{"id":"https://openalex.org/W4313824113","doi":"https://doi.org/10.3390/sym15010183","title":"General Solutions for Some MHD Motions of Second-Grade Fluids between Parallel Plates Embedded in a Porous Medium","display_name":"General Solutions for Some MHD Motions of Second-Grade Fluids between Parallel Plates Embedded in a Porous Medium","publication_year":2023,"publication_date":"2023-01-08","ids":{"openalex":"https://openalex.org/W4313824113","doi":"https://doi.org/10.3390/sym15010183"},"language":"en","primary_location":{"id":"doi:10.3390/sym15010183","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010183","pdf_url":"https://www.mdpi.com/2073-8994/15/1/183/pdf?version=1674030443","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/1/183/pdf?version=1674030443","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011874946","display_name":"Constantin Fetec\u0103u","orcid":"https://orcid.org/0000-0002-9056-0911"},"institutions":[{"id":"https://openalex.org/I33800924","display_name":"Academia Oamenilor de \u0218tiin\u021b\u0103 din Rom\u00e2nia","ror":"https://ror.org/04ybnj478","country_code":"RO","type":"facility","lineage":["https://openalex.org/I33800924"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Constantin Fetecau","raw_affiliation_strings":["Section of Mathematics, Academy of Romanian Scientists, 050094 Bucharest, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section of Mathematics, Academy of Romanian Scientists, 050094 Bucharest, Romania","institution_ids":["https://openalex.org/I33800924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036213482","display_name":"Dumitru Vieru","orcid":"https://orcid.org/0000-0001-9989-8452"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Dumitru Vieru","raw_affiliation_strings":["Department of Theoretical Mechanics, Technical University of Iasi, 700050 Iasi, Romania"],"raw_orcid":"https://orcid.org/0000-0001-9989-8452","affiliations":[{"raw_affiliation_string":"Department of Theoretical Mechanics, Technical University of Iasi, 700050 Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011874946"],"corresponding_institution_ids":["https://openalex.org/I33800924"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.6069,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79036104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"15","issue":"1","first_page":"183","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9995999932289124,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9995999932289124,"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":0.9983999729156494,"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":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6307675242424011},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5632064342498779},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.560979962348938},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.5192451477050781},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5060977339744568},{"id":"https://openalex.org/keywords/shear-stress","display_name":"Shear stress","score":0.49912595748901367},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4989895820617676},{"id":"https://openalex.org/keywords/shear","display_name":"Shear (geology)","score":0.49386268854141235},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.48691022396087646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46559274196624756},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.43872883915901184},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4375608563423157},{"id":"https://openalex.org/keywords/generalized-newtonian-fluid","display_name":"Generalized Newtonian fluid","score":0.42722564935684204},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4211546778678894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34472647309303284},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.1964351236820221},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.1694963574409485},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.12660178542137146},{"id":"https://openalex.org/keywords/shear-rate","display_name":"Shear rate","score":0.11612668633460999},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.09745797514915466},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.0751863420009613}],"concepts":[{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6307675242424011},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5632064342498779},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.560979962348938},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.5192451477050781},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5060977339744568},{"id":"https://openalex.org/C21141959","wikidata":"https://www.wikidata.org/wiki/Q657936","display_name":"Shear stress","level":2,"score":0.49912595748901367},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4989895820617676},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.49386268854141235},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.48691022396087646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46559274196624756},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.43872883915901184},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4375608563423157},{"id":"https://openalex.org/C51336717","wikidata":"https://www.wikidata.org/wiki/Q5532445","display_name":"Generalized Newtonian fluid","level":4,"score":0.42722564935684204},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4211546778678894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34472647309303284},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.1964351236820221},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.1694963574409485},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.12660178542137146},{"id":"https://openalex.org/C165682214","wikidata":"https://www.wikidata.org/wiki/Q461293","display_name":"Shear rate","level":3,"score":0.11612668633460999},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.09745797514915466},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0751863420009613},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15010183","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010183","pdf_url":"https://www.mdpi.com/2073-8994/15/1/183/pdf?version=1674030443","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:55709839aa58457ab67c4963f803b315","is_oa":false,"landing_page_url":"https://doaj.org/article/55709839aa58457ab67c4963f803b315","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 1, p 183 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/1/183/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15010183","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 15; Issue 1; Pages: 183","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15010183","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010183","pdf_url":"https://www.mdpi.com/2073-8994/15/1/183/pdf?version=1674030443","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4313824113.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1505642766","https://openalex.org/W1968933005","https://openalex.org/W1971996745","https://openalex.org/W1979190051","https://openalex.org/W1990444895","https://openalex.org/W1993928855","https://openalex.org/W1994217305","https://openalex.org/W2000642936","https://openalex.org/W2021647536","https://openalex.org/W2023426750","https://openalex.org/W2039051799","https://openalex.org/W2040751427","https://openalex.org/W2044802158","https://openalex.org/W2060532269","https://openalex.org/W2067757814","https://openalex.org/W2068930846","https://openalex.org/W2095533806","https://openalex.org/W2112835153","https://openalex.org/W2126073557","https://openalex.org/W2146333701","https://openalex.org/W2233607620","https://openalex.org/W2246558470","https://openalex.org/W2963540395","https://openalex.org/W2995738736","https://openalex.org/W3101966430","https://openalex.org/W4296103402","https://openalex.org/W4297009002","https://openalex.org/W4385144128","https://openalex.org/W6689456466","https://openalex.org/W6691144915","https://openalex.org/W6772129037","https://openalex.org/W6854637755"],"related_works":["https://openalex.org/W2485048428","https://openalex.org/W3160947786","https://openalex.org/W4298153546","https://openalex.org/W2952020894","https://openalex.org/W2063184286","https://openalex.org/W2047762351","https://openalex.org/W4242565953","https://openalex.org/W2039195990","https://openalex.org/W2395047876","https://openalex.org/W1979251906"],"abstract_inverted_index":{"General":[0],"solutions":[1,98,129],"are":[2,70,99,179],"established":[3,71],"for":[4,73,101,130],"an":[5,84],"initial":[6],"boundary":[7,178],"value":[8],"problem":[9],"by":[10,55,149],"means":[11],"of":[12,24,91,104,137,140,168],"the":[13,19,50,56,66,74,78,88,105,134,153,161,177],"integral":[14],"transforms.":[15],"They":[16],"correspond":[17],"to":[18,49,65],"isothermal":[20],"MHD":[21],"unidirectional":[22],"motion":[23,132,166],"incompressible":[25,141],"second-grade":[26,142],"fluids":[27,107,143,170],"between":[28],"infinite":[29],"horizontal":[30],"parallel":[31],"plates":[32,58,110],"embedded":[33],"in":[34,42,112],"a":[35],"porous":[36],"medium.":[37],"The":[38,119],"fluid":[39,75],"motion,":[40],"which":[41],"some":[43],"situations":[44],"becomes":[45],"symmetric":[46],"with":[47,115,133,152,157,171],"respect":[48],"median":[51],"plane,":[52],"is":[53],"generated":[54],"two":[57],"that":[59,121],"apply":[60],"time-dependent":[61,117],"arbitrary":[62,116],"shear":[63,81,94,172],"stresses":[64],"fluid.":[67],"Closed-form":[68],"expressions":[69],"both":[72,109,165],"velocity":[76,92,175],"and":[77,93,144],"corresponding":[79],"non-trivial":[80],"stress.":[82],"Using":[83],"important":[85],"remark":[86],"regarding":[87],"governing":[89],"equations":[90],"stress,":[95],"exact":[96,128],"general":[97],"developed":[100],"similar":[102],"motions":[103],"same":[106],"when":[108],"move":[111],"their":[113,145],"planes":[114],"velocities.":[118],"results":[120,159],"have":[122],"been":[123],"obtained":[124],"here":[125],"can":[126],"generate":[127],"any":[131],"technical":[135],"relevance":[136],"this":[138],"type":[139],"correctness":[146],"being":[147],"proved":[148],"comparing":[150],"them":[151],"numerical":[154],"solution":[155],"or":[156,174],"known":[158],"from":[160],"existing":[162],"literature.":[163],"Consequently,":[164],"problems":[167],"these":[169],"stress":[173],"on":[176],"completely":[180],"solved.":[181]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
