Title

On Non-Newtonian Lubrication With The Upper Convected Maxwell Model

Keywords

Maxwell model; Non-Newtonian lubricant; Perturbation method; Thin film; Viscoelasticity

Abstract

A long-standing theoretical and practical problem, whether the viscoelasticity can have a measurable and beneficial effect on lubrication performance characteristics, is readdressed in this paper. The upper convected Maxwell model is chosen to study the influence of viscoelasticity on lubricant thin film flows. By employing characteristic lubricant relaxation times in an order of magnitude analysis, a perturbation method is developed for analysing the flow of a Maxwell lubricant between two narrow surfaces. The effect of viscoelasticity on the lubricant velocity and pressure is examined, and the influence of minimum film thickness on lubrication characteristics is investigated. An order of magnitude analysis reveals that the pressure distribution is significantly affected by the presence of fluid viscoelasticity when the minimum film thickness is sufficiently small. This mechanism suggests that viscoelasticity does indeed enhance the lubricant pressure field and produce a beneficial effect on lubrication performance, which is consistent with some experimental observations. © 2010 Elsevier Inc.

Publication Date

5-1-2011

Publication Title

Applied Mathematical Modelling

Volume

35

Issue

5

Number of Pages

2309-2323

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.apm.2010.11.003

Socpus ID

78751637548 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/78751637548

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