{"id":"https://openalex.org/W2114677753","doi":"https://doi.org/10.2514/3.51183","title":"Navier-Stokes Solutions for an Axisymmetric Nozzle","display_name":"Navier-Stokes Solutions for an Axisymmetric Nozzle","publication_year":1982,"publication_date":"1982-09-01","ids":{"openalex":"https://openalex.org/W2114677753","doi":"https://doi.org/10.2514/3.51183","mag":"2114677753"},"language":"en","primary_location":{"id":"doi:10.2514/3.51183","doi":"https://doi.org/10.2514/3.51183","is_oa":false,"landing_page_url":"https://doi.org/10.2514/3.51183","pdf_url":null,"source":{"id":"https://openalex.org/S53336109","display_name":"AIAA Journal","issn_l":"0001-1452","issn":["0001-1452","1081-0102","1533-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-1","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315709","host_organization_name":"American Institute of Aeronautics and Astronautics","host_organization_lineage":["https://openalex.org/P4310315709"],"host_organization_lineage_names":["American Institute of Aeronautics and Astronautics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIAA Journal","raw_type":"journal-article"},"volume":null,"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/A5045113304","display_name":"Gerald Hasen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2799950915","display_name":"Wright-Patterson Air Force Base","ror":"https://ror.org/0097e1k27","country_code":"US","type":"other","lineage":["https://openalex.org/I1330347796","https://openalex.org/I2799950915","https://openalex.org/I4210089612","https://openalex.org/I4210102105"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. A. Hasen","raw_affiliation_strings":["Air Force Wright Aeronautical Laboratories, Wright-Patterson Air Force Base, Ohio"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Force Wright Aeronautical Laboratories, Wright-Patterson Air Force Base, Ohio","institution_ids":["https://openalex.org/I2799950915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045113304"],"corresponding_institution_ids":["https://openalex.org/I2799950915"],"apc_list":null,"apc_paid":null,"fwci":3.7181,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.93115279,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"20","issue":"9","first_page":"1219","last_page":"1227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994999766349792,"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":0.9994999766349792,"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/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":9.999999747378752e-05,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":9.999999747378752e-05,"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/axisymmetric-nozzle","display_name":"axisymmetric nozzle","score":0.9279999732971191},{"id":"https://openalex.org/keywords/jet-pressure-ratio","display_name":"jet pressure ratio","score":0.5920000076293945},{"id":"https://openalex.org/keywords/overexpanded-jets","display_name":"overexpanded jets","score":0.6909999847412109},{"id":"https://openalex.org/keywords/under-expanded-jets","display_name":"underexpanded jet","score":0.9789999723434448},{"id":"https://openalex.org/keywords/mach-disk","display_name":"Mach disk","score":0.859000027179718},{"id":"https://openalex.org/keywords/shock-wave-reflection","display_name":"shock wave reflection","score":0.8309999704360962},{"id":"https://openalex.org/keywords/viscous-effects","display_name":"viscosity effects","score":0.5609999895095825},{"id":"https://openalex.org/keywords/maccormack-scheme","display_name":"MacCormack scheme","score":0.6470000147819519},{"id":"https://openalex.org/keywords/adaptive-grid","display_name":"adaptive grid","score":0.8169999718666077}],"concepts":[{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.7941755056381226},{"id":"https://openalex.org/C56200935","wikidata":"https://www.wikidata.org/wiki/Q250840","display_name":"Nozzle","level":2,"score":0.7255961894989014},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5899244546890259},{"id":"https://openalex.org/C32526432","wikidata":"https://www.wikidata.org/wiki/Q1536235","display_name":"Reynolds-averaged Navier\u2013Stokes equations","level":3,"score":0.5850446224212646},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5647572875022888},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4561270475387573},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.45366719365119934},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.34304079413414},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.32706332206726074},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.22699123620986938},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19391003251075745}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2514/3.51183","doi":"https://doi.org/10.2514/3.51183","is_oa":false,"landing_page_url":"https://doi.org/10.2514/3.51183","pdf_url":null,"source":{"id":"https://openalex.org/S53336109","display_name":"AIAA Journal","issn_l":"0001-1452","issn":["0001-1452","1081-0102","1533-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-1","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315709","host_organization_name":"American Institute of Aeronautics and Astronautics","host_organization_lineage":["https://openalex.org/P4310315709"],"host_organization_lineage_names":["American Institute of Aeronautics and Astronautics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIAA Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309568","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1582172215","https://openalex.org/W1583558677","https://openalex.org/W1614804394","https://openalex.org/W1977154716","https://openalex.org/W2026217000","https://openalex.org/W2058205025","https://openalex.org/W2116131370","https://openalex.org/W2118147090","https://openalex.org/W2149165771","https://openalex.org/W2151621912","https://openalex.org/W2165472554","https://openalex.org/W2312741058","https://openalex.org/W2317417019","https://openalex.org/W2326394890","https://openalex.org/W2328825616","https://openalex.org/W2332985762","https://openalex.org/W2885283883","https://openalex.org/W4285719527","https://openalex.org/W4388095093"],"related_works":["https://openalex.org/W133376484","https://openalex.org/W2611779150","https://openalex.org/W2265328537","https://openalex.org/W1963499410","https://openalex.org/W2329647538","https://openalex.org/W2049383898","https://openalex.org/W2106995553","https://openalex.org/W2115798496","https://openalex.org/W768187","https://openalex.org/W2391717438"],"abstract_inverted_index":{"Numerical":[0],"solutions":[1],"of":[2],"the":[3,67,75,81,95,108],"Navier-Stokes":[4],"equations":[5],"are":[6,46,63],"obtained":[7],"for":[8],"an":[9,53],"axisymmetric":[10],"nozzle":[11,82],"in":[12,107],"a":[13,30,36,42,90],"supersonic":[14],"external":[15],"flowfield":[16],"(M^":[17],"=1.94,":[18],"My":[19],"=3.0,":[20],"Re^":[21],"=2.2xl0).":[22],"Five":[23],"jet":[24,109],"pressure":[25,84],"ratio":[26],"conditions":[27],"ranging":[28],"from":[29,89,99],"highly":[31],"overexpanded":[32],"case":[33,45],"that":[34],"exhibits":[35],"Mach":[37,104],"disk":[38,105],"shock":[39,86,101],"formation":[40],"to":[41,65,103],"slightly":[43],"underexpanded":[44],"solved":[47],"computationally.":[48],"MacCormack's":[49],"explicit":[50],"finite-difference":[51],"algorithm,":[52],"adaptive":[54],"grid":[55],"scheme,":[56],"and":[57,85],"locally":[58],"dependent":[59],"eddy":[60],"viscosity":[61],"modeling":[62],"utilized":[64],"obtain":[66],"numerical":[68],"solutions.":[69],"The":[70],"computational":[71],"results":[72],"accurately":[73],"reproduce":[74],"experimentally":[76],"observed":[77],"viscous":[78],"effects":[79],"on":[80,94],"base":[83,92],"locations":[87],"resulting":[88],"thick":[91],"annulus":[93],"nozzle.":[96],"Correct":[97],"transition":[98],"regular":[100],"reflection":[102,106],"core":[110],"was":[111],"achieved":[112],"numerically.":[113]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}