{"id":"https://openalex.org/W4244874841","doi":"https://doi.org/10.1121/1.1520944","title":"Use of complex frequency to analyze thermoacoustic engines","display_name":"Use of complex frequency to analyze thermoacoustic engines","publication_year":2002,"publication_date":"2002-10-07","ids":{"openalex":"https://openalex.org/W4244874841","doi":"https://doi.org/10.1121/1.1520944"},"language":"en","primary_location":{"id":"doi:10.1121/1.1520944","doi":"https://doi.org/10.1121/1.1520944","is_oa":false,"landing_page_url":"https://doi.org/10.1121/1.1520944","pdf_url":null,"source":{"id":"https://openalex.org/S11296630","display_name":"The Journal of the Acoustical Society of America","issn_l":"0001-4966","issn":["0001-4966","1520-8524","1520-9024"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-b","cwts-core","dongbi-b","erih-plus","jufo-3","ki-jl-1","medline","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320226","host_organization_name":"Acoustical Society of America","host_organization_lineage":["https://openalex.org/P4310320226"],"host_organization_lineage_names":["Acoustical Society of America"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of the Acoustical Society of America","raw_type":"journal-article"},"volume":null,"type":"conference-abstract","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/A5103093095","display_name":"J. E. S. Parker","orcid":"https://orcid.org/0000-0002-4948-2229","observed_orcids":["https://orcid.org/0000-0002-4948-2229"]},"institutions":[{"id":"https://openalex.org/I4388482719","display_name":"Applied Research Laboratories, The University of Texas at Austin","ror":"https://ror.org/053wph561","country_code":"US","type":"facility","lineage":["https://openalex.org/I4388482719","https://openalex.org/I86519309"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James E. Parker","raw_affiliation_strings":["Appl. Res. Labs., Univ. of Texas, Austin, TX 78713-8029"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Appl. Res. Labs., Univ. of Texas, Austin, TX 78713-8029","institution_ids":["https://openalex.org/I4388482719","https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081589682","display_name":"Mark F. Hamilton","orcid":"https://orcid.org/0000-0002-1622-6480","observed_orcids":["https://orcid.org/0000-0002-1622-6480"]},"institutions":[{"id":"https://openalex.org/I4388482719","display_name":"Applied Research Laboratories, The University of Texas at Austin","ror":"https://ror.org/053wph561","country_code":"US","type":"facility","lineage":["https://openalex.org/I4388482719","https://openalex.org/I86519309"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark F. Hamilton","raw_affiliation_strings":["Appl. Res. Labs., Univ. of Texas, Austin, TX 78713-8029"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Appl. Res. Labs., Univ. of Texas, Austin, TX 78713-8029","institution_ids":["https://openalex.org/I4388482719","https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108226233","display_name":"Yurii A. Ilinskii","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yurii A. Ilinskii","raw_affiliation_strings":["Univ. of Texas, Austin, TX 78712-1063"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of Texas, Austin, TX 78712-1063","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043661774","display_name":"Evgenia A. Zabolotskaya","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Evgenia A. Zabolotskaya","raw_affiliation_strings":["Univ. of Texas, Austin, TX 78712-1063"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of Texas, Austin, TX 78712-1063","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"112","issue":"5_Supplement","first_page":"2297","last_page":"2297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12139","display_name":"Advanced Thermodynamic Systems and Engines","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T12139","display_name":"Advanced Thermodynamic Systems and Engines","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10553","display_name":"Combustion and flame dynamics","score":0.0007999999797903001,"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/T10440","display_name":"Advanced Thermoelectric Materials and Devices","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/thermoacoustic-engine","display_name":"thermoacoustic engine","score":0.9509999752044678},{"id":"https://openalex.org/keywords/complex-frequency","display_name":"complex frequency","score":0.9079999923706055},{"id":"https://openalex.org/keywords/thermoacoustic-instability","display_name":"thermoacoustic instability","score":0.9139999747276306},{"id":"https://openalex.org/keywords/resonators","display_name":"resonators","score":0.7379999756813049},{"id":"https://openalex.org/keywords/nonequilibrium-states","display_name":"non-equilibrium states","score":0.621999979019165}],"concepts":[{"id":"https://openalex.org/C137820387","wikidata":"https://www.wikidata.org/wiki/Q909337","display_name":"Thermoacoustics","level":2,"score":0.7430088520050049},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.6010724902153015},{"id":"https://openalex.org/C137109543","wikidata":"https://www.wikidata.org/wiki/Q554388","display_name":"Temperature gradient","level":2,"score":0.5896589159965515},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5423295497894287},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5356447696685791},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5236213803291321},{"id":"https://openalex.org/C54651841","wikidata":"https://www.wikidata.org/wiki/Q1437170","display_name":"Thermoacoustic heat engine","level":3,"score":0.5118328928947449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4971168339252472},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.47516340017318726},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4693893790245056},{"id":"https://openalex.org/C97126364","wikidata":"https://www.wikidata.org/wiki/Q349669","display_name":"Resonator","level":2,"score":0.44208812713623047},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.43770354986190796},{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.4199608564376831},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.39581751823425293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33253052830696106},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3317424952983856},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2564767003059387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16362246870994568},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.15531179308891296},{"id":"https://openalex.org/C125557594","wikidata":"https://www.wikidata.org/wiki/Q1796972","display_name":"Refrigerator car","level":2,"score":0.08689317107200623},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1121/1.1520944","doi":"https://doi.org/10.1121/1.1520944","is_oa":false,"landing_page_url":"https://doi.org/10.1121/1.1520944","pdf_url":null,"source":{"id":"https://openalex.org/S11296630","display_name":"The Journal of the Acoustical Society of America","issn_l":"0001-4966","issn":["0001-4966","1520-8524","1520-9024"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-b","cwts-core","dongbi-b","erih-plus","jufo-3","ki-jl-1","medline","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320226","host_organization_name":"Acoustical Society of America","host_organization_lineage":["https://openalex.org/P4310320226"],"host_organization_lineage_names":["Acoustical Society of America"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of the Acoustical Society of America","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2319040313","https://openalex.org/W2007035645","https://openalex.org/W2752472779","https://openalex.org/W4251374345","https://openalex.org/W2016845780","https://openalex.org/W2065456763","https://openalex.org/W2763506161","https://openalex.org/W2027592708","https://openalex.org/W1199427358","https://openalex.org/W6944186406"],"abstract_inverted_index":{"Rotts":[0],"equations":[1],"of":[2,74,94,133,152,161,184],"thermoacoustics":[3],"are":[4],"expressed":[5],"in":[6,42,143],"the":[7,23,29,33,38,43,49,75,88,92,95,108,118,134,140,146,153,157,162,182,185],"frequency":[8,24,56,76],"domain,":[9],"and":[10,28,48,60,81,159],"as":[11,21,124],"such":[12,20],"they":[13],"describe":[14],"steady-state":[15],"conditions.":[16],"In":[17],"numerical":[18],"algorithms":[19],"deltae":[22],"is":[25,53,174],"considered":[26],"real,":[27],"solutions":[30,113],"correspond":[31],"to":[32,54,57,61,115,138,177],"equilibrium":[34,106],"states":[35],"associated":[36],"with":[37,103],"critical":[39,109],"temperature":[40,68,110,179],"gradient":[41],"stack.":[44,186],"An":[45],"alternative":[46],"approach,":[47],"one":[50],"described":[51],"here,":[52],"allow":[55],"be":[58,122],"complex":[59],"determine":[62],"its":[63,84],"value":[64],"for":[65,164],"a":[66,78,125],"specified":[67],"gradient.":[69,111],"A":[70],"nonzero":[71],"imaginary":[72,119,154],"part":[73,120,155],"indicates":[77],"nonequilibrium":[79],"state,":[80],"depending":[82],"on":[83],"sign":[85],"it":[86],"determines":[87,145],"rate":[89],"at":[90,107,149],"which":[91,129],"amplitude":[93],"sound":[96],"field":[97],"either":[98],"increases":[99],"or":[100],"decreases":[101],"initially":[102],"time":[104],"toward":[105],"For":[112],"corresponding":[114],"thermoacoustic":[116],"instability":[117],"may":[121],"interpreted":[123],"negative":[126],"loss":[127,136],"coefficient,":[128],"provides":[130],"an":[131],"estimate":[132],"nonlinear":[135],"required":[137],"offset":[139],"instability.":[141],"This":[142],"turn":[144],"acoustic":[147],"pressure":[148],"saturation.":[150],"Graphs":[151],"versus":[156],"position":[158],"length":[160,183],"stack":[163],"various":[165],"resonators":[166],"provide":[167],"insight":[168],"into":[169],"favorable":[170],"operating":[171],"configurations.":[172],"Consideration":[173],"also":[175],"given":[176],"nonconstant":[178],"gradients":[180],"along":[181],"[Work":[187],"supported":[188],"by":[189],"ONR.]":[190]},"counts_by_year":[],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2022-05-12T00:00:00"}