THERMAL SCIENCE

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Hongjin Ma

VARIATIONAL PRINCIPLE FOR A GENERALIZED RABINOWITSCH LUBRICATION

ABSTRACT
This paper adopts Rotem and Shinnar’s modification of the Rabinowitsch fluid model for the one-dimensional non-Newtonian lubrication problem, a variational principle is established by the semi-inverse method, and a generalized Reynolds-type equation is obtained. This article opens a new avenue for the establishment of Reynolds-type equation of complex lubrication problems.
KEYWORDS
Lagrange functional, variational theory, Euler-Lagrange equation, Reynolds equation, He’s semi-inverse method
PAPER SUBMITTED: 2021-12-01
PAPER REVISED: 2022-03-31
PAPER ACCEPTED: 2022-04-04
PUBLISHED ONLINE: 2022-05-22
DOI REFERENCE: https://doi.org/10.2298/TSCI211201071M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [2001 - 2007]
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Variational principle for a generalized Rabinowitsch lubrication

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