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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 ArticleDOI
TL;DR: In this article, a model based on a combination of lubrication theory and capillary effects is developed to predict the shape and pressure drop of long bubbles flowing in circular tubes in pressure-driven flows.
Abstract: A model based on a combination of lubrication theory and capillary effects (ignoring inertial effects and gravity) is developed to predict the shape and pressure drop of long bubbles flowing in circular tubes in pressure-driven flows. An analytical solution for the thickness of the wetting film left on the tube wall as a function of the Capillary number (the ratio between viscous effects and surface tension) was derived by Klaseboer et al. (Phys Fluids 26:032107, 2014), which considerably extends the original result of Bretherton (J Fluid Mech 10:166–188, 1961) and confirms the empirical law of Aussillous and Quere (Phys Fluids 12:2367–2371, 2000). It is based on a crucial condition that requires that the bubble must fit inside the tube. An extension of this formulation allows for an analytical expression of the pressure drop across the bubble by applying the tube fit condition for the front and the back of the bubble and a force balance. The complete shape of the bubble can then be obtained numerically by applying boundary conditions at the tube centre. The interesting physics occurring at the back of the bubble is also investigated. A theoretical condition for the minimal length of such a bubble is given. Comparisons with experimental and numerical data for the shape of the bubble, pressure drop and curvature at the front and rear of the bubble for small to intermediate Capillary numbers give excellent agreement.

27 citations

Journal ArticleDOI
TL;DR: In this paper, a simplified model of one-dimensional thin films of viscous fluids on hydrophobic substrates was studied and the masses and positions of the droplets can be described by a coarsening dynamical system (CDS) consisting of ODEs and deletion rules.

27 citations

Journal ArticleDOI
TL;DR: The results suggest that in the regime of shear rates relevant to printing, mechanisms of emulsification of one liquid into the other can be understood without incorporating shear.

26 citations

Journal ArticleDOI
TL;DR: In the limit of large surface viscosity, the evolution of the free surface is that obtained for the tangentially immobile case and it is verified that increasing surface Viscosity and the Marangoni effect retard drainage, thereby enhancing film stability.

26 citations


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