On the fully developed tube flow of a class of non-linear viscoelastic fluids
- 作者：Letelier ; Mario F. ; Siginer ; Dennis A.
- 关键词：Constitutive equations ; Instabilities ; Tube flow ; Friction factor ; Viscoelastic fluids
- 刊名：International Journal of Non-Linear Mechanics
- 出版年：2005
- 期刊代码：87_00207462
- 类别：et
- 出版时间：May, 2005
- 卷：40
- 期：4
- 页码：485-493
- 文件大小：252 K
摘要
The fully developed pipe flow of a class of non-linear viscoelastic fluids is investigated. Analytical expressions are derived for the stress components, the friction factor and the velocity field. The friction factor which depends on the Deborah and Reynolds numbers is substantially smaller than the corresponding value for the Newtonian flow field with implications concerning the volume flow rate. We show that non-affine models in the class of constitutive equations considered such as Johnson–Segalman and some versions of the Phan–Thien–Tanner models are not representative of physically realistic flow fields for all Deborah numbers. For a fixed value of the slippage factor they predict physically admissible flow fields only for a limited range of Deborah numbers smaller than a critical Deborah number. The latter is a function of the slippage.