学術雑誌論文

学術雑誌論文

text

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

Extended Reynolds lubrication model for incompressible Newtonian fluid

American Physical Society

英語

text

2019-11-19

https://doi.org/10.1103/PhysRevFluids.4.114101

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.

©2019 American Physical Society

76916

Extended Reynolds lubrication model for incompressible Newtonian fluid

American Physical Society

英語

2019-11-19

Physical Review Fluids

4

11

114101

https://doi.org/10.1103/PhysRevFluids.4.114101

https://hdl.handle.net/11094/76916