{"id":"https://openalex.org/W2017311806","doi":"https://doi.org/10.1155/2014/256761","title":"MHD Flow of a Viscous Fluid over an Exponentially Stretching Sheet in a Porous Medium","display_name":"MHD Flow of a Viscous Fluid over an Exponentially Stretching Sheet in a Porous Medium","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2017311806","doi":"https://doi.org/10.1155/2014/256761","mag":"2017311806"},"language":"en","primary_location":{"id":"doi:10.1155/2014/256761","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/256761","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/256761.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","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/jam/2014/256761.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101840234","display_name":"Iftikhar Ahmad","orcid":"https://orcid.org/0000-0002-8051-8111"},"institutions":[{"id":"https://openalex.org/I146840658","display_name":"University of Azad Jammu and Kashmir","ror":"https://ror.org/015566d55","country_code":"PK","type":"education","lineage":["https://openalex.org/I146840658"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Iftikhar Ahmad","raw_affiliation_strings":["Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan","institution_ids":["https://openalex.org/I146840658"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113896509","display_name":"Muhmmad Sajid","orcid":null},"institutions":[{"id":"https://openalex.org/I76957882","display_name":"Pakistan Institute of Nuclear Science and Technology","ror":"https://ror.org/04bmzpd39","country_code":"PK","type":"facility","lineage":["https://openalex.org/I76957882"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhmmad Sajid","raw_affiliation_strings":["Theoretical Physics Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Physics Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I76957882"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047893410","display_name":"Wasim Awan","orcid":null},"institutions":[{"id":"https://openalex.org/I146840658","display_name":"University of Azad Jammu and Kashmir","ror":"https://ror.org/015566d55","country_code":"PK","type":"education","lineage":["https://openalex.org/I146840658"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Wasim Awan","raw_affiliation_strings":["Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan","institution_ids":["https://openalex.org/I146840658"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074939034","display_name":"Muhammad Rafique","orcid":"https://orcid.org/0000-0002-5216-9380"},"institutions":[{"id":"https://openalex.org/I146840658","display_name":"University of Azad Jammu and Kashmir","ror":"https://ror.org/015566d55","country_code":"PK","type":"education","lineage":["https://openalex.org/I146840658"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Rafique","raw_affiliation_strings":["Department of Physics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-5216-9380","affiliations":[{"raw_affiliation_string":"Department of Physics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan","institution_ids":["https://openalex.org/I146840658"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048223919","display_name":"Wajid Aziz","orcid":"https://orcid.org/0000-0002-7953-785X"},"institutions":[{"id":"https://openalex.org/I1323252656","display_name":"Information Technology University","ror":"https://ror.org/00ngv8j44","country_code":"PK","type":"education","lineage":["https://openalex.org/I1323252656"]},{"id":"https://openalex.org/I146840658","display_name":"University of Azad Jammu and Kashmir","ror":"https://ror.org/015566d55","country_code":"PK","type":"education","lineage":["https://openalex.org/I146840658"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Wajid Aziz","raw_affiliation_strings":["Department of Computer Sciences and Information Technology, University of Azad Kashmir, Azad Kashmir 13100, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences and Information Technology, University of Azad Kashmir, Azad Kashmir 13100, Pakistan","institution_ids":["https://openalex.org/I1323252656","https://openalex.org/I146840658"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108510853","display_name":"Manzoor Ahmed","orcid":null},"institutions":[{"id":"https://openalex.org/I146840658","display_name":"University of Azad Jammu and Kashmir","ror":"https://ror.org/015566d55","country_code":"PK","type":"education","lineage":["https://openalex.org/I146840658"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Manzoor Ahmed","raw_affiliation_strings":["Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan","institution_ids":["https://openalex.org/I146840658"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101897844","display_name":"A. Abbasi","orcid":"https://orcid.org/0000-0002-1204-2107"},"institutions":[{"id":"https://openalex.org/I146840658","display_name":"University of Azad Jammu and Kashmir","ror":"https://ror.org/015566d55","country_code":"PK","type":"education","lineage":["https://openalex.org/I146840658"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Aamar Abbasi","raw_affiliation_strings":["Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-1204-2107","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan","institution_ids":["https://openalex.org/I146840658"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102011018","display_name":"Moeen Taj","orcid":"https://orcid.org/0000-0002-7845-3857"},"institutions":[{"id":"https://openalex.org/I146840658","display_name":"University of Azad Jammu and Kashmir","ror":"https://ror.org/015566d55","country_code":"PK","type":"education","lineage":["https://openalex.org/I146840658"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Moeen Taj","raw_affiliation_strings":["Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-7845-3857","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Azad Kashmir 13100, Pakistan","institution_ids":["https://openalex.org/I146840658"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101840234"],"corresponding_institution_ids":["https://openalex.org/I146840658"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.9861,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.7394321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"8"},"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/T11945","display_name":"Heat Transfer Mechanisms","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9976000189781189,"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/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.7211101055145264},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.702648401260376},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.6556125283241272},{"id":"https://openalex.org/keywords/magnetohydrodynamic-drive","display_name":"Magnetohydrodynamic drive","score":0.6080909967422485},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5770887732505798},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5762117505073547},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.5644398927688599},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5092012286186218},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4849882125854492},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48008495569229126},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.46672192215919495},{"id":"https://openalex.org/keywords/heat-flux","display_name":"Heat flux","score":0.45873773097991943},{"id":"https://openalex.org/keywords/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.45760536193847656},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.437553346157074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4243290424346924},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3651159405708313},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3398541510105133},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33661147952079773},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2913910746574402},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.284750372171402},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.08515837788581848}],"concepts":[{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.7211101055145264},{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.702648401260376},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.6556125283241272},{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.6080909967422485},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5770887732505798},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5762117505073547},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5644398927688599},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5092012286186218},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4849882125854492},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48008495569229126},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.46672192215919495},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.45873773097991943},{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.45760536193847656},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.437553346157074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4243290424346924},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3651159405708313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3398541510105133},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33661147952079773},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2913910746574402},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.284750372171402},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.08515837788581848},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/256761","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/256761","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/256761.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305720","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305720","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:256761","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/256761.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:fc20947fbdb74be0822bc940073dfb75","is_oa":true,"landing_page_url":"https://doaj.org/article/fc20947fbdb74be0822bc940073dfb75","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/256761","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/256761","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/256761.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.550000011920929,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320894","display_name":"Abdus Salam International Centre for Theoretical Physics","ror":"https://ror.org/009gyvm78"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2017311806.pdf","grobid_xml":"https://content.openalex.org/works/W2017311806.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W259575323","https://openalex.org/W1964997874","https://openalex.org/W1974831709","https://openalex.org/W1976196891","https://openalex.org/W1977874650","https://openalex.org/W1984059911","https://openalex.org/W1989223909","https://openalex.org/W1991197450","https://openalex.org/W1995260666","https://openalex.org/W1997397905","https://openalex.org/W2006258140","https://openalex.org/W2007855375","https://openalex.org/W2020303437","https://openalex.org/W2027312055","https://openalex.org/W2030136289","https://openalex.org/W2037575091","https://openalex.org/W2044093869","https://openalex.org/W2057459456","https://openalex.org/W2084529865","https://openalex.org/W2087734733","https://openalex.org/W2092139299","https://openalex.org/W2095613039","https://openalex.org/W2110973395","https://openalex.org/W2128352847","https://openalex.org/W2133745110","https://openalex.org/W2134560715","https://openalex.org/W2142418682","https://openalex.org/W2157708548","https://openalex.org/W2329424358","https://openalex.org/W4239502261","https://openalex.org/W4255543195"],"related_works":["https://openalex.org/W2873739825","https://openalex.org/W2023910189","https://openalex.org/W2024752839","https://openalex.org/W2038376973","https://openalex.org/W4387907765","https://openalex.org/W2188271783","https://openalex.org/W4312697990","https://openalex.org/W1991484697","https://openalex.org/W2143027225","https://openalex.org/W2185740243"],"abstract_inverted_index":{"Radiation":[0],"effects":[1],"on":[2],"magnetohydrodynamic":[3],"(MHD)":[4],"boundary-layer":[5],"flow":[6,84],"and":[7,48,85],"heat":[8,36,50,86],"transfer":[9,37,87],"characteristic":[10],"through":[11],"a":[12],"porous":[13],"medium":[14],"due":[15],"to":[16,65],"an":[17],"exponentially":[18],"stretching":[19],"sheet":[20],"have":[21],"been":[22],"studied.":[23],"Formulation":[24],"of":[25,57,81,104],"the":[26,31,79,82,102],"problem":[27,88],"is":[28,39,63],"based":[29],"upon":[30],"variable":[32],"thermal":[33],"conductivity.":[34],"The":[35,54,75,96],"analysis":[38,93],"carried":[40],"out":[41],"for":[42,78],"both":[43],"prescribed":[44,49],"surface":[45],"temperature":[46],"(PST)":[47],"flux":[51],"(PHF)":[52],"cases.":[53],"developed":[55],"system":[56],"nonlinear":[58,66],"coupled":[59,67],"partial":[60],"differential":[61,69],"equations":[62,70],"transformed":[64,80,83],"ordinary":[68],"by":[71,91],"using":[72],"similarity":[73],"transformations.":[74],"series":[76],"solutions":[77],"were":[89],"constructed":[90],"homotopy":[92],"method":[94],"(HAM).":[95],"obtained":[97],"results":[98],"are":[99],"analyzed":[100],"under":[101],"influence":[103],"various":[105],"physical":[106],"parameters.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
