Elasto-viscoplastic fluid flow in tubes of arbitrary cross-section

被引：4

作者：

Letelier, Mario F. ^{[1
,2
]}

Siginer, Dennis A. ^{[1
,2
,3
,4
]}

Gonzalez, Amaru ^{[1
,2
]}

机构：

[1] Univ Santiago Chile, Ctr Invest Creatividad & Educ Super, Ave Libertador Bernardo OHiggins 3363, Santiago, Chile

[2] Univ Santiago Chile, Dept Ingn Mech, Ave Libertador Bernardo OHiggins 3363, Santiago, Chile

[3] Bostwana Int Univ Sci & Technol, Dept Math & Stat Sci, Private Bag 16, Palapye, Botswana

[4] Bostwana Int Univ Sci & Technol, Dept Mech Energy & Ind Engn, Private Bag 16, Palapye, Botswana

来源：

APPLIED MATHEMATICAL MODELLING | 2017年 / 46卷

关键词：

Elasto-viscoplastic fluid flow; Arbitrary cross-sectional tube; Weissenberg and Bingham numbers; Plug and stagnant zones; Flow enhancement; VISCOPLASTIC FLUID; BINGHAM; SIMULATION; DOMAIN;

D O I：

10.1016/j.apm.2017.01.058

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Elasto-viscoplastic fluid flow in tubes of arbitrary cross-section is explored. A constitutive equation superposing elasticity on the viscoplastic behavior through a linear combination of the non-linear simplified Phan Thien Tanner constitutive model of viscoelasticity and the non-linear Bingham constitutive equation of viscoplasticity is developed. The equation of motion is solved analytically for the longitudinal field for steady flow in tubes of non-circular cross-section. The evolution of the plug and stagnant zones, hallmarks of viscoplastic behavior, is studied when elasticity is present, and the rate of flow is determined in terms of the Weissenberg and Bingham numbers. Elasticity tends to enhance the rate of flow for given viscoplastic conditions, and stagnant and plug zone configurations are substantially altered. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：572 / 580

页数：9

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