{"id":"https://openalex.org/W1994730961","doi":"https://doi.org/10.3390/e13091595","title":"The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface","display_name":"The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface","publication_year":2011,"publication_date":"2011-09-02","ids":{"openalex":"https://openalex.org/W1994730961","doi":"https://doi.org/10.3390/e13091595","mag":"1994730961"},"language":"en","primary_location":{"id":"doi:10.3390/e13091595","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13091595","pdf_url":"https://www.mdpi.com/1099-4300/13/9/1595/pdf?version=1424784832","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/13/9/1595/pdf?version=1424784832","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109885565","display_name":"Cha\u2019o-Kuang Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Cha\u2019o-Kuang Chen","raw_affiliation_strings":["Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110007670","display_name":"Yue-Tzu Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yue-Tzu Yang","raw_affiliation_strings":["Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"last","author":{"id":null,"display_name":"Kuei-Hao Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Kuei-Hao Chang","raw_affiliation_strings":["Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Taiwan","Researches and Services Headquarters"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Researches and Services Headquarters","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2157,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.56749672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"9","first_page":"1595","last_page":"1610"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9998000264167786,"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/T11945","display_name":"Heat Transfer Mechanisms","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"}}],"keywords":[{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.5652099251747131},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5270792841911316},{"id":"https://openalex.org/keywords/heat-flux","display_name":"Heat flux","score":0.5221245884895325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.467072069644928},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.4640122652053833},{"id":"https://openalex.org/keywords/thermal-radiation","display_name":"Thermal radiation","score":0.43868303298950195},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.4101283550262451},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.37906700372695923},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.33430054783821106},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.3256531357765198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2657824158668518},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2484917938709259},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23632016777992249}],"concepts":[{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.5652099251747131},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5270792841911316},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.5221245884895325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.467072069644928},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.4640122652053833},{"id":"https://openalex.org/C89394759","wikidata":"https://www.wikidata.org/wiki/Q192593","display_name":"Thermal radiation","level":2,"score":0.43868303298950195},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4101283550262451},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.37906700372695923},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33430054783821106},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.3256531357765198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2657824158668518},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2484917938709259},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23632016777992249}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e13091595","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13091595","pdf_url":"https://www.mdpi.com/1099-4300/13/9/1595/pdf?version=1424784832","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0e2ff507532d49a393797bf17b17abac","is_oa":true,"landing_page_url":"https://doaj.org/article/0e2ff507532d49a393797bf17b17abac","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":"Entropy, Vol 13, Iss 9, Pp 1595-1610 (2011)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/13/9/1595/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e13091595","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":"Entropy; Volume 13; Issue 9; Pages: 1595-1610","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e13091595","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13091595","pdf_url":"https://www.mdpi.com/1099-4300/13/9/1595/pdf?version=1424784832","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W1994730961.pdf"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1535856505","https://openalex.org/W1619671437","https://openalex.org/W1656674845","https://openalex.org/W1966561362","https://openalex.org/W1966749370","https://openalex.org/W1967038055","https://openalex.org/W1972243644","https://openalex.org/W1976307951","https://openalex.org/W1976875317","https://openalex.org/W1979107236","https://openalex.org/W1985339950","https://openalex.org/W1988308975","https://openalex.org/W1988437299","https://openalex.org/W1988512607","https://openalex.org/W1990757200","https://openalex.org/W1990772633","https://openalex.org/W1991317857","https://openalex.org/W1992872965","https://openalex.org/W1999282171","https://openalex.org/W1999616808","https://openalex.org/W2002313981","https://openalex.org/W2017761547","https://openalex.org/W2018128857","https://openalex.org/W2028580094","https://openalex.org/W2033411293","https://openalex.org/W2034135372","https://openalex.org/W2042054447","https://openalex.org/W2062253944","https://openalex.org/W2062684283","https://openalex.org/W2067864339","https://openalex.org/W2074845860","https://openalex.org/W2076331845","https://openalex.org/W2087244428","https://openalex.org/W2087613109","https://openalex.org/W2093815528","https://openalex.org/W2095519465","https://openalex.org/W2120509163","https://openalex.org/W2146386826","https://openalex.org/W2148103190","https://openalex.org/W2165013326","https://openalex.org/W2786372830","https://openalex.org/W2891056084","https://openalex.org/W3151211596","https://openalex.org/W6669569966","https://openalex.org/W6998977132"],"related_works":["https://openalex.org/W2051027535","https://openalex.org/W2318814855","https://openalex.org/W2219980803","https://openalex.org/W2382502327","https://openalex.org/W2085851018","https://openalex.org/W2361078583","https://openalex.org/W2564881539","https://openalex.org/W4386773344","https://openalex.org/W2391733060","https://openalex.org/W2942685697"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"the":[3,24,36,68,79,93,102,113,116,121,124,128,134],"effect":[4],"of":[5,58,109,123],"thermal":[6,110],"radiation":[7,25,111],"on":[8,112,127],"micro-polar":[9,59],"fluid":[10,60],"flow":[11],"over":[12],"a":[13,50,62],"wavy":[14,44,63,125],"surface":[15,45,64,126],"is":[16,27,32,75,106],"studied.":[17],"The":[18,43,55],"optically":[19],"thick":[20],"limit":[21],"approximation":[22],"for":[23,101],"flux":[26],"assumed.":[28],"Prandtl\u2019s":[29],"transposition":[30],"theorem":[31],"used":[33],"to":[34,77],"stretch":[35],"ordinary":[37],"coordinate":[38,53],"system":[39],"in":[40,133],"certain":[41],"directions.":[42],"can":[46,88],"be":[47,89],"transferred":[48],"into":[49,82],"calculable":[51],"plane":[52],"system.":[54],"governing":[56,80],"equations":[57,81,85],"along":[61],"are":[65,130],"derived":[66],"from":[67],"complete":[69],"Navier-Stokes":[70],"equations.":[71],"A":[72,98],"simple":[73],"transformation":[74],"proposed":[76],"transform":[78],"boundary":[83],"layer":[84],"so":[86],"they":[87],"solved":[90],"numerically":[91],"by":[92],"cubic":[94],"spline":[95],"collocation":[96],"method.":[97],"modified":[99,135],"form":[100],"entropy":[103,136],"generation":[104,137],"equation":[105],"derived.":[107],"Effects":[108],"temperature":[114],"and":[115,120],"vortex":[117],"viscosity":[118],"parameter":[119],"effects":[122],"velocity":[129],"all":[131],"included":[132],"equation.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}