{"id":"https://openalex.org/W3095383833","doi":"https://doi.org/10.1155/2020/8885749","title":"On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow","display_name":"On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow","publication_year":2020,"publication_date":"2020-11-03","ids":{"openalex":"https://openalex.org/W3095383833","doi":"https://doi.org/10.1155/2020/8885749","mag":"3095383833"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8885749","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8885749","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8885749.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/8885749.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046152930","display_name":"Raja Mehmood Khan","orcid":null},"institutions":[{"id":"https://openalex.org/I197827452","display_name":"Institute of Space Technology","ror":"https://ror.org/01tmmzv45","country_code":"PK","type":"education","lineage":["https://openalex.org/I197827452"]},{"id":"https://openalex.org/I29698356","display_name":"HITEC University","ror":"https://ror.org/013d87239","country_code":"PK","type":"education","lineage":["https://openalex.org/I29698356"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Raja Mehmood Khan","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan","Department of Mathematics, HIT Degree College Taxila Cantt, Taxila 47070, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I197827452"]},{"raw_affiliation_string":"Department of Mathematics, HIT Degree College Taxila Cantt, Taxila 47070, Pakistan","institution_ids":["https://openalex.org/I29698356"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004322236","display_name":"Waqas Ashraf","orcid":"https://orcid.org/0000-0002-8660-6032"},"institutions":[{"id":"https://openalex.org/I197827452","display_name":"Institute of Space Technology","ror":"https://ror.org/01tmmzv45","country_code":"PK","type":"education","lineage":["https://openalex.org/I197827452"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Waqas Ashraf","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I197827452"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071832221","display_name":"Muhammad Sohail","orcid":"https://orcid.org/0000-0002-1490-0339"},"institutions":[{"id":"https://openalex.org/I197827452","display_name":"Institute of Space Technology","ror":"https://ror.org/01tmmzv45","country_code":"PK","type":"education","lineage":["https://openalex.org/I197827452"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Sohail","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I197827452"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046106473","display_name":"Shao-Wen Yao","orcid":"https://orcid.org/0000-0002-5280-2975"},"institutions":[{"id":"https://openalex.org/I4210166499","display_name":"Henan Polytechnic University","ror":"https://ror.org/05vr1c885","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166499"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shao-Wen Yao","raw_affiliation_strings":["School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China","institution_ids":["https://openalex.org/I4210166499"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047304015","display_name":"Wael Al\u2010Kouz","orcid":"https://orcid.org/0000-0002-2116-7673"},"institutions":[{"id":"https://openalex.org/I230091363","display_name":"German Jordanian University","ror":"https://ror.org/02jgpyd84","country_code":"JO","type":"education","lineage":["https://openalex.org/I230091363"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Wael Al-Kouz","raw_affiliation_strings":["Mechanical and Maintenance Engineering Department, German Jordanian University, Amman, Jordan"],"affiliations":[{"raw_affiliation_string":"Mechanical and Maintenance Engineering Department, German Jordanian University, Amman, Jordan","institution_ids":["https://openalex.org/I230091363"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5046106473"],"corresponding_institution_ids":["https://openalex.org/I4210166499"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.8709,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.7112097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9991000294685364,"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/T10998","display_name":"Heat Transfer and Optimization","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/slip","display_name":"Slip (aerodynamics)","score":0.8157067894935608},{"id":"https://openalex.org/keywords/magnetohydrodynamic-drive","display_name":"Magnetohydrodynamic drive","score":0.6820583939552307},{"id":"https://openalex.org/keywords/slip-ratio","display_name":"Slip ratio","score":0.6771117448806763},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6553189754486084},{"id":"https://openalex.org/keywords/nusselt-number","display_name":"Nusselt number","score":0.6398144960403442},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.6344190239906311},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5914400219917297},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.5227791666984558},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4740711748600006},{"id":"https://openalex.org/keywords/boundary-layer-thickness","display_name":"Boundary layer thickness","score":0.4380016624927521},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2705754339694977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2699108123779297},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.2506030201911926},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23551234602928162},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2109532356262207},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.1195250153541565},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.10505098104476929},{"id":"https://openalex.org/keywords/shear-stress","display_name":"Shear stress","score":0.09850791096687317},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.07702451944351196}],"concepts":[{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.8157067894935608},{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.6820583939552307},{"id":"https://openalex.org/C139166363","wikidata":"https://www.wikidata.org/wiki/Q7540858","display_name":"Slip ratio","level":3,"score":0.6771117448806763},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6553189754486084},{"id":"https://openalex.org/C130230704","wikidata":"https://www.wikidata.org/wiki/Q898280","display_name":"Nusselt number","level":4,"score":0.6398144960403442},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.6344190239906311},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5914400219917297},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5227791666984558},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4740711748600006},{"id":"https://openalex.org/C151890184","wikidata":"https://www.wikidata.org/wiki/Q1660471","display_name":"Boundary layer thickness","level":3,"score":0.4380016624927521},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2705754339694977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2699108123779297},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.2506030201911926},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23551234602928162},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2109532356262207},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.1195250153541565},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.10505098104476929},{"id":"https://openalex.org/C21141959","wikidata":"https://www.wikidata.org/wiki/Q657936","display_name":"Shear stress","level":2,"score":0.09850791096687317},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.07702451944351196},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/8885749","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8885749","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8885749.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:8885749","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/8885749.xml","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,"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"},{"id":"pmh:oai:doaj.org/article:5823bf1b43a74a43bcec5ffbd094bc9f","is_oa":true,"landing_page_url":"https://doaj.org/article/5823bf1b43a74a43bcec5ffbd094bc9f","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":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/8885749","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8885749","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8885749.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1163657907","display_name":null,"funder_award_id":"20B110006","funder_id":"https://openalex.org/F4320325625","funder_display_name":"Education Department of Henan Province"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G421433705","display_name":null,"funder_award_id":"20B110006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4481394672","display_name":null,"funder_award_id":"71601072","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5350013426","display_name":null,"funder_award_id":"71601072","funder_id":"https://openalex.org/F4320325625","funder_display_name":"Education Department of Henan Province"},{"id":"https://openalex.org/G5797785011","display_name":null,"funder_award_id":"16010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G794676824","display_name":null,"funder_award_id":"7160107","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325625","display_name":"Education Department of Henan Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3095383833.pdf","grobid_xml":"https://content.openalex.org/works/W3095383833.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1974831709","https://openalex.org/W1984715812","https://openalex.org/W1993052044","https://openalex.org/W2011332385","https://openalex.org/W2015735755","https://openalex.org/W2025935743","https://openalex.org/W2039779736","https://openalex.org/W2052764185","https://openalex.org/W2076331845","https://openalex.org/W2089125897","https://openalex.org/W2092139299","https://openalex.org/W2128352844","https://openalex.org/W2159124432","https://openalex.org/W2170228611","https://openalex.org/W2513167830","https://openalex.org/W2581055090","https://openalex.org/W2586350699","https://openalex.org/W2591407953","https://openalex.org/W2604816613","https://openalex.org/W2730542645","https://openalex.org/W2744470422","https://openalex.org/W2910524244","https://openalex.org/W2911279616","https://openalex.org/W2972466478","https://openalex.org/W2973967052","https://openalex.org/W2994550214","https://openalex.org/W3014931682","https://openalex.org/W3023609308","https://openalex.org/W3030510046","https://openalex.org/W3040901254","https://openalex.org/W3047220812","https://openalex.org/W3082133093"],"related_works":["https://openalex.org/W3033258505","https://openalex.org/W1975577234","https://openalex.org/W2994048156","https://openalex.org/W2076864989","https://openalex.org/W4312873346","https://openalex.org/W2059850776","https://openalex.org/W2083655247","https://openalex.org/W3172969850","https://openalex.org/W2314784439","https://openalex.org/W2015295439"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,11,58,67,71,75,83,107,112,131,145,151,160,176],"concept":[4],"of":[5,13,29,38,47,79,109,123,147],"microstructural":[6,80,110,137],"slip":[7,81,138,167,172],"is":[8,24,50,63,98,103,135,164],"introduced":[9],"in":[10,70,106,125,128,144,157,174],"flow":[12,23],"micropolar":[14],"fluids":[15],"pertinent":[16],"to":[17,34,120,130,159],"model":[18],"various":[19],"physical":[20],"situations.":[21],"The":[22,45,61,140],"modeled":[25],"by":[26,40,65],"a":[27,35,121],"set":[28],"PDEs":[30],"which":[31],"are":[32],"transformed":[33],"nonlinear":[36],"system":[37,46],"ODEs":[39],"employing":[41],"boundary":[42,95,115],"layer":[43,96,116,181],"transformations.":[44],"governing":[48],"equations":[49],"implemented":[51],"using":[52],"MATLAB":[53],"bvp4c":[54],"function":[55],"along":[56,90],"with":[57,74,91],"initial-boundary":[59],"conditions.":[60],"code":[62],"validated":[64],"comparing":[66],"computed":[68],"results":[69,141,173],"limiting":[72],"case":[73,132,161],"available":[76],"literature.":[77],"Influence":[78],"on":[82],"skin":[84],"friction":[85],"coefficient":[86],"and":[87,93,100,179],"Nusselt":[88],"number":[89],"hydrodynamic":[92],"thermal":[94],"profiles":[97],"studied":[99],"discussed.":[101],"It":[102],"found":[104],"that,":[105,143],"presence":[108,146],"slip,":[111,150],"microrotational":[113,177],"velocity":[114,178],"thickness":[117],"decreases":[118],"up":[119],"maximum":[122],"37.5%":[124],"its":[126],"value,":[127],"comparison":[129,158],"where":[133,162],"there":[134,163],"no":[136,165],"effect.":[139,168],"predict":[142],"first-order":[148],"translational":[149,166,171],"microrotations":[152],"have":[153],"shown":[154],"counterrotational":[155],"phenomena":[156],"Moreover,":[169],"second-order":[170],"declining":[175],"associated":[180],"thickness.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}