{"id":"https://openalex.org/W2082179464","doi":"https://doi.org/10.1142/s0218127405013381","title":"SEMI-ANALYTICAL BIFURCATION ANALYSIS OF TWO-PHASE FLOW IN A HEATED CHANNEL","display_name":"SEMI-ANALYTICAL BIFURCATION ANALYSIS OF TWO-PHASE FLOW IN A HEATED CHANNEL","publication_year":2005,"publication_date":"2005-08-01","ids":{"openalex":"https://openalex.org/W2082179464","doi":"https://doi.org/10.1142/s0218127405013381","mag":"2082179464"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405013381","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405013381","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/120243","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024155891","display_name":"A. Dokhane","orcid":"https://orcid.org/0000-0002-1007-6450"},"institutions":[{"id":"https://openalex.org/I2802229908","display_name":"Paul Scherrer Institute","ror":"https://ror.org/03eh3y714","country_code":"CH","type":"facility","lineage":["https://openalex.org/I2799323385","https://openalex.org/I2802229908"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"A. DOKHANE","raw_affiliation_strings":["Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland","Swiss Federal Institute of Technology (EPFL), PHB-Ecublens, CH-1015 Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland","institution_ids":["https://openalex.org/I2802229908"]},{"raw_affiliation_string":"Swiss Federal Institute of Technology (EPFL), PHB-Ecublens, CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043485292","display_name":"D. Hennig","orcid":null},"institutions":[{"id":"https://openalex.org/I2802229908","display_name":"Paul Scherrer Institute","ror":"https://ror.org/03eh3y714","country_code":"CH","type":"facility","lineage":["https://openalex.org/I2799323385","https://openalex.org/I2802229908"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"D. HENNIG","raw_affiliation_strings":["Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland","institution_ids":["https://openalex.org/I2802229908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022106022","display_name":"R. Chawla","orcid":null},"institutions":[{"id":"https://openalex.org/I2802229908","display_name":"Paul Scherrer Institute","ror":"https://ror.org/03eh3y714","country_code":"CH","type":"facility","lineage":["https://openalex.org/I2799323385","https://openalex.org/I2802229908"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"R. CHAWLA","raw_affiliation_strings":["Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland","Swiss Federal Institute of Technology (EPFL), PHB-Ecublens, CH-1015 Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland","institution_ids":["https://openalex.org/I2802229908"]},{"raw_affiliation_string":"Swiss Federal Institute of Technology (EPFL), PHB-Ecublens, CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110509114","display_name":"Rizwan-uddin Rizwan-uddin","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I71561298","display_name":"Goodwin College","ror":"https://ror.org/009bjed14","country_code":"US","type":"education","lineage":["https://openalex.org/I71561298"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RIZWAN-UDDIN","raw_affiliation_strings":["Department of Nuclear, Plasma, and Radiological Engineering, University of Illinois, 103 S. Goodwin Ave. Urbana, IL 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Nuclear, Plasma, and Radiological Engineering, University of Illinois, 103 S. Goodwin Ave. Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I71561298","https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0812,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.81781503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"08","first_page":"2395","last_page":"2409"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9803000092506409,"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/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.6391041278839111},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6201517581939697},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6128003597259521},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.5983795523643494},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5729932188987732},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.5100048780441284},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4820438325405121},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.4615822434425354},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.4550860524177551},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.41078031063079834},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4037865698337555},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3140369951725006},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17485246062278748},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15052530169487}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6391041278839111},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6201517581939697},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6128003597259521},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.5983795523643494},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5729932188987732},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.5100048780441284},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4820438325405121},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.4615822434425354},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.4550860524177551},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.41078031063079834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4037865698337555},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3140369951725006},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17485246062278748},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15052530169487},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218127405013381","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405013381","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:dora:psi_13135","is_oa":false,"landing_page_url":"https://www.dora.lib4ri.ch/psi/islandora/object/psi%3A13135","pdf_url":null,"source":{"id":"https://openalex.org/S4306402574","display_name":"DORA PSI (Paul Scherrer Institute)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802229908","host_organization_name":"Paul Scherrer Institute","host_organization_lineage":["https://openalex.org/I2802229908"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:infoscience.epfl.ch:120243","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/120243","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:120243","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/22219","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:120243","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/120243","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326801","display_name":"Eidgen\u00f6ssisches Nuklearsicherheitsinspektorat","ror":"https://ror.org/02npm8404"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W132202512","https://openalex.org/W220255597","https://openalex.org/W567138128","https://openalex.org/W639828488","https://openalex.org/W1538653029","https://openalex.org/W1973214248","https://openalex.org/W1986436576","https://openalex.org/W1990297614","https://openalex.org/W1999934314","https://openalex.org/W2023817674","https://openalex.org/W2048346687","https://openalex.org/W2053910266","https://openalex.org/W2058925715","https://openalex.org/W2121850326","https://openalex.org/W2477244626","https://openalex.org/W2535937011","https://openalex.org/W4251747939","https://openalex.org/W4256268286"],"related_works":["https://openalex.org/W2546487931","https://openalex.org/W2325048728","https://openalex.org/W56905705","https://openalex.org/W2356715721","https://openalex.org/W3042510364","https://openalex.org/W2024878967","https://openalex.org/W2387129305","https://openalex.org/W2775656422","https://openalex.org/W2093031788","https://openalex.org/W4379507489"],"abstract_inverted_index":{"Using":[0],"a":[1,9,23,58,115,136],"drift":[2,78,92],"flux":[3,79],"representation":[4],"for":[5,178],"the":[6,39,45,50,71,74,77,83,91,98,104,111,124,130,161,173,198,207,210],"two-phase":[7,138],"flow,":[8],"new":[10],"reduced":[11],"order":[12],"model":[13,27,80],"has":[14,118,156],"been":[15,119,157],"developed":[16],"to":[17,31,69,122,165,187,191,205],"simulate":[18],"density-wave":[19],"oscillations":[20],"(DWOs)":[21],"in":[22,43,57,76,135],"heated":[24],"channel.":[25],"This":[26],"is":[28,66,110,163,184,202],"then":[29],"used":[30],"perform":[32],"stability":[33,46],"and":[34,49,90,147,169],"semi-analytical":[35,211],"bifurcation":[36,40,54,134,177,212],"analysis,":[37],"using":[38],"code":[41],"BIFDD,":[42],"which":[44],"boundary":[47],"(SB)":[48],"nature":[51,105,131,174],"of":[52,73,106,126,132,175,181,197,200,209],"Hopf":[53,107,133,149,176],"are":[55,151],"determined":[56],"suitable":[59],"two-dimensional":[60],"parameter":[61,87],"space.":[62],"A":[63],"comparative":[64],"study":[65],"carried":[67,120,203],"out":[68,121,204],"investigate":[70,123],"effects":[72,125],"parameters":[75,128],"(DFM)":[81],"\u2014":[82,96],"radially":[84],"void":[85],"distribution":[86],"C":[88,167,192],"0":[89,168,193],"velocity":[93],"V":[94,170,188],"gj":[95,171,189],"on":[97,103,129],"SB":[99,162],"as":[100,102],"well":[101],"bifurcation.":[108],"It":[109],"first":[112],"time":[113],"that":[114,144],"systematic":[116],"analysis":[117],"DFM":[127],"heated-channel":[137],"flow.":[139],"The":[140],"results":[141],"obtained":[142],"show":[143],"both":[145,166],"sub-":[146],"super-critical":[148],"bifurcations":[150],"encountered.":[152],"In":[153],"addition,":[154],"it":[155],"found":[158],"that,":[159],"while":[160],"sensitive":[164,186],",":[172],"lower":[179],"values":[180],"N":[182],"sub":[183],"more":[185],"than":[190],".":[194],"Numerical":[195],"integration":[196],"set":[199],"ODEs":[201],"confirm":[206],"predictions":[208],"analysis.":[213]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}