In 1975 Doi and Edwards predicted that entangled polymer melts andsolutions can have a constitutive instability, signified by adecreasing stress for shear rates greater than the inverse of thereptation time. Early experiments did not support this, and moresophisticated theories were developed that incorporated Marrucci's idea (1996) ofremoving c...
Creator:
Olmsted, Peter D.
Created:
2009-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Systems coupling fluids and polymers are of great interest in many branches of applied physics, chemistryand biology. There are many models to describe them.We will present here several existence results of weak or strong solutions. In particular we will consider the FENE, the Doiand FENE-P models.
Creator:
Masmoudi, Nader (New York University)
Created:
2010-02-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will briefly review multiscale approach to modelling of entangled polymers, which includes molecular dynamics (MD), single chain stochastic models (slip-springs) and the tube model. After that I will concentrate on the link between many chain (MD) and single chain models. I will report results from molecular dynamics simulations on stress rela...
Creator:
Likhtman, Alexei E. (University of Reading)
Created:
2009-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Using concepts developed over the years by de Gennes, Doi, Edwards, Marrucci, Rubinstein, McLeish, Milner, and others, a kind of 'standard model' for entangled polymer relaxation and rheology has been developed, which, like the 'standard model' of high-energy physics, has a number of ad hoc assumptions and fitting parameters. The "standard model...
Creator:
Larson, Ronald G. (University of Michigan)
Created:
2009-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Hydrogels are crosslinked polymer networks that absorb substantial amounts of water. Cytoplasm and extracelleular matrix and connective tissues can be regarded as natural hydrogels. Synthetic hydrogels based on organic polymers have numerous applications, partly because they can mimic the mechanical, mass transport, and interfacial properties of...
Creator:
Siegel, Ronald Alan (University of Minnesota, Twin Cities)
Created:
2013-07-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Many interesting and important phenomena in flowing complex fluids arise when the length scale of the microstructure becomes comparable with the length scale of the flow geometry. This is the case, for example, for solutions of genomic DNA in a microfluidic device or blood in the microcirculation. We describe here an efficient computational fram...
Creator:
Graham, Michael D. (University of Wisconsin, Madison)
Created:
2009-10-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Recent developments in dilute polymer solution rheology are reviewed, and placedwithin the context of the general goals of predicting the complex flow of complexfluids. In particular, the interplay between the use of polymer kinetic theory andcontinuum mechanics to advance the microscopic and the macroscopic description,respectively, of dilute...
Creator:
Jagadeeshan, Ravi Prakash (Monash University)
Created:
2009-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We present a novel energy formulation for the microstructured networks that develop when functionalized polymers interact with solvent. Such materialsfind widespread use in energy conversion and storage devices: PEM fuel cells, Dye-sensitized solar cells, Lithium-ion batteries. The formulation balances the favorable electrostatic interaction of ...
Creator:
Promislow, Keith (Michigan State University)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Many boundary value problems arising in materials science modeling involvecomplicated boundary shapes and boundary data, making analytic solution basedon conventional differential equation methods difficult. In particular, it isimportant to develop effective computational methods for calculating thetransport properties of polymers and complex-sh...
Creator:
Douglas, Jack (National Institute of Standards and Technology)
Created:
2013-10-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We report on recent experimental and theoretical work onthe pinch-off of dilute solutions of flexible polymers. Owing tothestrong extensional hardening of such solutions, pinch-off of aliquid drop is delayed. Instead, long threads of uniformthicknessform, whose radius decreases exponentially in time. We derive arelationship between the thread ra...
Creator:
Eggers, Jens (University of Bristol)
Created:
2009-10-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The behavior of supercooled polymer melt composed of shortchains with ten beads between rapidly oscillating plates issimulated by using a hybrid simulation of molecular dynamicsand computational fluid dynamics.The flow profiles of polymer melt near an oscillating plate arequite different from those of Newtonian fluid.The viscous boundary layer o...
Creator:
Yamamoto, Ryoichi (Kyoto University)
Created:
2009-05-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, the effects of fluid elasticity on the dynamicsof filament thinning and drop breakup processes areinvestigated in a cross-slot microchannel. Elasticity effectsare examined using dilute aqueous polymeric solutions ofmolecular weight (MW) ranging from 1.5 x 10(^3) to 1.8 × 10(^7). Results for polymeric fluids are compared to those f...
Creator:
Arratia, Paulo E. (University of Pennsylvania)
Created:
2009-10-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.