{"id":"https://openalex.org/W1977434197","doi":"https://doi.org/10.3390/e13020402","title":"Deterministic Prediction of the Entropy Increase in a Sudden Expansion","display_name":"Deterministic Prediction of the Entropy Increase in a Sudden Expansion","publication_year":2011,"publication_date":"2011-01-31","ids":{"openalex":"https://openalex.org/W1977434197","doi":"https://doi.org/10.3390/e13020402","mag":"1977434197"},"language":"en","primary_location":{"id":"doi:10.3390/e13020402","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13020402","pdf_url":"https://www.mdpi.com/1099-4300/13/2/402/pdf?version=1424784806","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/1099-4300/13/2/402/pdf?version=1424784806","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"]},{"id":"https://openalex.org/I4210117215","display_name":"Cosmetics Europe","ror":"https://ror.org/02errzw26","country_code":"BE","type":"other","lineage":["https://openalex.org/I4210117215"]}],"countries":["BE","US"],"is_corresponding":true,"raw_author_name":"LaVar King Isaacson","raw_affiliation_strings":["Professor Emeritus of Mechanical Engineering, University of Utah, 2067 Browning Avenue, Salt Lake City, UT 84108, USA","MAC Cosmetics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Professor Emeritus of Mechanical Engineering, University of Utah, 2067 Browning Avenue, Salt Lake City, UT 84108, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"MAC Cosmetics","institution_ids":["https://openalex.org/I4210117215"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047206060"],"corresponding_institution_ids":["https://openalex.org/I223532165","https://openalex.org/I4210117215"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.7603,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8324486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":"2","first_page":"402","last_page":"421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9933000206947327,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9933000206947327,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9767000079154968,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9695000052452087,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6591367125511169},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6334629654884338},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45390358567237854},{"id":"https://openalex.org/keywords/transfer-entropy","display_name":"Transfer entropy","score":0.4419999420642853},{"id":"https://openalex.org/keywords/residual-entropy","display_name":"Residual entropy","score":0.4378195106983185},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3475317358970642},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.32390597462654114},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31414592266082764},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.29026854038238525},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18208494782447815},{"id":"https://openalex.org/keywords/configuration-entropy","display_name":"Configuration entropy","score":0.1714468002319336}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6591367125511169},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6334629654884338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45390358567237854},{"id":"https://openalex.org/C182049051","wikidata":"https://www.wikidata.org/wiki/Q17147155","display_name":"Transfer entropy","level":3,"score":0.4419999420642853},{"id":"https://openalex.org/C97785096","wikidata":"https://www.wikidata.org/wiki/Q771478","display_name":"Residual entropy","level":3,"score":0.4378195106983185},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3475317358970642},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.32390597462654114},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31414592266082764},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.29026854038238525},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18208494782447815},{"id":"https://openalex.org/C124589349","wikidata":"https://www.wikidata.org/wiki/Q3726376","display_name":"Configuration entropy","level":2,"score":0.1714468002319336}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/e13020402","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13020402","pdf_url":"https://www.mdpi.com/1099-4300/13/2/402/pdf?version=1424784806","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:8b6a703909eb499c8e6945ab346df549","is_oa":true,"landing_page_url":"https://doaj.org/article/8b6a703909eb499c8e6945ab346df549","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 2, Pp 402-421 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e13020402","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13020402","pdf_url":"https://www.mdpi.com/1099-4300/13/2/402/pdf?version=1424784806","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1977434197.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W154790888","https://openalex.org/W213576919","https://openalex.org/W573924890","https://openalex.org/W592386890","https://openalex.org/W635494488","https://openalex.org/W1499331967","https://openalex.org/W1557177617","https://openalex.org/W1557268446","https://openalex.org/W1621175136","https://openalex.org/W1985922897","https://openalex.org/W2006718018","https://openalex.org/W2023464234","https://openalex.org/W2032558547","https://openalex.org/W2040430323","https://openalex.org/W2063173250","https://openalex.org/W2065931778","https://openalex.org/W2068551947","https://openalex.org/W2070066810","https://openalex.org/W2070174935","https://openalex.org/W2073630396","https://openalex.org/W2132901120","https://openalex.org/W2143507904","https://openalex.org/W2158759714","https://openalex.org/W2799484275","https://openalex.org/W2888870346","https://openalex.org/W3124054211","https://openalex.org/W3128015498","https://openalex.org/W4232129301","https://openalex.org/W4243839383","https://openalex.org/W4252028749","https://openalex.org/W4285719527","https://openalex.org/W4299429830"],"related_works":["https://openalex.org/W4297804264","https://openalex.org/W1966203994","https://openalex.org/W2180033908","https://openalex.org/W2078162783","https://openalex.org/W2116743383","https://openalex.org/W3041490575","https://openalex.org/W1640831794","https://openalex.org/W2963090617","https://openalex.org/W2970690932","https://openalex.org/W1583182756"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,9,12,32,38,52,56,61,65,72,79,84,92,99,104,119,123],"results":[4],"of":[5,8,11,21,27,31,37,55,78,103],"a":[6,28,128],"study":[7,39],"prediction":[10,54,77],"entropy":[13,58,70,81,97,114],"growth":[14,59],"within":[15,60],"an":[16,22],"internal":[17],"free":[18],"shear":[19,62,85],"layer":[20,63,86],"ideal":[23],"gas":[24],"flow":[25,33,73],"downstream":[26],"sudden":[29],"expansion":[30,124],"area.":[34],"The":[35,75,108],"objective":[36],"is":[40,87],"exploratory":[41],"in":[42,69,96],"nature":[43],"by":[44],"invoking":[45],"concepts":[46],"from":[47],"information":[48],"theory":[49],"to":[50,64,118],"connect":[51],"deterministic":[53,76],"spectral":[57,80,106,113],"experimentally":[66,93],"inferred":[67,94],"increase":[68,82,95],"across":[71,122],"region.":[74],"along":[83],"brought":[88],"into":[89],"agreement":[90],"with":[91],"through":[98],"ad":[100],"hoc":[101],"inclusion":[102],"activation":[105,112],"entropy.":[107],"values":[109],"for":[110,132],"this":[111],"are":[115],"directly":[116],"related":[117],"area":[120,134],"ratios":[121],"region":[125],"and":[126],"have":[127],"specific":[129],"numerical":[130],"value":[131],"each":[133],"ratio.":[135]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}