{"id":"https://openalex.org/W2107447713","doi":"https://doi.org/10.3390/e14010001","title":"Entropy Generation Analysis of Open Parallel Microchannels Embedded Within a Permeable Continuous Moving Surface: Application to Magnetohydrodynamics (MHD)","display_name":"Entropy Generation Analysis of Open Parallel Microchannels Embedded Within a Permeable Continuous Moving Surface: Application to Magnetohydrodynamics (MHD)","publication_year":2011,"publication_date":"2011-12-27","ids":{"openalex":"https://openalex.org/W2107447713","doi":"https://doi.org/10.3390/e14010001","mag":"2107447713"},"language":"en","primary_location":{"id":"doi:10.3390/e14010001","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14010001","pdf_url":"https://www.mdpi.com/1099-4300/14/1/1/pdf?version=1424784842","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/1099-4300/14/1/1/pdf?version=1424784842","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102842595","display_name":"Mohammad Hossein Yazdi","orcid":null},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Mohammad H. Yazdi","raw_affiliation_strings":["Department of Mechanical and Materials Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia","Solar Energy Research Institute (SERI), Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Materials Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]},{"raw_affiliation_string":"Solar Energy Research Institute (SERI), Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105517869","display_name":"Shahrir Abdullah","orcid":"https://orcid.org/0000-0001-6727-3693"},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Shahrir Abdullah","raw_affiliation_strings":["Department of Mechanical and Materials Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Materials Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049271409","display_name":"Ishak Hashim","orcid":"https://orcid.org/0000-0003-4237-7140"},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Ishak Hashim","raw_affiliation_strings":["School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048409881","display_name":"Kamaruzzaman Sopian","orcid":"https://orcid.org/0000-0002-4675-3927"},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Kamaruzzaman Sopian","raw_affiliation_strings":["Solar Energy Research Institute (SERI), Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Solar Energy Research Institute (SERI), Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102842595"],"corresponding_institution_ids":["https://openalex.org/I885383172"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.5481,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.84929135,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"14","issue":"1","first_page":"1","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998000264167786,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.8013933897018433},{"id":"https://openalex.org/keywords/bejan-number","display_name":"Bejan number","score":0.7620021104812622},{"id":"https://openalex.org/keywords/magnetohydrodynamic-drive","display_name":"Magnetohydrodynamic drive","score":0.7509394884109497},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6417076587677002},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5526156425476074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.519684374332428},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3586103320121765},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3550034761428833},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.3067833185195923},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.29917699098587036},{"id":"https://openalex.org/keywords/nusselt-number","display_name":"Nusselt number","score":0.1738189160823822}],"concepts":[{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.8013933897018433},{"id":"https://openalex.org/C181587685","wikidata":"https://www.wikidata.org/wiki/Q3110607","display_name":"Bejan number","level":5,"score":0.7620021104812622},{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.7509394884109497},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6417076587677002},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5526156425476074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.519684374332428},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3586103320121765},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3550034761428833},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3067833185195923},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.29917699098587036},{"id":"https://openalex.org/C130230704","wikidata":"https://www.wikidata.org/wiki/Q898280","display_name":"Nusselt number","level":4,"score":0.1738189160823822},{"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/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.0},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e14010001","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14010001","pdf_url":"https://www.mdpi.com/1099-4300/14/1/1/pdf?version=1424784842","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:77c9b2f9c34947a5befda38ab32e85f8","is_oa":true,"landing_page_url":"https://doaj.org/article/77c9b2f9c34947a5befda38ab32e85f8","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 14, Iss 1, Pp 1-23 (2011)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/14/1/1/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e14010001","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 14; Issue 1; Pages: 1-23","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e14010001","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14010001","pdf_url":"https://www.mdpi.com/1099-4300/14/1/1/pdf?version=1424784842","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":0.8700000047683716,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321709","display_name":"Ministry of Higher Education, Malaysia","ror":"https://ror.org/05mcs2t73"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2107447713.pdf"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W31283453","https://openalex.org/W132500663","https://openalex.org/W178041083","https://openalex.org/W187208482","https://openalex.org/W586922167","https://openalex.org/W597707195","https://openalex.org/W1508336824","https://openalex.org/W1963514744","https://openalex.org/W1964148794","https://openalex.org/W1966640740","https://openalex.org/W1967035903","https://openalex.org/W1971504896","https://openalex.org/W1976875317","https://openalex.org/W1982517531","https://openalex.org/W1985498513","https://openalex.org/W1990601679","https://openalex.org/W2003335459","https://openalex.org/W2005705329","https://openalex.org/W2008024878","https://openalex.org/W2013635413","https://openalex.org/W2026087730","https://openalex.org/W2028544721","https://openalex.org/W2031594902","https://openalex.org/W2035166989","https://openalex.org/W2042054447","https://openalex.org/W2044714152","https://openalex.org/W2047498131","https://openalex.org/W2050194334","https://openalex.org/W2055456636","https://openalex.org/W2058176826","https://openalex.org/W2060323835","https://openalex.org/W2069657996","https://openalex.org/W2078298270","https://openalex.org/W2089030462","https://openalex.org/W2089178563","https://openalex.org/W2093649475","https://openalex.org/W2099353425","https://openalex.org/W2110721687","https://openalex.org/W2122738761","https://openalex.org/W2127251708","https://openalex.org/W2137547980","https://openalex.org/W2142006144","https://openalex.org/W2145630262","https://openalex.org/W2151447158","https://openalex.org/W2157692042","https://openalex.org/W2592215354","https://openalex.org/W2618481808","https://openalex.org/W2950493227","https://openalex.org/W3018784775","https://openalex.org/W3100182563","https://openalex.org/W3144675605","https://openalex.org/W4248431170","https://openalex.org/W4285719527","https://openalex.org/W6733660064"],"related_works":["https://openalex.org/W2386528229","https://openalex.org/W2945466855","https://openalex.org/W1987342510","https://openalex.org/W1999496811","https://openalex.org/W2040406818","https://openalex.org/W4239794209","https://openalex.org/W2040610989","https://openalex.org/W2035964771","https://openalex.org/W2093307191","https://openalex.org/W2013361162"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,12,28],"new":[4],"design":[5],"of":[6,20,42,46,52,60,124,128],"open":[7],"parallel":[8],"microchannels":[9,61],"embedded":[10],"within":[11],"permeable":[13],"continuous":[14],"moving":[15],"surface":[16,30,54],"due":[17],"to":[18,81],"reduction":[19],"exergy":[21],"losses":[22],"in":[23,136],"magnetohydrodynamic":[24],"(MHD)":[25],"flow":[26],"at":[27],"prescribed":[29],"temperature":[31,78],"(PST).":[32],"The":[33,69,111],"entropy":[34,47,112],"generation":[35,48,113],"number":[36,59],"is":[37],"formulated":[38],"by":[39,98],"an":[40,57,99],"integral":[41],"the":[43,50,53,71,73,77,82,91,105,118,125,129],"local":[44],"rate":[45],"along":[49],"width":[51],"based":[55],"on":[56],"equal":[58],"and":[62,76,93,108,134],"no-slip":[63],"gaps":[64],"interspersed":[65],"between":[66],"those":[67],"microchannels.":[68],"velocity,":[70],"temperature,":[72],"velocity":[74],"gradient":[75,79],"adjacent":[80],"wall":[83],"are":[84,131],"substituted":[85],"into":[86],"this":[87],"equation":[88],"resulting":[89],"from":[90],"momentum":[92],"energy":[94],"equations":[95],"obtained":[96],"numerically":[97],"explicit":[100],"Runge-Kutta":[101],"(4,":[102],"5)":[103],"formula,":[104],"Dormand-Prince":[106],"pair":[107],"shooting":[109],"method.":[110],"number,":[114,120],"as":[115,117],"well":[116],"Bejan":[119],"for":[121],"various":[122],"values":[123],"involved":[126],"parameters":[127],"problem":[130],"also":[132],"presented":[133],"discussed":[135],"detail.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2016-06-24T00:00:00"}
