Results 181 to 190 of about 16,649 (214)

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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Solvability of the Reynolds Equation of Gas Lubrication

Journal of Mathematical Sciences, 2001
The first boundary-value problem for the Reynolds equation of the theory of gas lubrication with smooth data is studied. The existence and uniqueness of a solution are established. Bibliography: 7 titles.
B. S. Grigor'ev, S. V. Lupulyak, Yu. K. Shinder   +2 more
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Symmetry Reduction of Reynolds Equation and Applications to Film Lubrication

Journal of Applied Mechanics, 1992
A symmetry reduction using a one-parameter spiral group is performed on a Reynolds equation in order to analyze this equation arising in the study of film lubrication. Approximate solutions are found for the time-independent case-both numerically and by the method of perturbation.
Abell, M. L., Ames, W. F.
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Generalized Reynolds Equation for Solid-Liquid Lubricated Bearings

Journal of Applied Mechanics, 1994
The continuum theory of mixture was employed to derive a generalized form of the Reynolds equation for the lubrication problems involving lubricants that contain solid particles. The derivation of the governing equations and the boundary conditions are presented. The governing equations are two coupled partial differential equations that must be solved
Dai, F., Khonsari, M. M.
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Isogeometric analysis of Reynolds equation for hydrodynamic lubrication

2017 International Conference on Advances in Mechanical, Industrial, Automation and Management Systems (AMIAMS), 2017
This paper proposes exact geometry based Isogeometric analysis (IGA) to solve Reynolds equation for pressure distribution in hydrodynamic lubrication. The proposed methodology is established for hydrodynamic lubrication of thrust pad bearing, considering both infinitely wide thrust pad bearing and finite thrust pad bearing. The methodology is validated
Subrata Kumar Mondal, Hari K. Voruganti, Syed Ismail   +2 more
openaire   +1 more source

An Analysis of the Method of Lines for the Reynolds Equation in Hydrodynamic Lubrication

SIAM Journal on Numerical Analysis, 1981
The Reynolds equation for a hydrodynamic journal bearing is discretized with the method of lines. A continuous analogue of the line SOR iteration is set up to solve the resulting free multipoint system of ordinary differential equations via a sequence of one-dimensional free boundary problems. It is shown that each one-dimensional problem can be solved
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A Chebyshev Spectral Collocation Method for the Solution of the Reynolds Equation of Lubrication

Journal of Computational Physics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raad, P. E., Karageorghis, Andreas, Raad, P. E., Karageorghis, Andreas   +3 more
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Nonlinear reynolds equation for lubrication of a rapidly rotating shaft

Applicable Analysis, 2000
Using the homogenization theory, we derive the nonlinear Reynolds equation governing the process of lubrication of a slipper bearing with rapidly rotating shaft. We prove that this nonlinear lubrication law is an approximation of the full Navier--Stokes equations in a thin cylinder with periodic roughness.
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A local discontinuous Galerkin method for the compressible Reynolds lubrication equation

Applied Mathematics and Computation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iñigo Arregui, J. Jesús Cendán, María González   +2 more
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Construction of an asymptotic Reynolds gas lubrication equation

Fluid Dynamics, 1991
We have derived an asymptotic equation free of limitations on both the macrogeometry of the bearing and on its periodic microgeometry, without having to make additional physical assumptions.
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