{"id":"https://openalex.org/W2008492004","doi":"https://doi.org/10.1080/10255842.2011.643470","title":"Differential transform semi-numerical analysis of biofluid-particle suspension flow and heat transfer in non-Darcian porous media","display_name":"Differential transform semi-numerical analysis of biofluid-particle suspension flow and heat transfer in non-Darcian porous media","publication_year":2012,"publication_date":"2012-03-07","ids":{"openalex":"https://openalex.org/W2008492004","doi":"https://doi.org/10.1080/10255842.2011.643470","mag":"2008492004","pmid":"https://pubmed.ncbi.nlm.nih.gov/22397641"},"language":"en","primary_location":{"id":"doi:10.1080/10255842.2011.643470","doi":"https://doi.org/10.1080/10255842.2011.643470","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10255842.2011.643470","pdf_url":null,"source":{"id":"https://openalex.org/S72888871","display_name":"Computer Methods in Biomechanics & Biomedical Engineering","issn_l":"1025-5842","issn":["1025-5842","1476-8259"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Biomechanics and Biomedical Engineering","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109609113","display_name":"Tasveer A. B\u00e9g","orcid":"https://orcid.org/0009-0004-1023-8255","observed_orcids":["https://orcid.org/0009-0004-1023-8255"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T.A. B\u00e9g","raw_affiliation_strings":["a Bio-Engineering Mechanics Research , Albert Road, Levenshulme, Manchester , M19 2AB , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a Bio-Engineering Mechanics Research , Albert Road, Levenshulme, Manchester , M19 2AB , UK","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033550883","display_name":"Mohammad Mehdi Rashidi","orcid":"https://orcid.org/0000-0002-6309-8688","observed_orcids":["https://orcid.org/0000-0002-6309-8688"]},"institutions":[{"id":"https://openalex.org/I167694869","display_name":"Bu-Ali Sina University","ror":"https://ror.org/04ka8rx28","country_code":"IR","type":"education","lineage":["https://openalex.org/I167694869"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M.M. Rashidi","raw_affiliation_strings":["Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran","institution_ids":["https://openalex.org/I167694869"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111537132","display_name":"Osman Anwar B\u00e9g","orcid":"https://orcid.org/0000-0001-5925-6711","observed_orcids":["https://orcid.org/0000-0001-5925-6711","https://orcid.org/0000-0003-0614-8711"]},"institutions":[{"id":"https://openalex.org/I71422933","display_name":"Sheffield Hallam University","ror":"https://ror.org/019wt1929","country_code":"GB","type":"education","lineage":["https://openalex.org/I71422933"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"O. Anwar B\u00e9g","raw_affiliation_strings":["Biomechanics and Biotechnology Research, Aerospace Engineering, Department of Engineering and Mathematics, Sheaf Building, Sheffield Hallam University, Sheffield, S1 1WB, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biomechanics and Biotechnology Research, Aerospace Engineering, Department of Engineering and Mathematics, Sheaf Building, Sheffield Hallam University, Sheffield, S1 1WB, UK","institution_ids":["https://openalex.org/I71422933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003597499","display_name":"N. Rahimzadeh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I167694869","display_name":"Bu-Ali Sina University","ror":"https://ror.org/04ka8rx28","country_code":"IR","type":"education","lineage":["https://openalex.org/I167694869"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"N. Rahimzadeh","raw_affiliation_strings":["Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran","institution_ids":["https://openalex.org/I167694869"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111537132"],"corresponding_institution_ids":["https://openalex.org/I71422933"],"apc_list":null,"apc_paid":null,"fwci":1.9411,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.82625864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"16","issue":"8","first_page":"896","last_page":"907"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.8525000214576721,"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/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.8525000214576721,"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/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.05609999969601631,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.029400000348687172,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-transform-method","display_name":"differential transform method","score":0.8920000195503235},{"id":"https://openalex.org/keywords/two-phase-flow","display_name":"two-phase flow","score":0.6330000162124634},{"id":"https://openalex.org/keywords/porous-media","display_name":"porous media","score":0.7490000128746033},{"id":"https://openalex.org/keywords/non-darcy-flow","display_name":"non-Darcy flow","score":0.9430000185966492},{"id":"https://openalex.org/keywords/forchheimer-drag","display_name":"Forchheimer drag","score":0.902999997138977},{"id":"https://openalex.org/keywords/darcy-drag","display_name":"Darcy drag","score":0.890999972820282},{"id":"https://openalex.org/keywords/buoyancy-driven-convection","display_name":"buoyancy-driven convection","score":0.8270000219345093},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"heat transfer","score":0.9190000295639038},{"id":"https://openalex.org/keywords/stokes-number","display_name":"Stokes number","score":0.6600000262260437},{"id":"https://openalex.org/keywords/particle-loading","display_name":"particle loading","score":0.6679999828338623},{"id":"https://openalex.org/keywords/wall-slip","display_name":"wall slip","score":0.9259999990463257},{"id":"https://openalex.org/keywords/pade-approximants","display_name":"Pad\u00e9 approximants","score":0.8349999785423279},{"id":"https://openalex.org/keywords/channel-flow","display_name":"channel flow","score":0.5910000205039978}],"concepts":[{"id":"https://openalex.org/C2779459783","wikidata":"https://www.wikidata.org/wiki/Q16954269","display_name":"Darcy number","level":5,"score":0.6751206517219543},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6730250120162964},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.5063554048538208},{"id":"https://openalex.org/C24692054","wikidata":"https://www.wikidata.org/wiki/Q1545546","display_name":"Stokes number","level":4,"score":0.49895715713500977},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.49711230397224426},{"id":"https://openalex.org/C538625479","wikidata":"https://www.wikidata.org/wiki/Q6497624","display_name":"Buoyancy","level":2,"score":0.4558497667312622},{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.45407283306121826},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.44790124893188477},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.4192081093788147},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4071480929851532},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3676566481590271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3468344211578369},{"id":"https://openalex.org/C130230704","wikidata":"https://www.wikidata.org/wiki/Q898280","display_name":"Nusselt number","level":4,"score":0.3117856979370117},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.1102343499660492},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D001790","descriptor_name":"Blood Physiological Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006358","descriptor_name":"Hot Temperature","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009038","descriptor_name":"Motion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016062","descriptor_name":"Porosity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D055592","descriptor_name":"Biophysical Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1080/10255842.2011.643470","doi":"https://doi.org/10.1080/10255842.2011.643470","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10255842.2011.643470","pdf_url":null,"source":{"id":"https://openalex.org/S72888871","display_name":"Computer Methods in Biomechanics & Biomedical Engineering","issn_l":"1025-5842","issn":["1025-5842","1476-8259"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Biomechanics and Biomedical Engineering","raw_type":"journal-article"},{"id":"pmid:22397641","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22397641","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer methods in biomechanics and biomedical engineering","raw_type":"Journal Article"},{"id":"pmh:oai:RePEc:taf:gcmbxx:v:16:y:2013:i:8:p:896-907","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/10255842.2011.643470","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311614","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W251868614","https://openalex.org/W1965800671","https://openalex.org/W1979005405","https://openalex.org/W1979805962","https://openalex.org/W1984959710","https://openalex.org/W1989382304","https://openalex.org/W1996361831","https://openalex.org/W2002442870","https://openalex.org/W2002538768","https://openalex.org/W2005676385","https://openalex.org/W2007297116","https://openalex.org/W2012365635","https://openalex.org/W2013061631","https://openalex.org/W2013094943","https://openalex.org/W2017072277","https://openalex.org/W2044702366","https://openalex.org/W2052892476","https://openalex.org/W2052940427","https://openalex.org/W2054435913","https://openalex.org/W2059068046","https://openalex.org/W2060844903","https://openalex.org/W2061494021","https://openalex.org/W2068806700","https://openalex.org/W2071530497","https://openalex.org/W2072621704","https://openalex.org/W2077781521","https://openalex.org/W2078340129","https://openalex.org/W2078933900","https://openalex.org/W2083562686","https://openalex.org/W2087847207","https://openalex.org/W2093302209","https://openalex.org/W2104278888","https://openalex.org/W2108904536","https://openalex.org/W2150200866","https://openalex.org/W2150625007","https://openalex.org/W2153995868","https://openalex.org/W2156092026","https://openalex.org/W2171867382","https://openalex.org/W2188076812","https://openalex.org/W2296144491","https://openalex.org/W2314594082","https://openalex.org/W2326909221","https://openalex.org/W4206704947","https://openalex.org/W4247209628"],"related_works":["https://openalex.org/W2055075018","https://openalex.org/W2594465056","https://openalex.org/W1972548644","https://openalex.org/W3117408989","https://openalex.org/W4231294203","https://openalex.org/W4409091422","https://openalex.org/W2146558706","https://openalex.org/W2080666650","https://openalex.org/W7215235049","https://openalex.org/W4392003434"],"abstract_inverted_index":{"The":[0,134,201],"differential":[1,48],"transform":[2],"method":[3,7],"(DTM)":[4],"is":[5,9,36,42,125,139,178],"semi-numerical":[6],"which":[8],"used":[10],"to":[11,44,58,117,180,192],"study":[12],"the":[13,46,67,76,104,128,152],"steady,":[14],"laminar":[15],"buoyancy-driven":[16],"convection":[17],"heat":[18],"transfer":[19],"of":[20,40,78,120],"a":[21,26,29,59,140,157,182],"particulate":[22],"biofluid":[23,199],"suspension":[24],"in":[25,143,160,205],"channel":[27],"containing":[28],"porous":[30],"material.":[31],"A":[32,38],"two-phase":[33],"continuum":[34],"model":[35,202],"used.":[37],"set":[39],"variables":[41],"implemented":[43],"reduce":[45],"ordinary":[47],"equations":[49],"for":[50,66,196],"momentum":[51,79,174],"and":[52,99,108,130,151,156,165,208],"energy":[53],"conservation":[54],"(for":[55],"both":[56],"phases)":[57],"dimensionless":[60,68],"system.":[61],"DTM":[62,129,177],"solutions":[63],"are":[64,114,168],"obtained":[65,126],"system":[69],"under":[70],"appropriate":[71],"boundary":[72,121],"conditions.":[73,122],"We":[74],"examine":[75],"influence":[77],"inverse":[80,173],"Stokes":[81,175],"number":[82,85,88],"(Skm),":[83],"Darcy":[84],"(Da),":[86],"Forchheimer":[87,154],"(Fs),":[89],"particle":[90],"loading":[91],"parameter":[92,97,101],"(pL),":[93],"particle-phase":[94,109,161,166],"wall":[95],"slip":[96],"(\u03a9)":[98],"buoyancy":[100],"(B)":[102],"on":[103],"fluid-phase":[105,144],"velocity":[106,110,162],"(U)":[107],"(Up).":[111],"Pad\u00e9":[112],"approximants":[113],"also":[115,169],"employed":[116],"achieve":[118],"satisfaction":[119],"Excellent":[123],"correlation":[124],"between":[127],"numerical":[131],"quadrature":[132],"solutions.":[133],"results":[135],"indicate":[136],"that":[137],"there":[138],"strong":[141],"decrease":[142],"velocities":[145,167],"with":[146,172,187],"increasing":[147],"Darcian":[148],"(first-order)":[149],"drag":[150],"second-order":[153],"drag,":[155],"weaker":[158],"reduction":[159],"field.":[163],"Fluid":[164],"strongly":[170],"affected":[171],"number.":[176],"shown":[179],"be":[181],"powerful":[183],"tool":[184],"providing":[185],"engineers":[186],"an":[188],"alternative":[189],"simulation":[190],"approach":[191],"other":[193],"traditional":[194],"methods":[195],"multi-phase":[197],"computational":[198],"mechanics.":[200],"finds":[203],"applications":[204],"haemotological":[206],"separation":[207],"biotechnological":[209],"processing.":[210]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}