Traveling waves and homogeneous fragmentation
Berestycki, J Harris, S Kyprianou, A The Annals of Applied Probability volume 21 issue 5 1749-1794 (01 Oct 2011)
The Λ-coalescent speed of coming down from infinity
Berestycki, J Berestycki, N Limic, V The Annals of Probability volume 38 issue 1 207-233 (01 Jan 2010)
The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential
Berestycki, J Brunet, É Harris, J Harris, S Statistics & Probability Letters volume 80 issue 17-18 1442-1446 (Sep 2010)
The genealogy of branching Brownian motion with absorption
Berestycki, J Berestycki, N Schweinsberg, J The Annals of Probability volume 41 issue 2 527-618 (01 Mar 2013)
Branching Brownian motion seen from its tip
Aïdékon, E Berestycki, J Brunet, É Shi, Z Probability Theory and Related Fields volume 157 issue 1-2 405-451 (25 Oct 2013)
Critical branching Brownian motion with absorption: survival probability
Berestycki, J Berestycki, N Schweinsberg, J Probability Theory and Related Fields volume 160 issue 3-4 489-520 (13 Dec 2014)
A small-time coupling between $\Lambda$-coalescents and branching processes
Berestycki, J Berestycki, N Limic, V The Annals of Applied Probability volume 24 issue 2 449-475 (01 Apr 2014)
Asymptotic sampling formulae for $\varLambda$-coalescents
Berestycki, J Berestycki, N Limic, V Annales de l Institut Henri Poincaré Probabilités et Statistiques volume 50 issue 3 715-731 (01 Aug 2014)
Mon, 10 Nov 2014
17:00
L2

Non-Newtonian Flows: The mathematics of surfactant mixtures

Pam Cook
(University of Delaware)
Abstract

In highly concentrated surfactant solutions the surfactant molecules self-assemble into long flexible "wormy" structures. Properties of these wormlike micellar solutions make them ideal for use in oil recovery and in body care products (shampoo). These properties depend strongly on temperature and concentration conditions.   In solution the "worms" entangle, forming a network, but also continuously break and reform, thus earning the name ‘living polymers’. In flow these fluids exhibit spatial inhomogeneities,  shear-banding, and dynamic elastic recoil. In this talk a rheological equation of state that is capable of describing these fluids is described   The resultant governing  macroscale equations consist of a coupled nonlinear partial differential equation system.  Model predictions are presented, contrasted with experimental results, and contrasted with predictions of other existing models.  Generalizations of the model to allow the capturing of  behaviors under changing concentration or temperature conditions, namely power law and stretched exponential relaxation as opposed to exponential relaxation, will be discussed and  particularly a mesoscale stochastic simulation network model will be presented.  

Subscribe to