๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Viscoelastic stresses in the stagnation flow of a dilute polymer solution

โœ Scribed by Robert A. Van Gorder; K. Vajravelu; F. Talay Akyildiz

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
843 KB
Volume
161
Category
Article
ISSN
0377-0257

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we consider viscoelastic stresses T 11 , T 12 and T 22 arising in the stagnation flow of a dilute polymer solution; in particular, we consider an upper convected Maxwell (UCM) fluid. We present exact solutions to the coupled partial differential equations describing the viscoelastic stresses and deduce the results for the stress T 22 of Becherer et al. [P. Becherer, A.N. Morozov, W. van Saarloos, Scaling of singular structures in extensional flow of dilute polymer solutions, J. Non-Newtonian Fluid Mech. 153 (2008) 183-190]. As we considered the viscoelastic stresses over two spatial variables, we are able to study the effect of variable boundary data at the inflow. As such, our results are applicable to a wider range of fluid flow problems.

๐Ÿ“œ SIMILAR VOLUMES

Stress singularities and the formation o
Stress singularities and the formation of birefringent strands in stagnation flows of dilute polymer solutions
โœ Paul Becherer; Wim van Saarloos; Alexander N. Morozov ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 528 KB

We consider stagnation point flow away from a wall for creeping flow of dilute polymer solutions. For a simplified flow geometry, we explicitly show that a narrow region of strong polymer extension (a birefringent strand) forms downstream of the stagnation point in the UCM model and extensions, like