{"id":"https://openalex.org/W2134394897","doi":"https://doi.org/10.1142/s0218127409024566","title":"DYNAMIC BEHAVIOR OF A STEADY FLOW IN AN ANNULAR TUBE WITH POROUS WALLS AT DIFFERENT TEMPERATURES","display_name":"DYNAMIC BEHAVIOR OF A STEADY FLOW IN AN ANNULAR TUBE WITH POROUS WALLS AT DIFFERENT TEMPERATURES","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2134394897","doi":"https://doi.org/10.1142/s0218127409024566","mag":"2134394897"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409024566","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024566","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061845155","display_name":"Jacques Hona","orcid":null},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"JACQUES HONA","raw_affiliation_strings":["Applied Mechanics Laboratory, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 7389 Yaound\u00e9, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mechanics Laboratory, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 7389 Yaound\u00e9, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071168208","display_name":"Elisabeth Ngo Nyobe","orcid":"https://orcid.org/0000-0003-4033-0242"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"ELISABETH NGO NYOBE","raw_affiliation_strings":["Applied Mechanics Laboratory, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 7389 Yaound\u00e9, Cameroon","Department of Mathematics and Physical Science, National Advanced School of Engineering, University of Yaound\u00e9 I, P. O. Box 8390 Yaound\u00e9, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mechanics Laboratory, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 7389 Yaound\u00e9, Cameroon","institution_ids":["https://openalex.org/I1331070479"]},{"raw_affiliation_string":"Department of Mathematics and Physical Science, National Advanced School of Engineering, University of Yaound\u00e9 I, P. O. Box 8390 Yaound\u00e9, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061424024","display_name":"Elkana Pemha","orcid":"https://orcid.org/0000-0002-1867-2708"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"ELKANA PEMHA","raw_affiliation_strings":["Applied Mechanics Laboratory, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 7389 Yaound\u00e9, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mechanics Laboratory, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 7389 Yaound\u00e9, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1331070479"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.18054927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"09","first_page":"2939","last_page":"2951"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9998999834060669,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","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/T10998","display_name":"Heat Transfer and Optimization","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.7368213534355164},{"id":"https://openalex.org/keywords/tube","display_name":"Tube (container)","score":0.64511638879776},{"id":"https://openalex.org/keywords/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.6252099871635437},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.5788976550102234},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5570032596588135},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4872059226036072},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4841802418231964},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.46673616766929626},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4540688395500183},{"id":"https://openalex.org/keywords/shooting-method","display_name":"Shooting method","score":0.44903963804244995},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4355437159538269},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.4278841018676758},{"id":"https://openalex.org/keywords/viscous-liquid","display_name":"Viscous liquid","score":0.4275064170360565},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.4184390604496002},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.4124464988708496},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3172568678855896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27903640270233154},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15495693683624268},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15217027068138123},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.12735259532928467},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09840309619903564}],"concepts":[{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.7368213534355164},{"id":"https://openalex.org/C2777551473","wikidata":"https://www.wikidata.org/wiki/Q2093072","display_name":"Tube (container)","level":2,"score":0.64511638879776},{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.6252099871635437},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5788976550102234},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5570032596588135},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4872059226036072},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4841802418231964},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.46673616766929626},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4540688395500183},{"id":"https://openalex.org/C4195266","wikidata":"https://www.wikidata.org/wiki/Q1749769","display_name":"Shooting method","level":3,"score":0.44903963804244995},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4355437159538269},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4278841018676758},{"id":"https://openalex.org/C71351571","wikidata":"https://www.wikidata.org/wiki/Q7935890","display_name":"Viscous liquid","level":2,"score":0.4275064170360565},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.4184390604496002},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4124464988708496},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3172568678855896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27903640270233154},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15495693683624268},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15217027068138123},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.12735259532928467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09840309619903564},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409024566","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024566","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1967731414","https://openalex.org/W1988155374","https://openalex.org/W1999336049","https://openalex.org/W2005282709","https://openalex.org/W2032094013","https://openalex.org/W2038000554","https://openalex.org/W2041391272","https://openalex.org/W2041770581","https://openalex.org/W2067262878","https://openalex.org/W2072971072","https://openalex.org/W2078112488","https://openalex.org/W2133745110","https://openalex.org/W2154121060","https://openalex.org/W2470937562"],"related_works":["https://openalex.org/W2385382668","https://openalex.org/W2283102826","https://openalex.org/W1974236007","https://openalex.org/W2023596821","https://openalex.org/W2351460627","https://openalex.org/W2080165968","https://openalex.org/W2026136894","https://openalex.org/W4221165672","https://openalex.org/W2045279542","https://openalex.org/W2001292863"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,28,47,50,60,67,71,85,95,102],"axisymmetric":[4],"flow":[5,104],"of":[6,27,49,84,94,101],"a":[7,11],"viscous":[8],"fluid":[9,29],"through":[10],"porous":[12],"annular":[13],"tube":[14],"with":[15],"walls":[16],"kept":[17],"at":[18],"different":[19],"temperatures":[20],"is":[21,63],"studied":[22],"theoretically.":[23],"The":[24,43],"physical":[25],"properties":[26,83],"remain":[30],"constant,":[31],"notably":[32],"its":[33,36,40],"specific":[34,92],"mass,":[35],"dynamic":[37],"viscosity":[38],"and":[39,70,78,107],"thermal":[41,88],"diffusivity.":[42],"nondimensional":[44],"parameters":[45,96],"which":[46],"solutions":[48,100],"problem":[51],"depend":[52],"on":[53],"are":[54,76,97,105,113],"defined.":[55],"A":[56],"numerical":[57],"integration":[58],"using":[59],"shooting":[61],"method":[62],"applied":[64],"for":[65],"solving":[66],"Navier\u2013Stokes":[68],"equations":[69],"energy":[72],"equation.":[73],"Bifurcation":[74],"diagrams":[75],"presented":[77],"enable":[79],"to":[80,91],"highlight":[81],"significant":[82],"flow.":[86],"Some":[87],"behaviors":[89],"corresponding":[90],"values":[93],"performed.":[98],"Asymmetric":[99],"steady":[103],"described":[106],"some":[108],"results":[109],"about":[110],"velocity":[111],"components":[112],"also":[114],"analyzed.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}