{"id":"https://openalex.org/W2935798974","doi":"https://doi.org/10.3390/sym11040541","title":"Hydrodynamical Study of Micropolar Fluid in a Porous-Walled Channel: Application to Flat Plate Dialyzer","display_name":"Hydrodynamical Study of Micropolar Fluid in a Porous-Walled Channel: Application to Flat Plate Dialyzer","publication_year":2019,"publication_date":"2019-04-15","ids":{"openalex":"https://openalex.org/W2935798974","doi":"https://doi.org/10.3390/sym11040541","mag":"2935798974"},"language":"en","primary_location":{"id":"doi:10.3390/sym11040541","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11040541","pdf_url":"https://www.mdpi.com/2073-8994/11/4/541/pdf?version=1555322277","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/4/541/pdf?version=1555322277","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100460375","display_name":"Dianchen Lu","orcid":"https://orcid.org/0000-0001-6896-172X"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dianchen Lu","raw_affiliation_strings":["Faculty of Science, Jiangsu University, Zhenjiang 212013, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Jiangsu University, Zhenjiang 212013, China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008664820","display_name":"Muhammad Kahshan","orcid":"https://orcid.org/0000-0001-6324-3884"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]},{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["CN","PK"],"is_corresponding":true,"raw_author_name":"Muhammad Kahshan","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Abbottabad 22060, Pakistan","Faculty of Science, Jiangsu University, Zhenjiang 212013, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Abbottabad 22060, Pakistan","institution_ids":["https://openalex.org/I16076960"]},{"raw_affiliation_string":"Faculty of Science, Jiangsu University, Zhenjiang 212013, China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043146672","display_name":"A. M. Siddiqui","orcid":"https://orcid.org/0000-0001-9386-2387"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. M. Siddiqui","raw_affiliation_strings":["Department of Mathematics, Pennsylvania State University, YorkCampus, 1031 Edgecomb Avenue, York, PA 17403, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University, YorkCampus, 1031 Edgecomb Avenue, York, PA 17403, USA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008664820"],"corresponding_institution_ids":["https://openalex.org/I115592961","https://openalex.org/I16076960"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":4.0759,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.94982945,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"11","issue":"4","first_page":"541","last_page":"541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pressure-drop","display_name":"Pressure drop","score":0.7372394800186157},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.7352904081344604},{"id":"https://openalex.org/keywords/newtonian-fluid","display_name":"Newtonian fluid","score":0.651067852973938},{"id":"https://openalex.org/keywords/volumetric-flow-rate","display_name":"Volumetric flow rate","score":0.6191171407699585},{"id":"https://openalex.org/keywords/ultrafiltration","display_name":"Ultrafiltration (renal)","score":0.5926392078399658},{"id":"https://openalex.org/keywords/filtration","display_name":"Filtration (mathematics)","score":0.5655637979507446},{"id":"https://openalex.org/keywords/non-newtonian-fluid","display_name":"Non-Newtonian fluid","score":0.5107476711273193},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.49416235089302063},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4583205282688141},{"id":"https://openalex.org/keywords/mass-transfer","display_name":"Mass transfer","score":0.4205598533153534},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.41967326402664185},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.32171428203582764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2977813482284546},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2826418876647949},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.2464655041694641},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.2039797604084015},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06691530346870422}],"concepts":[{"id":"https://openalex.org/C114088122","wikidata":"https://www.wikidata.org/wiki/Q1261069","display_name":"Pressure drop","level":2,"score":0.7372394800186157},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.7352904081344604},{"id":"https://openalex.org/C294558","wikidata":"https://www.wikidata.org/wiki/Q366968","display_name":"Newtonian fluid","level":2,"score":0.651067852973938},{"id":"https://openalex.org/C172120300","wikidata":"https://www.wikidata.org/wiki/Q1134348","display_name":"Volumetric flow rate","level":2,"score":0.6191171407699585},{"id":"https://openalex.org/C50817676","wikidata":"https://www.wikidata.org/wiki/Q7880534","display_name":"Ultrafiltration (renal)","level":2,"score":0.5926392078399658},{"id":"https://openalex.org/C128489963","wikidata":"https://www.wikidata.org/wiki/Q1187724","display_name":"Filtration (mathematics)","level":2,"score":0.5655637979507446},{"id":"https://openalex.org/C84403224","wikidata":"https://www.wikidata.org/wiki/Q860589","display_name":"Non-Newtonian fluid","level":2,"score":0.5107476711273193},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.49416235089302063},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4583205282688141},{"id":"https://openalex.org/C51038369","wikidata":"https://www.wikidata.org/wiki/Q909534","display_name":"Mass transfer","level":2,"score":0.4205598533153534},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.41967326402664185},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.32171428203582764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2977813482284546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2826418876647949},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2464655041694641},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.2039797604084015},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06691530346870422}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym11040541","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11040541","pdf_url":"https://www.mdpi.com/2073-8994/11/4/541/pdf?version=1555322277","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:407ff07d7f96431abb92f5883688e07d","is_oa":true,"landing_page_url":"https://doaj.org/article/407ff07d7f96431abb92f5883688e07d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 11, Iss 4, p 541 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11040541","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11040541","pdf_url":"https://www.mdpi.com/2073-8994/11/4/541/pdf?version=1555322277","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G738814754","display_name":null,"funder_award_id":"2018M63223","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7857413152","display_name":null,"funder_award_id":"2018M632237","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2935798974.pdf","grobid_xml":"https://content.openalex.org/works/W2935798974.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W55935516","https://openalex.org/W1508314167","https://openalex.org/W1554203992","https://openalex.org/W1975110290","https://openalex.org/W1978314488","https://openalex.org/W1979517070","https://openalex.org/W1980855060","https://openalex.org/W2032019839","https://openalex.org/W2041133012","https://openalex.org/W2042850785","https://openalex.org/W2061940095","https://openalex.org/W2068739702","https://openalex.org/W2072971072","https://openalex.org/W2076331845","https://openalex.org/W2084484510","https://openalex.org/W2088696522","https://openalex.org/W2099150268","https://openalex.org/W2120485851","https://openalex.org/W2320139989","https://openalex.org/W2325819607","https://openalex.org/W2408500058","https://openalex.org/W2418013627","https://openalex.org/W2524297116","https://openalex.org/W2607483978","https://openalex.org/W2788777833","https://openalex.org/W2792085957","https://openalex.org/W2906417367","https://openalex.org/W2914914118","https://openalex.org/W2925333831","https://openalex.org/W4242713653","https://openalex.org/W4243116011","https://openalex.org/W4244569911","https://openalex.org/W4252659900","https://openalex.org/W6633311423","https://openalex.org/W6661273393","https://openalex.org/W6669569966","https://openalex.org/W6671811810","https://openalex.org/W6727479177"],"related_works":["https://openalex.org/W2055293444","https://openalex.org/W4377038149","https://openalex.org/W2950491349","https://openalex.org/W2267170039","https://openalex.org/W2119517210","https://openalex.org/W3180443531","https://openalex.org/W2412209297","https://openalex.org/W2315658369","https://openalex.org/W2051136817","https://openalex.org/W134010077"],"abstract_inverted_index":{"This":[0,28,173],"article":[1],"investigates":[2],"the":[3,46,54,61,65,69,73,82,86,96,104,119,136,151,155,160,170,186,200,208],"two-dimensional":[4],"creeping":[5],"flow":[6,156,162,190,213],"of":[7,45,48,53,64,68,85,89,133,149,154,188,194,211],"a":[8,13,25,143,175],"non-Newtonian":[9,66],"micropolar":[10,70],"fluid":[11,71],"in":[12,31,37,92,111,123,164,191,214],"small":[14],"width":[15],"permeable":[16,22],"channel.":[17],"Fluid":[18],"is":[19,50,174,197],"absorbed":[20],"through":[21],"walls":[23],"at":[24],"variable":[26],"rate.":[27],"situation":[29],"arises":[30],"filtration":[32,91],"and":[33,39,57,107,118,139,177],"mass":[34],"transfer":[35],"phenomena":[36],"industrial":[38],"engineering":[40],"processes.":[41],"The":[42,75],"exact":[43],"solution":[44],"equations":[47],"motion":[49],"obtained.":[51],"Graphs":[52],"velocity":[55],"profiles":[56],"pressure":[58,109,121],"drop":[59,110],"reveal":[60],"significant":[62],"impact":[63],"nature":[67],"on":[72],"flow.":[74],"obtained":[76],"solutions":[77],"are":[78,114,126],"used":[79,180,205],"to":[80,206],"discuss":[81],"hydrodynamical":[83,209],"aspects":[84,210],"physiological":[87],"phenomenon":[88],"blood":[90,189,212],"an":[93,112,124,165,215],"artificial":[94],"kidney,":[95],"flat":[97],"plate":[98],"dialyzer":[99],"(FPD).":[100],"Expressions":[101],"for":[102,184],"finding":[103],"ultrafiltration":[105],"rate":[106,117,157,163],"mean":[108,120],"FPD":[113,125,166],"derived.":[115],"Ultrafiltration":[116],"difference":[122],"computed":[127],"using":[128],"derived":[129,152],"expressions.":[130],"A":[131],"comparison":[132],"these":[134],"with":[135],"existing":[137],"empirical":[138],"experimental":[140],"results":[141],"shows":[142],"good":[144],"agreement.":[145],"For":[146],"certain":[147],"values":[148],"parameters,":[150],"form":[153],"reveals":[158],"that":[159,199],"axial":[161],"decays":[167],"exponentially":[168],"along":[169],"membrane":[171],"length.":[172],"well-established":[176],"admitted":[178],"result":[179],"by":[181],"several":[182],"researchers":[183],"studying":[185],"hydrodynamics":[187],"renal":[192],"tubules":[193],"kidneys.":[195],"It":[196],"concluded":[198],"presented":[201],"model":[202],"can":[203],"be":[204],"study":[207],"FPD.":[216]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
