scispace - formally typeset
Search or ask a question
Topic

Lubrication theory

About: Lubrication theory is a research topic. Over the lifetime, 1713 publications have been published within this topic receiving 50261 citations. The topic is also known as: Fluid bearing.


Papers
More filters
Journal ArticleDOI
01 Nov 2013-EPL
TL;DR: In this paper, the authors study the dynamics of a pendant water drop in air that contacts a substrate coated by thin oil films and measure the waiting time for the rupture as a function of the drop equilibrium contact angle on a dry substrate and the initial film height.
Abstract: Liquid infiltrated solids have been proposed as functional solvent-phobic surfaces for handling single and multiphase flows. Implementation of such surfaces alters the interfacial transport phenomenon as compared to a dry substrate. To better understand the interface characteristics in such systems we study experimentally the dynamics of a pendant water drop in air that contacts a substrate coated by thin oil films. At short times the water drop is deformed by the oil that spreads onto the water-air interface, and the dynamics are characterized by inertial and viscous regimes. At late times, the the oil film under the drop relaxes either to a stable thin film or ruptures. In the thin film rupture regime, we measure the waiting time for the rupture as a function of the drop equilibrium contact angle on a dry substrate and the initial film height. The waiting time is rationalized by lubrication theory, which indicates that long-range intermolecular forces destabilize the oil-water interface and is the primary mechanism for the film drainage.

90 citations

Journal ArticleDOI
TL;DR: In this paper, the main parameters that affect the propagation of a fluid driven-fracture in a poroelastic medium were investigated, and the fracture results from the pumping of an incompressible Newtonian viscous fluid at the fracture inlet and the flow in the fracture is modelled by the lubrication theory.
Abstract: This paper investigates the main parameters that affect the propagation of a fluid driven-fracture in a poroelastic medium. The fracture results from the pumping of an incompressible Newtonian viscous fluid at the fracture inlet, and the flow in the fracture is modelled by the lubrication theory. Rock deformation is assumed as porous-elastic. Leak-off in the host rock is considered to account for the diffusion effects in the surrounding formation. The propagation criterion is of the cohesive type. Finite element analysis was performed to compute the fracturing pressure and fracture dimensions as a function of the time and length. It was found that higher pressures are needed to extend a fracture in a poroelastic medium than in an elastic medium, and the created profiles of poroelastic fracture are wider. It was found that grain compressibility plays a minor role and does not result any significant difference in the fluid pressures and fracture dimensions. Wider fracture profiles are obtained with ...

89 citations

Journal ArticleDOI
TL;DR: In this paper, a chemical-mechanical planarization (CMP) model based on lubrication theory is developed which accounts for pad compressibility, pad porosity and means of slurry delivery.

89 citations

Journal ArticleDOI
TL;DR: In this article, a modified Bingham model with two viscosities was derived by a systematic perturbation analysis, and the controlling parameters were found to be the Reynolds number R, the shallowness ratio h/L=δ 1/2, and β=ν/ν1 [as defined in (45)].
Abstract: A model that can approximately describe a non‐Newtonian fluid such as paint and fluid mud is a Bingham plastic with a yield stress. To facilitate the study of slow but transient spreading of a thin sheet of fluid mud, we need the approximate equations governing the nonlinear motion. Beginning with a modified Bingham model with two viscosities, the approximate equations are derived by a systematic perturbation analysis. The controlling parameters are found to be the Reynolds number R, the shallowness ratio h/L=δ1/2, and the ratio of viscosities β=ν/ν1 [as defined in (45)]. Results valid for R,β,δ≪1 but δ/β2≤O(1) are obtained. In the special case when δ/β2≪1, the limits can also be obtained by heuristic arguments similar to those in the lubrication theory. Two examples are discussed.

89 citations

Journal ArticleDOI
11 Apr 2014-Langmuir
TL;DR: This work uses lubrication theory to derive an evolution equation for the interface that accounts for capillarity and thermocapillarity, and simulates the spreading of droplets of fluids whose surface tension-temperature curves exhibit a turning point.
Abstract: We study the thermocapillary-driven spreading of a droplet on a nonuniformly heated substrate for fluids associated with a non-monotonic dependence of the surface tension on temperature. We use lubrication theory to derive an evolution equation for the interface that accounts for capillarity and thermocapillarity. The contact line singularity is relieved by using a slip model and a Cox-Voinov relation; the latter features equilibrium contact angles that vary depending on the substrate wettability, which, in turn, is linked to the local temperature. We simulate the spreading of droplets of fluids whose surface tension-temperature curves exhibit a turning point. For cases wherein these turning points correspond to minima, and when these minima are located within the droplet, then thermocapillary stresses drive rapid spreading away from the minima. This gives rise to a significant acceleration of the spreading whose characteristics resemble those associated with the "superspreading" of droplets on hydrophobic substrates. No such behavior is observed for cases in which the turning point corresponds to a surface tension maximum.

89 citations


Network Information
Related Topics (5)
Reynolds number
68.4K papers, 1.6M citations
81% related
Laminar flow
56K papers, 1.2M citations
78% related
Turbulence
112.1K papers, 2.7M citations
76% related
Viscosity
53.6K papers, 1M citations
75% related
Vortex
72.3K papers, 1.3M citations
75% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202325
202265
202155
202062
201970
201864