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Derivation of the Reynolds equation in cylindrical coordinates applicable to the slipper/swash plate interface in axial piston pumps

, 2021
Although many tribology references have presented the Reynolds equation in cylindrical coordinates, they may not be applicable to the slipper/swash plate interface in axial piston pumps due to complex macro and micro motions of slippers.
Qun Chao
semanticscholar   +1 more source

A Nonlinear Version of the Reynolds Equation for Flow in Rock Fractures With Complex Void Geometries

Water Resources Research, 2020
This study presents a nonlinear Reynolds equation (NRE) for single‐phase flow through rock fractures. The fracture void geometry is formed by connected wedge‐shaped cells at pore scale, based on the measured aperture field.
Zhihe Wang   +4 more
semanticscholar   +1 more source

A new model for textured surface lubrication based on a modified Reynolds equation including inertia effects

Tribology International, 2019
For textured surface lubrication problems, a small texture aspect ratio and a large Reynolds number can lead to strong recirculation in the textures and significant convective inertia effects. When these effects cannot be neglected, the Stokes system and
M. Rom, S. Müller
semanticscholar   +1 more source

Burgers’ equation with high Reynolds number

Physics of Fluids, 1997
Burgers’ equation, involving very high Reynolds numbers, is numerically solved by using a new approach based on the distributed approximating functional for representing spatial derivatives of the velocity field. For moderately large Reynolds numbers, this simple approach can provide very high accuracy while using a small number of grid points.
Zhang, D. S.   +3 more
openaire   +2 more sources

Dynamic coefficients and stability analysis of a water-lubricated hydrostatic bearing by solving the uncoupled Reynolds equation

, 2019
This paper concerns the dynamic characteristics of incompressible laminar flow hydrostatic bearings. An improved method based on the mathematical perturbation technique for calculating the stiffness and damping coefficients of hydrostatic bearings is ...
Jialei Du, Guozhu Liang
semanticscholar   +1 more source

Reynolds Equations for Common Generalized Newtonian Models and an Approximate Reynolds-Carreau Equation

World Tribology Congress III, Volume 1, 2005
Exact, closed form one-dimensional Reynolds equations are presented for the Ostwald-DeWaele model, Ellis model, Spriggs model and the double-Newtonian Rabinowitsch and Ferry models. From numerical solutions for flow rate, an approximate Reynolds-Carreau equation is obtained.
S Bair, M. M. Khonsari
openaire   +1 more source

An analytical solution of Reynolds equation for evaluating the characteristics of surface textured bearing

Industrial Lubrication and Tribology, 2019
Purpose Currently, there is a lack of fast and highly accurate on analytical solution of Reynolds equation for evaluating the characteristics of surface textured bearing. This paper aims to develop such an analytical solution of Reynolds equation for an
Yazhou Mao   +4 more
semanticscholar   +1 more source

On the derivation of Reynolds equation

Wear, 1962
The complete Reynolds Equation in 3-dimensions is derived by three methods which differ basically in the way in which the continuity condition is applied. The apparent divisions of the mechanisms of hydro-dynamic lubrication which are suggested by these derivations, such as “wedge,” “squeeze” terms etc. are compared and it is shown that such a division
A. CAMERON, W.G. ROBERTSON
openaire   +2 more sources

Modeling of the Reynolds Stress Transport Equation

AIAA Journal, 1997
An empirical strategy for improving modeling of the energy dissipation rate e ij and the velocity-pressure gradient Π ij terms in the transport equations for the Reynolds stresses is proposed on the basis of available direct numerical simulations of the turbulent boundary layer and fully developed turbulent channel flow.
Djenidi, L., Antonia, R. A.
openaire   +2 more sources

Some Exact Solutions of Reynolds Equation

Journal of Tribology, 1995
In order to check the numerical analysis of Reynolds equation for gas lubricated bearings, it is desirable to have available exact analytical solutions. This note outlines the construction of some exact, two-dimensional, transient solutions for this purpose.
M. Anaya-Dufresne, G. B. Sinclair
openaire   +1 more source

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