Results 211 to 220 of about 25,118 (262)

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
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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
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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
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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.
exaly   +2 more sources

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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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.
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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 ...
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Existence of solutions to the Reynolds' equation of elastohydrodynamic lubrication

International Journal of Engineering Science, 1985
The authors have proved some theorems establishing the existence of solutions to a highly nonlinear variational inequality arising in the study of the flow of an incompressible Newtonian lubricant between elastically - deforming bearings. The problem is formally equivalent to Reynolds equation in elastohydrodynamic lubrication theory.
Oden, J. T., Wu, S. R.
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Homogenization of the transient Reynolds equation

Asymptotic Analysis, 2002
State‐of‐the‐art magnetic storage devices have head‐to‐disk distances of about 300 Angstrom, for which compressibility, slip‐flow and roughness effects are significant. Since the head and the disk are in relative motion, the air‐gap thickness when both surfaces are rough varies rapidly in both space and time.
Buscaglia, G., Ciuperca, I., Jai, M.
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