{"id":"https://openalex.org/W2039258118","doi":"https://doi.org/10.3390/e15104134","title":"Spectral Entropy, Empirical Entropy and Empirical Exergy for Deterministic Boundary-Layer Structures","display_name":"Spectral Entropy, Empirical Entropy and Empirical Exergy for Deterministic Boundary-Layer Structures","publication_year":2013,"publication_date":"2013-09-27","ids":{"openalex":"https://openalex.org/W2039258118","doi":"https://doi.org/10.3390/e15104134","mag":"2039258118"},"language":"en","primary_location":{"id":"doi:10.3390/e15104134","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15104134","pdf_url":"https://www.mdpi.com/1099-4300/15/10/4134/pdf?version=1424785115","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/1099-4300/15/10/4134/pdf?version=1424785115","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047206060","display_name":"LaVar Isaacson","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"LaVar Isaacson","raw_affiliation_strings":["Mechanical Engineering, University of Utah, 2067 Browning Avenue, Salt Lake City, UT 84108, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering, University of Utah, 2067 Browning Avenue, Salt Lake City, UT 84108, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047206060"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.7626,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.83834817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"10","first_page":"4134","last_page":"4158"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10553","display_name":"Combustion and flame dynamics","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10553","display_name":"Combustion and flame dynamics","score":0.9990000128746033,"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/T10402","display_name":"Phase Equilibria and Thermodynamics","score":0.9952999949455261,"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":0.9919999837875366,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6000720858573914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5874601602554321},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5539342164993286},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.5377886891365051},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.45073145627975464},{"id":"https://openalex.org/keywords/laminar-flow","display_name":"Laminar flow","score":0.4473867416381836},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4409579634666443},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3621059060096741},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.3174337148666382},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2529999911785126}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6000720858573914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5874601602554321},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5539342164993286},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.5377886891365051},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45073145627975464},{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.4473867416381836},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4409579634666443},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3621059060096741},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3174337148666382},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2529999911785126},{"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/e15104134","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15104134","pdf_url":"https://www.mdpi.com/1099-4300/15/10/4134/pdf?version=1424785115","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:CiteSeerX.psu:10.1.1.399.2952","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.399.2952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mdpi.com/1099-4300/15/10/4134/pdf/","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:dab3fb4239a048edbb2edc4ac581cc90","is_oa":true,"landing_page_url":"https://doaj.org/article/dab3fb4239a048edbb2edc4ac581cc90","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 15, Iss 10, Pp 4134-4158 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e15104134","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15104134","pdf_url":"https://www.mdpi.com/1099-4300/15/10/4134/pdf?version=1424785115","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":[{"display_name":"Affordable and clean energy","score":0.8700000047683716,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2039258118.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W221335829","https://openalex.org/W631742916","https://openalex.org/W635494488","https://openalex.org/W1410907832","https://openalex.org/W1469307798","https://openalex.org/W1531885144","https://openalex.org/W1557177617","https://openalex.org/W1582653889","https://openalex.org/W1621175136","https://openalex.org/W1664324849","https://openalex.org/W1977434197","https://openalex.org/W1988109943","https://openalex.org/W1988984796","https://openalex.org/W2034230784","https://openalex.org/W2057242519","https://openalex.org/W2058345474","https://openalex.org/W2061743220","https://openalex.org/W2063173250","https://openalex.org/W2063446030","https://openalex.org/W2070066810","https://openalex.org/W2073630396","https://openalex.org/W2087910288","https://openalex.org/W2498216762","https://openalex.org/W2799484275","https://openalex.org/W3128015498"],"related_works":["https://openalex.org/W1490685668","https://openalex.org/W2323739641","https://openalex.org/W2051337662","https://openalex.org/W2130838166","https://openalex.org/W1548232877","https://openalex.org/W1980244690","https://openalex.org/W59019336","https://openalex.org/W3107446557","https://openalex.org/W9501821","https://openalex.org/W285099923"],"abstract_inverted_index":{"A":[0,182],"modified":[1],"form":[2],"of":[3,31,39,42,52,76,83,90,98,109,123,191,200,212],"the":[4,8,37,50,80,88,99,110,118,124,154,178,185,189,197,201,207,223],"Townsend":[5],"equations":[6,48,69,203],"for":[7,49],"fluctuating":[9,111],"velocity":[10],"wave":[11],"vectors":[12],"is":[13,34,115,215],"applied":[14],"to":[15,35,174,205,216],"a":[16,22,40,58,73],"laminar":[17],"three-dimensional":[18],"boundary-layer":[19,60],"flow":[20,27,93,208],"in":[21,160,196],"methane":[23],"fired":[24],"combustion":[25],"channel":[26,64],"environment.":[28,61,209],"The":[29,68,85,126,210],"objective":[30],"this":[32],"study":[33],"explore":[36],"applicability":[38],"set":[41,82],"low":[43],"dimensional,":[44],"coupled,":[45],"nonlinear":[46,100,198,224],"differential":[47],"prediction":[51],"possible":[53],"deterministic":[54,202],"ordered":[55,220],"structures":[56,142,152,221],"within":[57,117,222],"specific":[59],"Four":[62,147],"increasing":[63,213],"pressures":[65],"are":[66,70,139,149],"considered.":[67],"cast":[71],"into":[72],"Lorenz-type":[74],"system":[75],"equations,":[77],"which":[78],"yields":[79],"low-dimensional":[81],"equations.":[84],"solutions":[86,103],"indicate":[87,104],"presence":[89],"several":[91],"organized":[92],"structures.":[94],"Singular":[95],"value":[96],"decomposition":[97],"time":[101,225],"series":[102,226],"that":[105,134],"nearly":[106],"ninety-eight":[107],"percent":[108],"directed":[112,192],"kinetic":[113,193],"energy":[114,194],"contained":[116],"first":[119,155],"four":[120,136,156],"empirical":[121,127,186],"modes":[122,138],"decomposition.":[125],"entropy":[128,145,161,167,176],"computed":[129],"from":[130],"these":[131,135],"results":[132],"indicates":[133],"lowest":[137],"largely":[140],"coherent":[141],"with":[143],"lower":[144],"rates.":[146],"regions":[148],"observed:":[150],"low-entropy":[151],"over":[153,162,168,177],"modes;":[157,164,170],"steep":[158],"increase":[159,173],"three":[163],"steady,":[165],"high":[166],"seven":[169],"and":[171],"an":[172],"maximum":[175],"last":[179],"two":[180],"modes.":[181],"measure,":[183],"called":[184],"exergy,":[187],"characterizes":[188],"extent":[190],"produced":[195],"solution":[199],"used":[204],"model":[206],"effect":[211],"pressure":[214],"produce":[217],"more":[218],"distinct":[219],"solutions.":[227]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}
