Nonlinear Reynolds equation for hydrodynamic lubrication [PDF]
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.
Tom Gustafsson +2 more
exaly +3 more sources
Formulation of the Reynolds equation on a time-dependent lubrication surface [PDF]
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.
I Temizer, S Stupkiewicz
exaly +6 more sources
Existence and Uniqueness of Solutions to the Compressible Reynolds Lubrication Equation [PDF]
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). We also prove the strong result that the mapping from the boundary data to the solution is
Michel Chipot, Mitchell Luskin
exaly +3 more sources
On special solutions of the Reynolds equation from lubrication
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicolae Popa
exaly +3 more sources
Derivation of the Reynolds type equation with memory effects, governing transient flow of lubric [PDF]
In this paper we derive the Reynolds type lubrication equation with memory effects for lubrication of a rotating shaft. Starting from the nonstationary Stokes equations and using the asymptotic expansion we obtain a law that is nonlocal in time and gives
Antonija Duvnjak
core +5 more sources
Micro Lubrication and Heat Transfer in Wedge-Shaped Channel Slider with Convex Surface Texture Based on Lattice Boltzmann Method [PDF]
Hydrodynamic 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
CFD Investigation of Reynolds Flow around a Solid Obstacle
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
Warship always face the threat of underwater explosion shock, which may affect the ship stern tube bearing lubrication performance when the propeller shaft is bending.
Junchao Zhu +5 more
doaj +1 more source
The Compressible Reynolds Lubrication Equation [PDF]
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 +2 more sources
Numerical calculation and experimental study on friction and lubrication of Stirling engine piston ring [PDF]
To solve the practical problem of Stirling engine piston ring, numerical model on friction and lubrication were established based on average Reynolds equation theory.
Songjian Li +3 more
doaj +1 more source

