Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a Newtonian solvent contribution

被引：92

作者：

Cruz, DOA

Pinho, FT

Oliveira, PJ ^{[1
]}

机构：

[1] Univ Beira Interior, Dept Eng Electromecan, Unidade Mat Text & Papeleiros, P-6201001 Covilha, Portugal

[2] Univ Minho, DEM, Ctr Estudos Fenomenos Transporte, P-4800058 Guimaraes, Portugal

[3] Fed Univ Para, Dept Eng Mecan, BR-66075900 Para, Brazil

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 2005年 / 132卷 / 1-3期

关键词：

analytical solution; pipe flow; channel flow; fully developed; PTT; solvent viscosity; FENE-P; viscoelastic;

D O I：

10.1016/j.jnnfm.2005.08.013

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We present analytical solutions for fully developed pipe and channel flows of two viscoelastic fluids possessing a Newtonian solvent, where the polymer contribution is either described by the Phan-Thien-Tanner (PTT) or FENE-P models. We derive in detail the pipe flow solution for the PTT fluid, and present the final solutions for the remaining three cases. This constitutes an important addition to existing results where the presence of a solvent with Newtonian characteristics has been consistently overlooked, as it posed considerable difficulties to the task of obtaining a closed form solution. In addition, interesting aspects of the solutions are discussed. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：28 / 35

页数：8

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