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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.


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Journal Article
TL;DR: This work derives the minimal set of equations containing inertial effects in this strongly dissipative regime for a thin fluid film with a free boundary and its other interface in contact with a solid wall.
Abstract: Thin fluid films can have surprising behavior depending on the boundary conditions enforced, the energy input and the specific Reynolds number of the fluid motion. Here we study the equations of motion for a thin fluid film with a free boundary and its other interface in contact with a solid wall. Although shear dissipation increases for thinner layers and the motion can generally be described in the limit as viscous, inertial modes can always be excited for a sufficiently high input of energy. We derive the minimal set of equations containing inertial effects in this strongly dissipative regime.

35 citations

Journal ArticleDOI
TL;DR: In this article, the authors derive the rigid plug equation using an integral approach based on Newton's second law, where the unyielded part is treated as an evolving non material volume.
Abstract: In this paper we present a novel approach for modelling the lubrication flow of a Bingham fluid in a channel whose amplitude is non uniform. The novelty consists in deriving the rigid plug equation using an integral approach based on Newton’s second law, where the unyielded part is treated as an evolving non material volume. Such an approach leads to an integro-differential equation for the pressure that can be solved with an iterative procedure. We prove that a true unyielded plug exists even when the maximum width variation is not “small” and we find constraints on the amplitude of the channel that prevent the plug from “breaking”. We also extend our model to the case of a pressure-dependent viscosity.

35 citations

Journal ArticleDOI
P.S. Lingard1
TL;DR: Evidence has been obtained for the elastohydrodynamic behaviour of erythrocytes traversing capillary pores of 7 μm diam and it appears that in the lowest velocity range (0–0.25 mm·sec−1), ery throatcytes maintain an effectively constant separation from the capillary wall.

35 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the dam-break problem for Herschel-Bulkley fluids and compared three models of increasing complexity: the kinematic wave model, an advection diffusion model (lubrication theory), and the one-layer Saint-Venant equations.

35 citations

Journal ArticleDOI
TL;DR: In this article, the authors examine the prescribed time-dependent motion of a rigid particle (a sphere or a cylinder) moving in a viscous fluid close to a deformable wall.
Abstract: We examine the prescribed time-dependent motion of a rigid particle (a sphere or a cylinder) moving in a viscous fluid close to a deformable wall. The fluid motion is described by a nonlinear evolution equation, derived using lubrication theory, which is solved using numerical and asymptotic methods; a local linear pressure-displacement model describes the wall. When the particle moves from rest towards the wall, fluid trapping beneath the particle leads to an overshoot in the normal force on the particle; a similarity solution is used to describe trapping at early times and a multiregion asymptotic structure describes fluid draining at late times. When the particle is pulled from rest away from the wall, a peeling process (described by a quasi-steady travelling wave) determines the rate at which fluid can enter the growing gap between the particle and the wall, leading to a transient adhesive normal force. When a cylinder moves from rest transversely over the wall, transient peeling motion is again observed (especially when the wall is initially indented), giving rise to an overshoot in the transverse drag. Simulations for a translating sphere show highly nonlinear wall deformations characterized by a localized crescent-shaped ridge. Despite generating sharp transient deformations, we found no numerical evidence of finite-time choking events.

35 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202325
202265
202155
202062
201970
201864