{"id":"https://openalex.org/W4379471813","doi":"https://doi.org/10.3390/sym15061204","title":"Iterative Solutions for the Nonlinear Heat Transfer Equation of a Convective-Radiative Annular Fin with Power Law Temperature-Dependent Thermal Properties","display_name":"Iterative Solutions for the Nonlinear Heat Transfer Equation of a Convective-Radiative Annular Fin with Power Law Temperature-Dependent Thermal Properties","publication_year":2023,"publication_date":"2023-06-04","ids":{"openalex":"https://openalex.org/W4379471813","doi":"https://doi.org/10.3390/sym15061204"},"language":"en","primary_location":{"id":"doi:10.3390/sym15061204","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15061204","pdf_url":"https://www.mdpi.com/2073-8994/15/6/1204/pdf?version=1686274638","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/2073-8994/15/6/1204/pdf?version=1686274638","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028005453","display_name":"R. S. Varun Kumar","orcid":"https://orcid.org/0000-0003-1107-7743"},"institutions":[{"id":"https://openalex.org/I81556334","display_name":"Amrita Vishwa Vidyapeetham","ror":"https://ror.org/03am10p12","country_code":"IN","type":"education","lineage":["https://openalex.org/I81556334"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. S. Varun Kumar","raw_affiliation_strings":["Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Bengaluru 560035, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Bengaluru 560035, India","institution_ids":["https://openalex.org/I81556334"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028958676","display_name":"Ioannis E. Sarris","orcid":"https://orcid.org/0000-0002-6542-0490"},"institutions":[{"id":"https://openalex.org/I4210094138","display_name":"University of West Attica","ror":"https://ror.org/00r2r5k05","country_code":"GR","type":"education","lineage":["https://openalex.org/I4210094138"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Ioannis E. Sarris","raw_affiliation_strings":["Department of Mechanical Engineering, University of West Attica, 12244 Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of West Attica, 12244 Athens, Greece","institution_ids":["https://openalex.org/I4210094138"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078456453","display_name":"G. Sowmya","orcid":null},"institutions":[{"id":"https://openalex.org/I302410947","display_name":"M S Ramaiah University of Applied Sciences","ror":"https://ror.org/02anh8x74","country_code":"IN","type":"education","lineage":["https://openalex.org/I302410947"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"G. Sowmya","raw_affiliation_strings":["Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore 560054, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore 560054, India","institution_ids":["https://openalex.org/I302410947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011043087","display_name":"Amal Abdulrahman","orcid":"https://orcid.org/0009-0007-1209-1084"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Amal Abdulrahman","raw_affiliation_strings":["Department of Chemistry, College of Science, King Khalid University, Abha 61421, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Chemistry, College of Science, King Khalid University, Abha 61421, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028958676"],"corresponding_institution_ids":["https://openalex.org/I4210094138"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.2312,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.86748024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"15","issue":"6","first_page":"1204","last_page":"1204"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9997000098228455,"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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9994000196456909,"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":0.9975000023841858,"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/radiative-transfer","display_name":"Radiative transfer","score":0.5844886898994446},{"id":"https://openalex.org/keywords/fin","display_name":"Fin","score":0.5412535071372986},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.5377583503723145},{"id":"https://openalex.org/keywords/thermal-conductivity","display_name":"Thermal conductivity","score":0.5334340333938599},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5258626937866211},{"id":"https://openalex.org/keywords/heat-transfer-coefficient","display_name":"Heat transfer coefficient","score":0.47991976141929626},{"id":"https://openalex.org/keywords/thermal-radiation","display_name":"Thermal radiation","score":0.479361355304718},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4638758897781372},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.46195343136787415},{"id":"https://openalex.org/keywords/dimensionless-quantity","display_name":"Dimensionless quantity","score":0.45348307490348816},{"id":"https://openalex.org/keywords/convective-heat-transfer","display_name":"Convective heat transfer","score":0.423796147108078},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4181939959526062},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4093736708164215},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.34879350662231445},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11752080917358398}],"concepts":[{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.5844886898994446},{"id":"https://openalex.org/C91721477","wikidata":"https://www.wikidata.org/wiki/Q778612","display_name":"Fin","level":2,"score":0.5412535071372986},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.5377583503723145},{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.5334340333938599},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5258626937866211},{"id":"https://openalex.org/C29700514","wikidata":"https://www.wikidata.org/wiki/Q634340","display_name":"Heat transfer coefficient","level":3,"score":0.47991976141929626},{"id":"https://openalex.org/C89394759","wikidata":"https://www.wikidata.org/wiki/Q192593","display_name":"Thermal radiation","level":2,"score":0.479361355304718},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4638758897781372},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.46195343136787415},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.45348307490348816},{"id":"https://openalex.org/C41231900","wikidata":"https://www.wikidata.org/wiki/Q918227","display_name":"Convective heat transfer","level":3,"score":0.423796147108078},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4181939959526062},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4093736708164215},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.34879350662231445},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11752080917358398},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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:10.3390/sym15061204","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15061204","pdf_url":"https://www.mdpi.com/2073-8994/15/6/1204/pdf?version=1686274638","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:eeb83e83d88842cdb0b54760dba24946","is_oa":true,"landing_page_url":"https://doaj.org/article/eeb83e83d88842cdb0b54760dba24946","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 6, p 1204 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/6/1204/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15061204","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15061204","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15061204","pdf_url":"https://www.mdpi.com/2073-8994/15/6/1204/pdf?version=1686274638","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4379471813.pdf"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1940474136","https://openalex.org/W1986704623","https://openalex.org/W2007442854","https://openalex.org/W2039448722","https://openalex.org/W2124544980","https://openalex.org/W2145593919","https://openalex.org/W2227396474","https://openalex.org/W2228821758","https://openalex.org/W2237205083","https://openalex.org/W2278023565","https://openalex.org/W2314948226","https://openalex.org/W2328626689","https://openalex.org/W2553162040","https://openalex.org/W2591528858","https://openalex.org/W2893499713","https://openalex.org/W2980614968","https://openalex.org/W3112460933","https://openalex.org/W3119696561","https://openalex.org/W3123981949","https://openalex.org/W3138128202","https://openalex.org/W3171752753","https://openalex.org/W3201569130","https://openalex.org/W3204000833","https://openalex.org/W4205408781","https://openalex.org/W4210465813","https://openalex.org/W4210632496","https://openalex.org/W4210644776","https://openalex.org/W4210829617","https://openalex.org/W4212827630","https://openalex.org/W4214745092","https://openalex.org/W4220742605","https://openalex.org/W4223618311","https://openalex.org/W4225414472","https://openalex.org/W4229379014","https://openalex.org/W4256717149","https://openalex.org/W4281974735","https://openalex.org/W4308158275","https://openalex.org/W4318065389"],"related_works":["https://openalex.org/W2496409068","https://openalex.org/W2081453499","https://openalex.org/W2043355963","https://openalex.org/W2789943828","https://openalex.org/W1974052318","https://openalex.org/W2083225816","https://openalex.org/W2381027569","https://openalex.org/W3087079950","https://openalex.org/W2379322140","https://openalex.org/W166624475"],"abstract_inverted_index":{"The":[0,20,37,54,75,106],"temperature":[1,43,97,114],"distribution":[2,115],"in":[3,16,133],"a":[4,65],"conductive-radiative":[5],"rectangular":[6],"profiled":[7],"annular":[8],"fin":[9],"with":[10,71,81,104,118,130],"internal":[11],"heat":[12,27,123],"generation":[13,124],"is":[14,35,45,78,102],"scrutinized":[15],"the":[17,32,41,48,57,82,85,90,96,110,122,134,137],"present":[18],"investigation.":[19],"nonlinear":[21,66],"variation":[22],"of":[23,56,84,92,109,121,136],"thermal":[24,93,100],"conductivity":[25],"and":[26,99,139],"transfer":[28],"coefficient":[29],"governed":[30],"by":[31],"power":[33],"law":[34],"considered.":[36],"analytical":[38],"approximation":[39],"for":[40],"non-dimensional":[42],"profile":[44],"obtained":[46],"using":[47,61],"differential":[49,68],"transform":[50],"method":[51],"(DTM)-Pade":[52],"approximant.":[53],"nondimensionalization":[55],"governing":[58],"energy":[59],"equation":[60,69],"dimensionless":[62],"terms":[63],"yields":[64],"ordinary":[67],"(ODE)":[70],"corresponding":[72],"boundary":[73],"conditions.":[74],"resulting":[76],"ODE":[77],"analytically":[79],"solved":[80],"assistance":[83],"DTM-Pade":[86],"approximant":[87],"procedure.":[88],"Furthermore,":[89],"impact":[91],"parameters":[94],"on":[95],"field":[98],"stress":[101],"elaborated":[103],"graphs.":[105],"important":[107],"results":[108],"report":[111],"divulge":[112],"that":[113],"greatly":[116],"enhances":[117],"an":[119,131],"augmentation":[120],"parameter,":[125],"but":[126],"it":[127],"gradually":[128],"reduces":[129],"increment":[132],"magnitude":[135],"thermogeometric":[138],"radiative-conductive":[140],"parameter.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":4}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
