Paper Number
SF20 

Session
Self-assembly and Flow-induced Systems/Gels

Title
Study of diffusion effects in shear banding micellar solutions

Presentation Date and Time
October 8, 2014 (Wednesday) 11:40

Track / Room
Track 5 / Washington B

Authors (Click on name to view author profile)

1. Germann, Natalie (Technical University of Munich Weihenstephan, Center of Life and Food Sciences)
2. Beris, Antony N. (University of Delaware, Chemical and Biomolecular Engineering)
3. Cook, L.Pamela (University of Delaware, Department of Mathematical Sciences)

Author and Affiliation Lines (in printed abstract book)
Natalie Germann¹, Antony N. Beris², and L.Pamela Cook^3
1Center of Life and Food Sciences, Technical University of Munich Weihenstephan, Freising 85354, Germany; ²Chemical and Biomolecular Engineering, University of Delaware, Newark, DE 19716; ³Department of Mathematical Sciences, University of Delaware, Newark, DE 19716

Speaker / Presenter 
Beris, Antony N.

Text of Abstract
This theoretical modeling work follows in continuation to our modeling efforts on the shear banding behavior of wormlike micellar solutions. By employing an extension to the nonequilibrium treatment of chemical reaction kinetics for media with an internal structure, we described the dynamic breakage and recombination processes of the micelles (1). Standard Fickian and stress-induced diffusion was added in a thermodynamically consistent fashion (2). In this talk, we will address the influence of the various diffusion effects to the solution of the problem with typical results presented and limiting cases analyzed. Of particular emphasis will be the stress-induced diffusion as it does appear to affect the smoothness of the solution indicating it as a key parameter to spectral approximations. The connection to the physics will be made and typical applications where the diffusion effects are important will be discussed.
References
(1) N. Germann, L. P. Cook, and A. N. Beris. Nonequilibrium thermodynamic modeling of the structure and rheology of concentrated micellar solutions, J. Non-Newt. Fluid Mech., (196):51-57, 2013.
(2) N. Germann, L. P. Cook, and A. N. Beris. Investigation of the inhomogeneous shear flow of a wormlike micellar solution using a thermodynamically consistent model, J. Non-Newt. Fluid Mech., (207):21-31, 2014.