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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...
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Published in: | Powder technology 2021-07, Vol.386, p.528-539 |
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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.
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•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 |
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[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> |
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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 |
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