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

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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

Scopus Subject Areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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title = "Symmetry reduction of reynolds equation and applications to film lubrication",

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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year = "1992",

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AU - Abell, M. L.

AU - Ames, W. F.

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Y1 - 1992/3

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0026796163

U2 - 10.1115/1.2899430

DO - 10.1115/1.2899430

M3 - Article

AN - SCOPUS:0026796163

SN - 0021-8936

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SP - 206

EP - 210

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

IS - 1

ER -

Symmetry reduction of reynolds equation and applications to film lubrication

Abstract

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