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Thermal-Hydraulic Performance Optimization of Open Microchannel Heat Sinks with Integrated Front Triangular Ribs and Secondary Channels. [PDF]
Gong J, Pan Z.
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Eigenspace-based reinforcement learning acceleration of statistical convergence in turbulent flows.
Masclans N, Jofre L.
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Historical Note on the Stefan–Reynolds Equations
Journal of Colloid and Interface Science, 2000We 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
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Reynolds Equation for Spherical Bearings
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
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Extended expansion of the Reynolds equation
Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2002Principles 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.
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On the derivation of Reynolds equation
Wear, 1962The 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
2022Summary: 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, 1997Burgers’ 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
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