On the time estimate for start-up of pipe flows in a Bingham fluid - a proof of the result due to Glowinski, Lions and Tremolieres

被引：7

作者：

Huilgol, RR

Mena, B

机构：

[1] Flinders Univ S Australia, Sch Informat & Engn, Adelaide, SA 5001, Australia

[2] Univ Nacl Autonoma Mexico, Inst Invest Mat, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 2000年 / 94卷 / 2-3期

关键词：

Bingham fluid; pipe flow; variational inequality; time estimate;

D O I：

10.1016/S0377-0257(00)00145-2

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A proof of the result due to Glowinski, Lions and Tremolieres on the time estimate for start-up of pipe flows in a Bingham fluid is presented. This result states that the norm of the unsteady flow approaches that of the steady flow exponentially, with the density and viscosity of the fluid, and the lowest eigenvalue of the Laplacian over the cross-section of the pipe playing significant roles. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：113 / 118

页数：6

共 7 条

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[2]

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[3]

Friedman B., 1956, Principles and Techniques of Applied Mathematics

[4]

Glowinski R, 1984, NUMERICAL METHODS NO

[5]

Glowinski R., 1981, Numerical Analysis of Variational Inequalities

[6] Variational principle and variational inequality for a yield stress fluid in the presence of slip [J].

Huilgol, RR .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1998, 75 (2-3) :231-251

[7]

HUILGOL RR, IN PRESS INT J NONLI

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