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An approximate solution for the Reynolds differential equation of hydrodynamic lubrication

International Journal of Mathematical Education in Science and Technology, 1990
The Reynolds differential equation for hydrodynamic lubrication permits determination of the pressure field under a flat rectangular pad moving over a lubricated plane surface. Even for this simple geometry, and lubricant with constant properties, there is not an exact solution for the Reynolds equation.
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New Continuous Model of Reynolds Equation for Gas Film Lubrication

Advanced Materials Research, 2010
Started from a widely used FK model of Reynolds equation, a new simplified model, called continuous FK (CFK) model, is proposed to simulate the ultra-thin air bearing film in hard disk drives (HDDs). The new model of Reynolds equation possesses simpler mathematical form than that of FK model.
Jia Dong Ji   +3 more
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Exact solutions of non-linear Reynolds' gas lubrication equations

Wear, 1976
Abstract The Reynolds second order non-linear differential equation, which governs the pressure distribution between two non-parallel surfaces in relative motion constituting a gas slider bearing system, contains a parameter ϵ and a function h(x) describing the bearing geometry.
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Generalized Reynolds and integrated energy equations for fluid-film lubrication

International Journal of Non-Linear Mechanics, 1981
Abstract A generalized form of Reynolds equation governing pressure distribution and an integrated form of energy equation in the fluid-film between porous bounding walls has been developed from fundamental equations of thermohydrodynamics with a minimum number of restricting assumptions and slip conditions.
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Correctors for Reynolds equation describing the process of lubrication of a rotating shaft

2000
We study the lubrication process of a slipper bearing. A circular shaft of radius $R$ and length $l$ rotates on lubricated (not perfectly smooth) support with constant angular velocity $\omega$. In the thin domain $\Ce $ between the shaft and the support (where $\varepsilon \ll l$ stands for its thickness ) a viscous incompressible fluid (lubricant) is
Duvnjak, Antonija   +1 more
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On lower-dimensional models in lubrication, Part A: Common misinterpretations and incorrect usage of the Reynolds equation

Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2021
Andreas Almqvist   +2 more
exaly  

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