Lubrication approximation of flows of a special class of non-Newtonian fluids defined by rate type constitutive equations

被引：4

作者：

Fusi, L. ^{[1
]}

Farina, A. ^{[1
]}

Saccomandi, G. ^{[2
]}

Rajagopal, K. R. ^{[3
]}

机构：

[1] Univ Florence, Dipartimento Matemat & Informat, U Dini Viale Morgagni 67-A, I-50134 Florence, Italy

[2] Univ Perugia, Dipartimento Ingn, Via G Duranti 1, I-06125 Perugia, Italy

[3] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA

来源：

APPLIED MATHEMATICAL MODELLING | 2018年 / 60卷

关键词：

Implicit constitutive equations; Rate-type fluids; Lubrication approximation; CONVECTED MAXWELL MODEL; ELASTOHYDRODYNAMIC LUBRICATION; MECHANICS; REYNOLDS;

D O I：

10.1016/j.apm.2018.03.038

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the flow of a rate-type fluid defined by an implicit constitutive equation in a channel with non flat walls. We also assume that the channel characteristic width is small in comparison to the channel length, so that the lubrication approximation can be applied. The model developed is mainly motivated by the evidence that many lubricants seem to be well described by implicit rate type fluid models. The mathematical problem is reduced to an integro-differential equation for the pressure that is solved numerically for several channel profiles. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：508 / 525

页数：18

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