Extended Reynolds lubrication model for incompressible Newtonian fluid

Takeuchi, Shintaro; Gu, Jingchen

Physical Review Fluids, 2019, 4(11), 114101

Number of Access:554（2025-08-16 00:37 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/76916

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Title
Extended Reynolds lubrication model for incompressible Newtonian fluid
Creator
NRID
1000050372628 1000050372628
ORCID
0000-0003-0091-4542 0000-0003-0091-4542
researchmap permalink
50372628 50372628
Scopus Author ID
35474283000 35474283000
CreatorName
Takeuchi, Shintaro
CreatorName
Gu, Jingchen
Description
Shintaro Takeuchi and Jingchen Gu, "Extended Reynolds lubrication model for incompressible Newtonian fluid," Physical Review Fluids, 4, 114101, 2019. https://doi.org/10.1103/PhysRevFluids.4.114101.
The letters and numbers in red on Page 9 were added to the original published version.
Abstract
An extended lubrication model is proposed for improvement of the lubrication theory by taking into account a larger surface-to-surface distance than that for the Reynolds lubrication theory. The analysis shows that when considering the non-negligible pressure gradient in the surface-normal direction, the local pressure is separated into (i) a base component satisfying the Reynolds lubrication theory and (ii) an adjusting component varying in the surface-normal direction, which is found to take the form proportional to the longitudinal derivative of the local velocity of the Couette-Poiseuille flow. Comparison of the results obtained by analytical and numerical methods for the lubrication between a moving curved object and stationary object shows that the proposed lubrication model reproduces the pressure distribution in both wall-normal and longitudinal directions. In a problem of a spherical particle approaching to a plane wall, the hydrodynamic force calculated by the proposed model exhibits an inverse-proportional trend to the surface-tosurface distance. The results suggest extended applicability of the lubrication theory to a non-Reynolds regime.
Publisher
American Physical Society
Source Title
Physical Review Fluids
Volume (Issue)
4(11)
Page
114101
Date of Issued
2019-11-19
Language
English
Handle URL
https://hdl.handle.net/11094/76916
eISSN
2469990X
Relation.isVersionOf
DOI (Publisher Version)
https://doi.org/10.1103/PhysRevFluids.4.114101
Access Rights
open access
CopyRight
©2019 American Physical Society
oaire:version
Accepted Manuscript
Category
学術雑誌論文 Journal Article