><creatorcontrib>Gruszka, Konrad</creatorcontrib><creatorcontrib>Marek, Maciej</creatorcontrib><title>Numerical study of cylindrical particles' orientation in narrow packed beds</title><title>Powder technology</title><description>Narrow packed beds are usually employed when either the removal of heat from highly exothermic chemical reactions or the supply of heat to highly endothermic reactions is necessary. Both cases impose restrictive constrains for the tube diameter to be relatively small, while the need for high gas flow rates constrain the particle diameter to be fairly large to have a reasonable pressure drop. Packed bed with small tube-to-particle diameter (Dc/Dp) ratios are strongly affected by the so-called wall effect which influences both the porosity and particles' arrangement. So far research on the structure of such packed beds focus mostly on porosity distribution. It is justified when spherical particles are considered, however, for other geometries as, for example, cylindrical particles, information about orientation distribution is of high interest. The research main focus is the study of the orientation of particles dumped randomly into a cylindrical column. The packed structure is simulated with a numerical algorithm in which particles are added sequentially and move until mechanical equilibrium is reached. The present paper is aimed at examining narrow packed beds for a wide range of Dc/Dp ratio from 2 to 7 and for particle height-to-diameter ratio (Hp/Dp) ranging from 0.33 to 2. The results are supplemented with global porosity distributions and reproducibility tests of the packing structures. Selected results are also compared with those obtained for Raschig rings. Orientation distributions of Raschig rings slightly differ from the ones of full cylinders for Hp/Dp ≤ 1. The reproducibility tests indicated that during independent repackings of the container the averaged variability can be even as high as 50% for the narrowest bed investigated. The axial porosity profiles are barely sensitive to the number of particles – its effect is visible only within first ten layers of particles. [Display omitted] •Orientation of particles strongly depends on tube-to-particle diameter ratio.•Quantitative measures of reproducibility examined for a wide range of cases.•Very narrow beds have poorly reproducible particles' orientation characteristics.•Porosity distribution is a well-reproducible characteristic even for narrow beds.</description><subject>Algorithms</subject><subject>Chemical reactions</subject><subject>Column packings</subject><subject>Columnar structure</subject><subject>Cylindrical particles</subject><subject>Endothermic reactions</subject><subject>Exothermic reactions</subject><subject>Flow rates</subject><subject>Flow velocity</subject><subject>Gas flow</subject><subject>Numerical analysis</subject><subject>Orientation</subject><subject>Packed bed</subject><subject>Packed beds</subject><subject>Particle orientation</subject><subject>Particle size</subject><subject>Porosity</subject><subject>Pressure drop</subject><subject>Reproducibility</subject><subject>Statistical study</subject><issn>0032-5910</issn><issn>1873-328X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLxDAUhYMoOI7-AxcFF65ab5K2aTeCDL5w0I2Cu5DmAamdpiYZh_n3ZqhrV5d7OedczofQJYYCA65v-mJyu6hlQYDgAmgBdXuEFrhhNKek-TxGCwBK8qrFcIrOQugBoKYYFujldbvR3koxZCFu1T5zJpP7wY5qPk7CRysHHa4z560eo4jWjZkds1F473ZJIL-0yjqtwjk6MWII-uJvLtHHw_376ilfvz0-r-7WuaQNxBy3jOLWUCKBKYwNVhQaSWjHKs2MYdSYrhKq062UaSsJK7uyZnXVKNGVpKRLdDXnTt59b3WIvHdbP6aXnFRVDZRC2yZVOaukdyF4bfjk7Ub4PcfAD9h4z2ds_ICNA-UJW7LdzjadGvxY7XmQqbfUynotI1fO_h_wC_hkeG4</recordid><startdate>202107</startdate><enddate>202107</enddate><creator>Niegodajew, Paweł</creator><creator>Gruszka, Konrad</creator><creator>Marek, Maciej</creator><general>Elsevier B.V</general><general>Elsevier BV</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7ST</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>JG9</scope><scope>SOI</scope></search><sort><creationdate>202107</creationdate><title>Numerical study of cylindrical particles' orientation in narrow packed beds</title><author>Niegodajew, Paweł ; Gruszka, Konrad ; Marek, Maciej</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-197319f32c07d11f1d308c23b75e7ff73ffb5adbe9ccf734274b467658dab4243</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algorithms</topic><topic>Chemical reactions</topic><topic>Column packings</topic><topic>Columnar structure</topic><topic>Cylindrical particles</topic><topic>Endothermic reactions</topic><topic>Exothermic reactions</topic><topic>Flow rates</topic><topic>Flow velocity</topic><topic>Gas flow</topic><topic>Numerical analysis</topic><topic>Orientation</topic><topic>Packed bed</topic><topic>Packed beds</topic><topic>Particle orientation</topic><topic>Particle size</topic><topic>Porosity</topic><topic>Pressure drop</topic><topic>Reproducibility</topic><topic>Statistical study</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Niegodajew, Paweł</creatorcontrib><creatorcontrib>Gruszka, Konrad</creatorcontrib><creatorcontrib>Marek, Maciej</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Environment Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Materials Research Database</collection><collection>Environment Abstracts</collection><jtitle>Powder technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Niegodajew, Paweł</au><au>Gruszka, Konrad</au><au>Marek, Maciej</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical study of cylindrical particles' orientation in narrow packed beds</atitle><jtitle>Powder technology</jtitle><date>2021-07</date><risdate>2021</risdate><volume>386</volume><spage>528</spage><epage>539</epage><pages>528-539</pages><issn>0032-5910</issn><eissn>1873-328X</eissn><abstract>Narrow packed beds are usually employed when either the removal of heat from highly exothermic chemical reactions or the supply of heat to highly endothermic reactions is necessary. Both cases impose restrictive constrains for the tube diameter to be relatively small, while the need for high gas flow rates constrain the particle diameter to be fairly large to have a reasonable pressure drop. Packed bed with small tube-to-particle diameter (Dc/Dp) ratios are strongly affected by the so-called wall effect which influences both the porosity and particles' arrangement. So far research on the structure of such packed beds focus mostly on porosity distribution. It is justified when spherical particles are considered, however, for other geometries as, for example, cylindrical particles, information about orientation distribution is of high interest. The research main focus is the study of the orientation of particles dumped randomly into a cylindrical column. The packed structure is simulated with a numerical algorithm in which particles are added sequentially and move until mechanical equilibrium is reached. The present paper is aimed at examining narrow packed beds for a wide range of Dc/Dp ratio from 2 to 7 and for particle height-to-diameter ratio (Hp/Dp) ranging from 0.33 to 2. The results are supplemented with global porosity distributions and reproducibility tests of the packing structures. Selected results are also compared with those obtained for Raschig rings. Orientation distributions of Raschig rings slightly differ from the ones of full cylinders for Hp/Dp ≤ 1. The reproducibility tests indicated that during independent repackings of the container the averaged variability can be even as high as 50% for the narrowest bed investigated. The axial porosity profiles are barely sensitive to the number of particles – its effect is visible only within first ten layers of particles. [Display omitted] •Orientation of particles strongly depends on tube-to-particle diameter ratio.•Quantitative measures of reproducibility examined for a wide range of cases.•Very narrow beds have poorly reproducible particles' orientation characteristics.•Porosity distribution is a well-reproducible characteristic even for narrow beds.</abstract><cop>Lausanne</cop><pub>Elsevier B.V</pub><doi>10.1016/j.powtec.2021.03.069</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0032-5910
ispartof Powder technology, 2021-07, Vol.386, p.528-539
issn 0032-5910
1873-328X
language eng
recordid cdi_proquest_journals_2556033099
source Elsevier
subjects Algorithms
Chemical reactions
Column packings
Columnar structure
Cylindrical particles
Endothermic reactions
Exothermic reactions
Flow rates
Flow velocity
Gas flow
Numerical analysis
Orientation
Packed bed
Packed beds
Particle orientation
Particle size
Porosity
Pressure drop
Reproducibility
Statistical study
title Numerical study of cylindrical particles' orientation in narrow packed beds
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T08%3A18%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Numerical%20study%20of%20cylindrical%20particles'%20orientation%20in%20narrow%20packed%20beds&rft.jtitle=Powder%20technology&rft.au=Niegodajew,%20Pawe%C5%82&rft.date=2021-07&rft.volume=386&rft.spage=528&rft.epage=539&rft.pages=528-539&rft.issn=0032-5910&rft.eissn=1873-328X&rft_id=info:doi/10.1016/j.powtec.2021.03.069&rft_dat=%3Cproquest_cross%3E2556033099%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c380t-197319f32c07d11f1d308c23b75e7ff73ffb5adbe9ccf734274b467658dab4243%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2556033099&rft_id=info:pmid/&rfr_iscdi=true