Results 231 to 240 of about 1,736,976 (282)

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 ...
A V Nguyen
exaly   +5 more sources

Reynolds Equation for Spherical Bearings

open access: yesJournal of Tribology, 2002
Osborne Reynolds’ classical paper on the theory of lubrication Reynolds (1886) produced the generalized Reynolds equation. For spherical bearing applications, the generalized Reynolds equation is transformed in order to obtain useful results when the hemispherical shell is not in a horizontal position. A new film thickness expression is also presented.
Meyer, Donna
openaire   +3 more sources

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 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

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.   +3 more
openaire   +2 more sources

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