Results 1 to 10 of about 88,133 (255)
On the reynolds lubrication equation [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 1988 Let \(\Omega\) be a bounded open set in \(R^ 2\) with ``smooth'' boundary \(\partial \Omega\). \(\Omega\) is the region where two solid bodies are in contact. These two solids are moving and the average of their velocities is denoted by \(V=(V_ 1,V_ 2)\).
M. Chipot
openaire +2 more sources
Formulation of the Reynolds equation on a time-dependent lubrication surface [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2016 The Reynolds equation, which describes the lubrication effect arising through the interaction of two physical surfaces that are separated by a thin fluid film, is formulated with respect to a continuously evolving third surface that is described by a time-dependent curvilinear coordinate system.
İ. Temizer, S. Stupkiewicz
openaire +6 more sources
Nonlinear Reynolds equation for hydrodynamic lubrication [PDF]
Applied Mathematical Modelling, 2015 We derive a novel and rigorous correction to the classical Reynolds lubrication approximation for fluids with viscosity depending upon the pressure. Our analysis shows that the pressure dependence of viscosity leads to additional nonlinear terms related to the shear-rate and arising from a non negligible cross-film pressure.
Stenberg, Rolf +3 more
openaire +4 more sources
The Compressible Reynolds Lubrication Equation [PDF]
, 1987 We give a general derivation of the Reynolds lubrication equation. We then state and sketch the proofs of some of the authors’ recent results concerning the existence, uniqueness, and qualitative behavior of solutions to the compressible Reynolds lubrication equation. Finally, we give an application of our results to a problem in elastohydrodynamics.
Chipot, M, Luskin, M
openaire +3 more sources
Existence and Uniqueness of Solutions to the Compressible Reynolds Lubrication Equation [PDF]
SIAM Journal on Mathematical Analysis, 1986 Summary: We prove the existence of a solution to the compressible Reynolds lubrication equation and we show that our solution is unique in the class of nonnegative solutions (under some additional hypotheses, we prove that our solution is unique among all weak solutions).
Chipot, M, Luskin, M
openaire +3 more sources
A Multicoefficient Slip-Corrected Reynolds Equation for Micro-Thin Film Gas Lubrication [PDF]
International Journal of Rotating Machinery, 2005 This work investigates and analyzes the performance of conventional slip models among various regimes of Knudsen number and developes a new multicoefficient slip-velocity model, by using Taguchi quality control techniques and numerical analysis.
Eddie Yin-Kwee Ng, Ningyu Liu
doaj +3 more sources
Micro Lubrication and Heat Transfer in Wedge-Shaped Channel Slider with Convex Surface Texture Based on Lattice Boltzmann Method [PDF]
NanomaterialsHydrodynamic lubrication is widely used between two relatively moving objects, and the effect of fluid flow state and temperature distribution on lubrication performance in wedge-shaped gaps is a popular topic to study.
Jinwei Fang +3 more
doaj +2 more sources
An exact analytical solution for the second order slip-corrected Reynolds lubrication equation [PDF]
FME Transactions, 2015 We derive a general slip-corrected compressible Reynolds lubrication equation, valid for any choice of the slip velocities, and show that it possesses the exact analytical solution.
Stevanović Nevena D. +1 more
doaj +2 more sources
Solution of Reynolds lubrication equation on evolving surfaces
Keldysh Institute Preprints, 2020 Elizaveta Vyacheslavovna Zipunova +2 more
openaire +2 more sources
CFD Investigation of Reynolds Flow around a Solid Obstacle
Lubricants, 2022 The Reynolds equation defines the lubrication flow between the smooth contacting parts. However, it is questionable that the equation can accurately anticipate pressure behavior involving undeformed solid asperity interactions that can occur under severe
Ruchita Patel +3 more
doaj +1 more source