Modeling of the pressure drop across polydisperse packed beds in cake filtration
Filtration is the separation of solid–liquid mixtures. In this study, we assess the predictive power of Kozeny–Carman model for systems operated at low Reynolds numbers and relatively high pressure drops. We find substantial agreement between the K‐C model and experiment only for systems that exhibi...
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| Veröffentlicht in: | AIChE journal 2019-05, Vol.65 (5), p.n/a |
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| creator | Zhang, Siying McCarthy, Joseph J. |
| description | Filtration is the separation of solid–liquid mixtures. In this study, we assess the predictive power of Kozeny–Carman model for systems operated at low Reynolds numbers and relatively high pressure drops. We find substantial agreement between the K‐C model and experiment only for systems that exhibit tight void size distribution. Dramatic disagreement is observed for particle beds that exhibit wide void size distributions. We propose a modified modeling approach, based on a bimodal void distribution, by introducing two quantities: the fraction of expanded voids and the ratio of void sizes. The simulation results are found to be much more similar to the experimental flow rates than those calculated using the K‐C model. The modified model is deemed reliable at predicting the flow behavior, provided that an accurate representation of the void size distribution is available. |
| doi_str_mv | 10.1002/aic.16557 |
| format | Article |
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In this study, we assess the predictive power of Kozeny–Carman model for systems operated at low Reynolds numbers and relatively high pressure drops. We find substantial agreement between the K‐C model and experiment only for systems that exhibit tight void size distribution. Dramatic disagreement is observed for particle beds that exhibit wide void size distributions. We propose a modified modeling approach, based on a bimodal void distribution, by introducing two quantities: the fraction of expanded voids and the ratio of void sizes. The simulation results are found to be much more similar to the experimental flow rates than those calculated using the K‐C model. The modified model is deemed reliable at predicting the flow behavior, provided that an accurate representation of the void size distribution is available.</description><identifier>ISSN: 0001-1541</identifier><identifier>EISSN: 1547-5905</identifier><identifier>DOI: 10.1002/aic.16557</identifier><language>eng</language><publisher>Hoboken, USA: John Wiley & Sons, Inc</publisher><subject>cake filtration ; Computer simulation ; Filtration ; Flow rates ; Flow velocity ; High pressure ; Kozeny–Carman model ; Mathematical models ; Modelling ; Packed beds ; Particle size distribution ; Pressure ; Pressure drop ; Size distribution ; solid/liquid separations ; voids size distribution</subject><ispartof>AIChE journal, 2019-05, Vol.65 (5), p.n/a</ispartof><rights>2019 American Institute of Chemical Engineers</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3347-f42dc08cd3a7258fa5d5bceecb3d61cfe03f53398fbb27bfccd4822c3a15598d3</citedby><cites>FETCH-LOGICAL-c3347-f42dc08cd3a7258fa5d5bceecb3d61cfe03f53398fbb27bfccd4822c3a15598d3</cites><orcidid>0000-0003-4070-9519 ; 0000-0002-2841-3128</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Faic.16557$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Faic.16557$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Zhang, Siying</creatorcontrib><creatorcontrib>McCarthy, Joseph J.</creatorcontrib><title>Modeling of the pressure drop across polydisperse packed beds in cake filtration</title><title>AIChE journal</title><description>Filtration is the separation of solid–liquid mixtures. In this study, we assess the predictive power of Kozeny–Carman model for systems operated at low Reynolds numbers and relatively high pressure drops. We find substantial agreement between the K‐C model and experiment only for systems that exhibit tight void size distribution. Dramatic disagreement is observed for particle beds that exhibit wide void size distributions. We propose a modified modeling approach, based on a bimodal void distribution, by introducing two quantities: the fraction of expanded voids and the ratio of void sizes. The simulation results are found to be much more similar to the experimental flow rates than those calculated using the K‐C model. The modified model is deemed reliable at predicting the flow behavior, provided that an accurate representation of the void size distribution is available.</description><subject>cake filtration</subject><subject>Computer simulation</subject><subject>Filtration</subject><subject>Flow rates</subject><subject>Flow velocity</subject><subject>High pressure</subject><subject>Kozeny–Carman model</subject><subject>Mathematical models</subject><subject>Modelling</subject><subject>Packed beds</subject><subject>Particle size distribution</subject><subject>Pressure</subject><subject>Pressure drop</subject><subject>Size distribution</subject><subject>solid/liquid separations</subject><subject>voids size distribution</subject><issn>0001-1541</issn><issn>1547-5905</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kEtPAyEQgInRxFo9-A9IPHnYlkcp9Ng0PprU6EHPhIVBaddlhW1M_73Y9eppMpNvXh9C15RMKCFsaoKd0LkQ8gSNqJjJSiyIOEUjQgitSoGeo4uctyVjUrERenmKDprQvuPocf8BuEuQ8z4Bdil22NgUc8ZdbA4u5A5SLoSxO3C4BpdxaLE1O8A-NH0yfYjtJTrzpslw9RfH6O3-7nX1WG2eH9ar5aaynJez_Iw5S5R13EgmlDfCidoC2Jq7ObUeCPeC84Xydc1k7a11M8WY5YYKsVCOj9HNMLdL8WsPudfbuE9tWakZI0wxLuW8ULcDdfwjgdddCp8mHTQl-leYLsL0UVhhpwP7HRo4_A_q5Xo1dPwAK79tiA</recordid><startdate>201905</startdate><enddate>201905</enddate><creator>Zhang, Siying</creator><creator>McCarthy, Joseph J.</creator><general>John Wiley & Sons, Inc</general><general>American Institute of Chemical Engineers</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7ST</scope><scope>7U5</scope><scope>8FD</scope><scope>C1K</scope><scope>L7M</scope><scope>SOI</scope><orcidid>https://orcid.org/0000-0003-4070-9519</orcidid><orcidid>https://orcid.org/0000-0002-2841-3128</orcidid></search><sort><creationdate>201905</creationdate><title>Modeling of the pressure drop across polydisperse packed beds in cake filtration</title><author>Zhang, Siying ; McCarthy, Joseph J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3347-f42dc08cd3a7258fa5d5bceecb3d61cfe03f53398fbb27bfccd4822c3a15598d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>cake filtration</topic><topic>Computer simulation</topic><topic>Filtration</topic><topic>Flow rates</topic><topic>Flow velocity</topic><topic>High pressure</topic><topic>Kozeny–Carman model</topic><topic>Mathematical models</topic><topic>Modelling</topic><topic>Packed beds</topic><topic>Particle size distribution</topic><topic>Pressure</topic><topic>Pressure drop</topic><topic>Size distribution</topic><topic>solid/liquid separations</topic><topic>voids size distribution</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Siying</creatorcontrib><creatorcontrib>McCarthy, Joseph J.</creatorcontrib><collection>CrossRef</collection><collection>Environment Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Environment Abstracts</collection><jtitle>AIChE journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Siying</au><au>McCarthy, Joseph J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modeling of the pressure drop across polydisperse packed beds in cake filtration</atitle><jtitle>AIChE journal</jtitle><date>2019-05</date><risdate>2019</risdate><volume>65</volume><issue>5</issue><epage>n/a</epage><issn>0001-1541</issn><eissn>1547-5905</eissn><abstract>Filtration is the separation of solid–liquid mixtures. In this study, we assess the predictive power of Kozeny–Carman model for systems operated at low Reynolds numbers and relatively high pressure drops. We find substantial agreement between the K‐C model and experiment only for systems that exhibit tight void size distribution. Dramatic disagreement is observed for particle beds that exhibit wide void size distributions. We propose a modified modeling approach, based on a bimodal void distribution, by introducing two quantities: the fraction of expanded voids and the ratio of void sizes. The simulation results are found to be much more similar to the experimental flow rates than those calculated using the K‐C model. The modified model is deemed reliable at predicting the flow behavior, provided that an accurate representation of the void size distribution is available.</abstract><cop>Hoboken, USA</cop><pub>John Wiley & Sons, Inc</pub><doi>10.1002/aic.16557</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0003-4070-9519</orcidid><orcidid>https://orcid.org/0000-0002-2841-3128</orcidid></addata></record> |
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| language | eng |
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| source | Access via Wiley Online Library |
| subjects | cake filtration Computer simulation Filtration Flow rates Flow velocity High pressure Kozeny–Carman model Mathematical models Modelling Packed beds Particle size distribution Pressure Pressure drop Size distribution solid/liquid separations voids size distribution |
| title | Modeling of the pressure drop across polydisperse packed beds in cake filtration |
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