On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates
In this paper the effect of surface roughness on squeeze film lubrication between circular stepped plates is analysed. The modified non-linear averaged Reynolds type equation is derived on the basis of Christensen’s stochastic theory for rough surfaces ...
Neminath Bujappa Naduvinamani +2 more
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Weak-inertial flow between two rough surfaces [PDF]
“Oseen–Poiseuille” equations are developed from an asymptotic formulation of the three-dimensional Navier–Stokes equations in order to study the influence of weak inertia on flows between rough surfaces.
Bergeon, Alain +2 more
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This study proposes a mathematical expression for the high-viscosity surface layer generated by the confinement of a lubricant film, which is evident in engine oil with a metallic detergent additive.
Kyosuke Ono
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Sedimentation and Flow Through Porous Media: Simulating Dynamically Coupled Discrete and Continuum Phases [PDF]
We describe a method to address efficiently problems of two-phase flow in the regime of low particle Reynolds number and negligible Brownian motion. One of the phases is an incompressible continuous fluid and the other a discrete particulate phase which ...
A. J. C. Ladd +44 more
core +1 more source
Application of physics-informed neural network in the analysis of hydrodynamic lubrication
The last decade has witnessed a surge of interest in artificial neural network in many different areas of scientific research. Despite the rapid expansion in the application of neural networks, few efforts have been carried out to introduce such a ...
Yang Zhao +2 more
doaj +1 more source
Propulsion Mechanisms for Leidenfrost Solids on Ratchets [PDF]
We propose a model for the propulsion of Leidenfrost solids on ratchets based on viscous drag due to the flow of evaporating vapor. The model assumes pressure-driven flow described by the Navier-Stokes equations and is mainly studied in lubrication ...
Baier, Tobias +4 more
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Analysis of the Reynolds Equation for Lubrication in Case of Pressure-Dependent Viscosity [PDF]
We study the Reynolds equation, describing the ow of a lubricant, in case of pressure-dependent viscosity. First we prove the existence and uniqueness of the solution. Then, we study the asymptotic behavior of the solution in case of periodic roughness via homogenization method. Some interesting nonlocal effects appear due to the nonlinearity.
Marušić-Paloka, Eduard +1 more
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Establishment and Numerical Analysis of Lubrication Model of Double Involute Gear
The purpose of this paper is to derive the simplified elastohydrodynamic (EHD) lubrication model of the double involute gear (DIG) and study the effect of the segmented tooth waist on the lubricating properties of DIG.
Fan Zhimin, Xu Jun
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Averaged Reynolds Equation for Flows between Rough Surfaces in Sliding Motion [PDF]
The flow between rough surfaces in sliding motion with contacts between these surfaces, is analyzed through the volume averaging method. Assuming a Reynolds (lubrication) approximation at the roughness scale, an average flow model is obtained combining ...
Letalleur, Nicolas +2 more
core +2 more sources
Derivation of the Reynolds equation for lubrication of a rotating shaft [PDF]
In this paper, using the asymptotic expansion, we prove that the Reynolds lubrication equation is an approximation of the full Navier– Stokes equations in thin gap between two coaxial cylinders in relative motion. Boundary layer correctors are computed. The error estimate in terms of domain thickness for the asymptotic expansion is given. The corrector
Duvnjak, Antonija +1 more
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