Effect of viscous heating on linear stability of viscoelastic cone-and-plate flow: axisymmetric case

被引：31

作者：

Olagunju, DO ^{[1
]}

Cook, LP

McKinley, GH

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

[2] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 2002年 / 102卷 / 02期

基金：

美国国家科学基金会;

关键词：

viscous heating; linear stability; viscoelastic cone-and-plate flow;

D O I：

10.1016/S0377-0257(01)00185-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The effect of viscous heating on the linear stability of torsional flow of a viscoelastic fluid is analyzed. We consider an Oldroyd-B fluid subjected to a steady shearing motion in a cone-plate system with small gap. Previous experimental and analytical results show that in the isothermal case the flow is unstable to short wavelength disturbances for values of the Deborah number greater than some critical value. In this paper we show that viscous heating, which is characterized by a radially averaged Nahme number, (Na) over tilde, has a stabilizing effect on both long wave and short wave disturbances. This is in qualitative agreement with experimental results of Rothstein and McKinley. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：321 / 342

页数：22

共 21 条

[1] Influence of energetics on the stability of viscoelastic Taylor-Couette flow [J].