Symmetry reduction of reynolds equation and applications to film lubrication

M. L. Abell; W. F. Ames

doi:10.1115/1.2899430

Symmetry reduction of reynolds equation and applications to film lubrication

M. L. Abell, W. F. Ames

Emeriti, Retired, & In Memoriam (COSM)

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Abstract

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. Solutions to the time-dependent equation are found by using the invariance in the time and angular variables only. These solutions, called semi-invariant solutions, are determined through separation of variables.

Original language	English
Pages (from-to)	206-210
Number of pages	5
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	59
Issue number	1
DOIs	https://doi.org/10.1115/1.2899430
State	Published - Mar 1992

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abstract = "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. Solutions to the time-dependent equation are found by using the invariance in the time and angular variables only. These solutions, called semi-invariant solutions, are determined through separation of variables.",

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AB - 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. Solutions to the time-dependent equation are found by using the invariance in the time and angular variables only. These solutions, called semi-invariant solutions, are determined through separation of variables.

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Symmetry reduction of reynolds equation and applications to film lubrication

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