Results 141 to 150 of about 359,044 (195)

Extended expansion of the Reynolds equation

Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2002
Principles of a continuously adjustable hydrodynamic bearing concept are outlined and the governing Reynolds equation is given. The equation is non-dimensionalized and expanded taking into account non-uniform variations in the fluid-film thickness. Also given are observations of predicted operating characteristics of one form of the bearing.
J K Martin
exaly   +2 more sources

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
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Symmetry classification and invariance of the Reynolds equation

2022
Summary: In this essay, extensions to the results of Lie symmetry classification of Reynolds equation are proposed. The infinitesimal technique is used to derive symmetry groups of the Reynolds equation. One dimensional optimal system is constructed for symmetry sub-algebras gained through Lie point symmetry.
Nadjafikhah, Mehdi, Yourdkhany, Maryam
openaire   +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., Wei, G. W., Kouri, D. J., Hoffmann, D. K.   +3 more
openaire   +2 more sources

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

On The Asymptotic Solution of The Reynolds Equation

SIAM Journal on Applied Mathematics, 1978
For, flow at high bearing numbers $\Lambda $, and under suitable physical hypotheses, the problem of determining the pressure distribution in a thin gas film becomes a singular perturbation problem as $\Lambda \to \infty $. We show that, under certain conditions, this problem has a unique solution in a given class.
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Historical Note on the Stefan–Reynolds Equations

Journal of Colloid and Interface Science, 2000
We comment on the theory on the dynamics of fluid films confined between parallel surfaces established by Stefan and Reynolds over a centry ago. From a historical perspective, the established theory (often referred to as the lubrication approximation) and the derived equations, as used in colloid science, are to be correctly attributed to both Stefan ...
openaire   +4 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