Research Papers: Lubricants

A Novel Model of the Equivalent Viscosity of Simple Viscoelastic Fluids

[+] Author and Article Information
Bo Zhang

Graduate School of Science and Engineering,
Saga University,
1 Honjo-machi, Saga-shi,
Saga 840-8502, Japan
e-mail: zhang@me.saga-u.ac.jp

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received March 8, 2015; final manuscript received September 24, 2015; published online November 4, 2015. Assoc. Editor: Ning Ren.

J. Tribol 138(2), 021802 (Nov 04, 2015) (5 pages) Paper No: TRIB-15-1070; doi: 10.1115/1.4031751 History: Received March 08, 2015; Revised September 24, 2015

This paper presents the Maxwell model in simple shear flow by using the complex analysis, instead of the matrix analysis which is generally used in the literature. It is found that the viscoelastic fluids will behave viscoelastically only when the elastic shear deformation is significant, say about unity. Analysis of the viscoelastic flow based on the assumption of small elastic deformation will overlook the viscoelasticity. Because the elastic deformation is always great when the viscoelasticity is observed, the constant elasticity assumption, rather than the constant viscosity assumption, will lose its effect. This paper first introduces the assumption that the shear modulus of viscoelastic fluids is linearly related to the shear strain rate, and the equivalent viscosity is compared with the experimental results for some simple hydrocarbons in the literature. The theory proposed in this paper gives predictions agreed with the experimental results as well as the Carreau model.

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Grahic Jump Location
Fig. 1

Simple shear flow between two parallel surfaces in relative motion

Grahic Jump Location
Fig. 2

The schematic of shear strain rates and surface stresses

Grahic Jump Location
Fig. 3

Dependence of the measured (equivalent) viscosity on the shear strain rate for DOP. The experimental results and the predictions of the Carreau model are from Ref. [14].

Grahic Jump Location
Fig. 4

Dependence of the equivalent viscosity on the shear strain rate for (a) HMN and SQL and (b) DBEB and BCH. The predictions of the Carreau model are from Ref. [15].

Grahic Jump Location
Fig. 5

Schematic of the elastic shear deformation of 2.5



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