Publication
Lubrication approximation for fluids with shear-dependent viscosity
| dc.contributor.author | Pereira, Bruno M. M. | |
| dc.contributor.author | Dias, Gonçalo A. S. | |
| dc.contributor.author | Cal, Filipe S. | |
| dc.contributor.author | Rajagopal, Kumbakonam R. | |
| dc.contributor.author | Videman, Juha H. | |
| dc.date.accessioned | 2019-07-30T08:43:43Z | |
| dc.date.available | 2019-07-30T08:43:43Z | |
| dc.date.issued | 2019-06 | |
| dc.description.abstract | We present dimensionally reduced Reynolds type equations for steady lubricating flows of incompressible non-Newtonian fluids with shear-dependent viscosity by employing a rigorous perturbation analysis on the governing equations of motion. Our analysis shows that, depending on the strength of the power-law character of the fluid, the novel equation can either present itself as a higher-order correction to the classical Reynolds equation or as a completely new nonlinear Reynolds type equation. Both equations are applied to two classic problems: the flow between a rolling rigid cylinder and a rigid plane and the flow in an eccentric journal bearing. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | PEREIRA, Bruno M. M.; [et al] – Lubrication approximation for fluids with shear-dependent viscosity. Fluids. ISSN 2311-5521. Vol. 4, N.º 2 (2019), pp. 1-17 | pt_PT |
| dc.identifier.doi | 10.3390/fluids4020098 | pt_PT |
| dc.identifier.issn | 2311-5521 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/10387 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | MDPI | pt_PT |
| dc.relation | UTAP-EXPL/MAT/0017/2017 - FCT | pt_PT |
| dc.subject | Power-law fluid | pt_PT |
| dc.subject | Shear-dependent viscosity | pt_PT |
| dc.subject | Reynolds equation | pt_PT |
| dc.subject | Lubrication approximation | pt_PT |
| dc.title | Lubrication approximation for fluids with shear-dependent viscosity | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/SFRH/SFRH%2FBPD%2F70578%2F2010/PT | |
| oaire.citation.endPage | 17 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Fluids | pt_PT |
| oaire.citation.volume | 4 | pt_PT |
| oaire.fundingStream | SFRH | |
| person.familyName | Pereira | |
| person.givenName | Bruno | |
| person.identifier.orcid | 0000-0001-9269-8335 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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