{"id":"https://openalex.org/W2052470300","doi":"https://doi.org/10.1155/2014/695425","title":"Eddy Heat Conduction and Nonlinear Stability of a Darcy Lapwood System Analysed by the Finite Spectral Method","display_name":"Eddy Heat Conduction and Nonlinear Stability of a Darcy Lapwood System Analysed by the Finite Spectral Method","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2052470300","doi":"https://doi.org/10.1155/2014/695425","mag":"2052470300"},"language":"en","primary_location":{"id":"doi:10.1155/2014/695425","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/695425","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/695425.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/695425.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064068503","display_name":"J\u00f3nas El\u00edasson","orcid":"https://orcid.org/0000-0003-1933-7124"},"institutions":[{"id":"https://openalex.org/I165368041","display_name":"University of Iceland","ror":"https://ror.org/01db6h964","country_code":"IS","type":"education","lineage":["https://openalex.org/I165368041"]},{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["IS","JP"],"is_corresponding":true,"raw_author_name":"J\u00f3nas El\u00edasson","raw_affiliation_strings":["Disaster Prevention Research Institute, University of Kyoto, Gokasyo, Uji, Kyoto 6110011, Japan","Earthquake Engineering Research Centre, University of Iceland, 800 Selfoss, Iceland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Disaster Prevention Research Institute, University of Kyoto, Gokasyo, Uji, Kyoto 6110011, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Earthquake Engineering Research Centre, University of Iceland, 800 Selfoss, Iceland","institution_ids":["https://openalex.org/I165368041"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064068503"],"corresponding_institution_ids":["https://openalex.org/I165368041","https://openalex.org/I22299242"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.2849,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59766755,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9993000030517578,"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":0.9993000030517578,"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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.6451832056045532},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.6331249475479126},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6158527135848999},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5690518021583557},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5576034784317017},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.5514420866966248},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.5001082420349121},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.47146540880203247},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4571821689605713},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.41383060812950134},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.41333216428756714},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3352203369140625},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2143118679523468},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13427409529685974},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07365712523460388}],"concepts":[{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6451832056045532},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.6331249475479126},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6158527135848999},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5690518021583557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5576034784317017},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.5514420866966248},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.5001082420349121},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.47146540880203247},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4571821689605713},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.41383060812950134},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.41333216428756714},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3352203369140625},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2143118679523468},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13427409529685974},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07365712523460388},{"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:10.1155/2014/695425","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/695425","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/695425.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1412183191","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1412183191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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:RePEc:hin:jnljam:695425","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/695425.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:d635dcfee0f14865929cf2ae7af87101","is_oa":true,"landing_page_url":"https://doaj.org/article/d635dcfee0f14865929cf2ae7af87101","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":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/695425","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/695425","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/695425.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2052470300.pdf","grobid_xml":"https://content.openalex.org/works/W2052470300.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W19390419","https://openalex.org/W597452549","https://openalex.org/W1988835265","https://openalex.org/W1995781536","https://openalex.org/W2013172325","https://openalex.org/W2018467337","https://openalex.org/W2019538401","https://openalex.org/W2032152386","https://openalex.org/W2046491644","https://openalex.org/W2051240948","https://openalex.org/W2052013867","https://openalex.org/W2068114049","https://openalex.org/W2069331877","https://openalex.org/W2074906128","https://openalex.org/W2076981418","https://openalex.org/W2096674330","https://openalex.org/W2141080546","https://openalex.org/W2146129797","https://openalex.org/W2158818323","https://openalex.org/W2166923757","https://openalex.org/W2313370484","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3148450583","https://openalex.org/W2012401264","https://openalex.org/W2393814631","https://openalex.org/W2888421388","https://openalex.org/W2060181896","https://openalex.org/W2029589300","https://openalex.org/W2612076014","https://openalex.org/W2011023096","https://openalex.org/W2005994938","https://openalex.org/W4211044849"],"abstract_inverted_index":{"A":[0,89],"finite":[1],"Fourier":[2,91],"transform":[3,92],"is":[4,93,167,179],"used":[5,94],"to":[6,148,172],"perform":[7],"both":[8],"linear":[9],"and":[10,48,71,77,98],"nonlinear":[11,50,68],"stability":[12],"analyses":[13],"of":[14,18,59,154],"a":[15,57,115,149,165],"Darcy-Lapwood":[16],"system":[17],"convective":[19],"rolls.":[20],"The":[21,112],"method":[22],"shows":[23],"how":[24],"many":[25],"modes":[26,129],"are":[27,84],"unstable,":[28],"the":[29,37,49,60,67,73,86,104,119,138,144,155],"wave":[30,43],"number":[31],"instability":[32,121],"band":[33],"within":[34],"each":[35,46,54,81],"mode,":[36,47],"maximum":[38],"growth":[39,51,69],"rate":[40,76],"(most":[41],"critical)":[42],"numbers":[44],"on":[45,80,143],"rates":[52,70],"for":[53,95],"amplitude":[55,65,151],"as":[56],"function":[58],"porous":[61],"Rayleigh":[62],"number.":[63],"Single":[64],"controls":[66],"thereby":[72],"physical":[74],"flow":[75],"fluid":[78],"velocity,":[79],"mode.":[82],"They":[83],"called":[85],"flak":[87,139,150],"amplitudes.":[88],"discrete":[90,113],"numerical":[96],"simulations":[97],"here":[99],"frequency":[100],"combinations":[101],"appear":[102],"that":[103],"traditional":[105],"cut-off":[106],"infinite":[107],"transforms":[108],"do":[109],"not":[110],"have.":[111],"show":[114,131],"stationary":[116],"solution":[117],"in":[118],"weak":[120],"phase,":[122],"but":[123,178],"when":[124],"carried":[125],"past":[126],"2":[127],"unstable":[128],"they":[130],"fluctuating":[132],"motion":[133],"where":[134,164],"all":[135],"amplitudes":[136],"except":[137],"may":[140],"be":[141],"zero":[142],"average.":[145],"This":[146],"leads":[147],"scaling":[152],"process":[153],"heat":[156,161],"conduction,":[157],"producing":[158],"an":[159],"eddy":[160],"conduction":[162],"coefficient":[163],"Nu-RaLrelationship":[166],"found.":[168],"It":[169],"fits":[170],"better":[171],"experiments":[173],"than":[174,181],"previously":[175],"found":[176],"solutions":[177],"lower":[180],"experiments.":[182]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
