{"id":"https://openalex.org/W4387134995","doi":"https://doi.org/10.1137/22m1529099","title":"Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle","display_name":"Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle","publication_year":2023,"publication_date":"2023-09-28","ids":{"openalex":"https://openalex.org/W4387134995","doi":"https://doi.org/10.1137/22m1529099"},"language":"en","primary_location":{"id":"doi:10.1137/22m1529099","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1529099","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059799695","display_name":"Geng Lai","orcid":"https://orcid.org/0000-0001-6250-2602"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Geng Lai","raw_affiliation_strings":["Department of Mathematics, Shanghai University, Shanghai, 200444, People\u2019s Republic of China, Newtouch Center for Mathematics, Shanghai University, Shanghai, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai, 200444, People\u2019s Republic of China, Newtouch Center for Mathematics, Shanghai University, Shanghai, People\u2019s Republic of China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010125938","display_name":"Wancheng Sheng","orcid":"https://orcid.org/0000-0003-0884-0488"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wancheng Sheng","raw_affiliation_strings":["Corresponding author. Department of Mathematics, Shanghai University, Shanghai, 200444, People\u2019s Republic of China, Newtouch Center for Mathematics, Shanghai University, Shanghai, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Mathematics, Shanghai University, Shanghai, 200444, People\u2019s Republic of China, Newtouch Center for Mathematics, Shanghai University, Shanghai, People\u2019s Republic of China","institution_ids":["https://openalex.org/I113940042"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059799695"],"corresponding_institution_ids":["https://openalex.org/I113940042"],"apc_list":null,"apc_paid":null,"fwci":1.0512,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72363492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"55","issue":"5","first_page":"5260","last_page":"5317"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/supersonic-speed","display_name":"Supersonic speed","score":0.8979291915893555},{"id":"https://openalex.org/keywords/nozzle","display_name":"Nozzle","score":0.8331111669540405},{"id":"https://openalex.org/keywords/jet","display_name":"Jet (fluid)","score":0.7162964940071106},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.7074986696243286},{"id":"https://openalex.org/keywords/conical-surface","display_name":"Conical surface","score":0.6432437300682068},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49612173438072205},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4867255985736847},{"id":"https://openalex.org/keywords/choked-flow","display_name":"Choked flow","score":0.45578402280807495},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.36043497920036316},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.21140044927597046},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16179746389389038},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15519732236862183}],"concepts":[{"id":"https://openalex.org/C205991772","wikidata":"https://www.wikidata.org/wiki/Q221337","display_name":"Supersonic speed","level":2,"score":0.8979291915893555},{"id":"https://openalex.org/C56200935","wikidata":"https://www.wikidata.org/wiki/Q250840","display_name":"Nozzle","level":2,"score":0.8331111669540405},{"id":"https://openalex.org/C119947313","wikidata":"https://www.wikidata.org/wiki/Q5596635","display_name":"Jet (fluid)","level":2,"score":0.7162964940071106},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.7074986696243286},{"id":"https://openalex.org/C124961601","wikidata":"https://www.wikidata.org/wiki/Q2518149","display_name":"Conical surface","level":2,"score":0.6432437300682068},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49612173438072205},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4867255985736847},{"id":"https://openalex.org/C197482802","wikidata":"https://www.wikidata.org/wiki/Q3523932","display_name":"Choked flow","level":3,"score":0.45578402280807495},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.36043497920036316},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.21140044927597046},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16179746389389038},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15519732236862183}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1529099","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1529099","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1640769224","display_name":null,"funder_award_id":"12071278","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5891526815","display_name":null,"funder_award_id":"12171305","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6880431197","display_name":null,"funder_award_id":"23ZR1422100","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"}],"funders":[{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":77,"referenced_works":["https://openalex.org/W41174126","https://openalex.org/W388211096","https://openalex.org/W1538526245","https://openalex.org/W1591390169","https://openalex.org/W1592222067","https://openalex.org/W1618363859","https://openalex.org/W1921312749","https://openalex.org/W1966734932","https://openalex.org/W1970228368","https://openalex.org/W1975831307","https://openalex.org/W1980186508","https://openalex.org/W1980406859","https://openalex.org/W1985600324","https://openalex.org/W1985818596","https://openalex.org/W1987246040","https://openalex.org/W1990572924","https://openalex.org/W1992528736","https://openalex.org/W1995333949","https://openalex.org/W1996646210","https://openalex.org/W1997186431","https://openalex.org/W1998880629","https://openalex.org/W2009472071","https://openalex.org/W2012925462","https://openalex.org/W2014250706","https://openalex.org/W2019482884","https://openalex.org/W2019680912","https://openalex.org/W2025334356","https://openalex.org/W2035422267","https://openalex.org/W2036156106","https://openalex.org/W2041423792","https://openalex.org/W2053952260","https://openalex.org/W2059606113","https://openalex.org/W2063120786","https://openalex.org/W2065795884","https://openalex.org/W2066784287","https://openalex.org/W2074891287","https://openalex.org/W2080049628","https://openalex.org/W2080128296","https://openalex.org/W2090361713","https://openalex.org/W2094971345","https://openalex.org/W2124412477","https://openalex.org/W2141278389","https://openalex.org/W2145821666","https://openalex.org/W2150234709","https://openalex.org/W2150867435","https://openalex.org/W2157736798","https://openalex.org/W2163734752","https://openalex.org/W2288772602","https://openalex.org/W2343888562","https://openalex.org/W2488857468","https://openalex.org/W2522865793","https://openalex.org/W2547620400","https://openalex.org/W2592629644","https://openalex.org/W2595470347","https://openalex.org/W2743423846","https://openalex.org/W2771031773","https://openalex.org/W2787657780","https://openalex.org/W2790601866","https://openalex.org/W2805637713","https://openalex.org/W2909896724","https://openalex.org/W2911404181","https://openalex.org/W2948219639","https://openalex.org/W2963448124","https://openalex.org/W2963554700","https://openalex.org/W2963831920","https://openalex.org/W2964205790","https://openalex.org/W3017004670","https://openalex.org/W3047085143","https://openalex.org/W3093810939","https://openalex.org/W3101840817","https://openalex.org/W3103007336","https://openalex.org/W3119743065","https://openalex.org/W3163195093","https://openalex.org/W3181179233","https://openalex.org/W4231816738","https://openalex.org/W4253909040","https://openalex.org/W4388322678"],"related_works":["https://openalex.org/W2065501850","https://openalex.org/W2042141453","https://openalex.org/W2379144560","https://openalex.org/W2374177096","https://openalex.org/W1981903095","https://openalex.org/W3119298418","https://openalex.org/W2005056607","https://openalex.org/W1968225656","https://openalex.org/W2463492837","https://openalex.org/W2047547451"],"abstract_inverted_index":{"The":[0,179,199],"study":[1],"of":[2,55,63,109,115,146],"supersonic":[3,23,82,126,150,195,209],"jet":[4,15,25,84,128,196,210],"flows":[5,26],"from":[6,27,90,134],"a":[7,28,72,76,99,103,120,154],"nozzle":[8,68,95],"is":[9,39,58,69,96,159,174,204],"significant":[10],"in":[11,14,149,161,164,183,201],"practical":[12],"applications":[13],"engine":[16],"and":[17,51,79,123,170,173],"rocket":[18],"technology.":[19],"This":[20],"paper":[21,185,203],"studies":[22],"reacting":[24,83,127],"three-dimensional":[29],"(3D)":[30],"divergent":[31],"conical":[32],"nozzle.":[33,65,92,136],"We":[34],"assume":[35],"that":[36,52],"the":[37,53,56,61,64,67,88,91,94,107,110,113,116,132,135,144,165,184,202],"flow":[38,57,85,111,129,180,197],"governed":[40],"by":[41,71,98,176],"3D":[42],"steady":[43],"Zeldovich\u2013von":[44],"Neumann\u2013D\u00f6ring":[45],"combustion":[46],"equations":[47],"with":[48,102],"cylindrical":[49],"symmetry":[50],"state":[54],"given":[59],"at":[60,112],"inlet":[62],"When":[66,93],"surrounded":[70,97],"vacuum,":[73],"we":[74,118,138],"obtain":[75,119],"global":[77],"continuous":[78,122],"piecewise":[80,124],"smooth":[81,125],"expanding":[86,130,152],"into":[87,131,153],"vacuum":[89],"static":[100],"atmosphere":[101,133],"lower":[104,155],"pressure":[105,108,156],"than":[106],"exit":[114],"nozzle,":[117],"local":[121],"Moreover,":[137],"also":[139,205],"give":[140],"an":[141],"explanation":[142],"for":[143,192,207],"formation":[145],"intercepting":[147],"shocks":[148],"jets":[151],"environment,":[157],"which":[158],"stated":[160],"section":[162],"148":[163],"famous":[166],"book":[167],"Supersonic":[168],"Flow":[169],"Shock":[171],"Waves":[172],"verified":[175],"physical":[177],"experiments.":[178],"patterns":[181],"constructed":[182],"may":[186],"be":[187],"used":[188],"as":[189],"background":[190],"solutions":[191],"more":[193],"general":[194],"problems.":[198],"result":[200],"suitable":[206],"nonreacting":[208],"flows.":[211]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}