Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section

被引：72

作者：

Fetecau, C ^{[1
]}

机构：

[1] Tech Univ Iasi, Dept Math, Iasi 700506, Romania

[2] Tech Univ Iasi, Dept Theoret Mech, Iasi 700506, Romania

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2005年 / 40卷 / 09期

关键词：

Oldroyd-B fluid; unsteady flows; velocity field; volume flux;

D O I：

10.1016/j.ijnonlinmec.2005.05.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The aim of this note is to present the exact solutions corresponding to two types of unsteady flows of an Oldroyd-B fluid in a channel of rectangular cross-section. The solutions that have been obtained satisfy both the associate partial differential equations and all imposed initial and boundary conditions. For lambda(r) or lambda -> 0 they tend toward similar solutions for a Maxwell or second-grade fluid. If both lambda(r) and lambda -> 0, the solutions for Navier-Stokes fluids are recovered. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1214 / 1219

页数：6

共 18 条

[1] Start-up flows of second grade fluids in domains with one finite dimension [J].