dc.creator | Anguiano Moreno, María | es |
dc.creator | Suárez Grau, Francisco Javier | es |
dc.date.accessioned | 2019-02-19T08:03:48Z | |
dc.date.available | 2019-02-19T08:03:48Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Anguiano Moreno, M. y Suárez Grau, F.J. (2019). Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary. IMA Journal of Applied Mathematics, 84 (1), 63-95. | |
dc.identifier.issn | 0272-4960 | es |
dc.identifier.issn | 1464-3634 | es |
dc.identifier.uri | https://hdl.handle.net/11441/83194 | |
dc.description.abstract | We consider a non-Newtonian fluid flow in a thin domain with thickness ηε and an oscillating top boundary of period ε. The flow is described by the 3D incompressible Navier-Stokes system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index p, with 9/5 < p < +∞.
We consider the limit when the thickness tends to zero and we prove that the three characteristic regimes for Newtonian fluids are still valid for non-Newtonian fluids, i.e. Stokes roughness (ηε ≈ ε), Reynolds roughness (ηε << ε) and high-frequency roughness (ηε >> ε) regime. Moreover, we obtain different nonlinear Reynolds-type equations in each case. | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Oxford University Press | es |
dc.relation.ispartof | IMA Journal of Applied Mathematics, 84 (1), 63-95. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Non-Newtonian flow | es |
dc.subject | Reynolds equation | es |
dc.subject | Thin fluid films | es |
dc.title | Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | P12-FQM-2466 | es |
dc.relation.projectID | MTM2014-53309-P | es |
dc.relation.publisherversion | https://watermark.silverchair.com/hxy052.pdf?token=AQECAHi208BE49Ooan9kkhW_Ercy7Dm3ZL_9Cf3qfKAc485ysgAAAlkwggJVBgkqhkiG9w0BBwagggJGMIICQgIBADCCAjsGCSqGSIb3DQEHATAeBglghkgBZQMEAS4wEQQMEiDce15p9d_TXGxQAgEQgIICDIAU6LnlphaCGnt5VUEYARtZGEB2mryNnAYSytqcd28xZvvhBDiTSoOftj5kKORI-zsC1cfsmvI4NQIaJ1lLmEHAceyi6mekaZzFAZblwcasOEVOywvQYv_CzzPADXJjr77PD6yYEBBwg1Hq8C6FudeClobUERyHay7_H_JEAyECsAit8ViaHuEwaXioZIiFgqUPY7UzVTdIHLL5nPMLmjEsxXnZerOwXQ5ziXPDxNwuBLXHKgqMmYDrllSD9GMkIdz_QGTpKLP_ViCbxyLvmmATVBr-fxT7GQyXWQVs2kqUI5pn0IW84w95AadRUz9386wblJ_p894aGcme6_l_M9XNn3N0aHuS-E_lLRcmtuRR5dUXJaRlMUxeJDsq_XWBRhIVJfMNbbaIxQ56IqmtYpc7mrWvAH5Xc-AAQkED29ETLmSdPrg1LuLuWB71DrwtVuHtqqHvgg8Y-GbcuaXirb9-Vs_Fc9mFmI3dSKXwreX0mQp5mr5wJomv4eUF9ISOVGFeHV5AT6L6Hx4J56AV9c7QObHvurJJEutNWO_-wHl_pGrE_mORXevGBgXoMdR4ikHzyBkeW9buDmOZnTN1TsZKe1ChUiLLCvQUpu4k05L2bFtsNpfUoOOrQrvLER78UyySRMSTH27qD7AkTgTaiSdd05gpNumM7Dw8A1XXgJMMHWkxcYpFqlge88fm | es |
dc.identifier.doi | 10.1093/imamat/hxy052 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Análisis Matemático | es |
idus.format.extent | 31 p. | es |
dc.journaltitle | IMA Journal of Applied Mathematics | es |
dc.publication.volumen | 84 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 63 | es |
dc.publication.endPage | 95 | es |
dc.contributor.funder | Junta de Andalucía | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |