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dynamics days 2007

Friday, January 5 — Session 7: Non-Newtonian Fluids and Granular Media
11-11:40 am

Jerry Gollub
Haverford College and University of Pennsylvania

Stretching and Patterns in  Non-Newtonian Flow

When  a fluid contains polymer molecules,  stretching it can give  rise  to  novel   instabilities  and  patterns.   These  can  be conveniently studied using microfluidic devices.  In this talk, I give several examples, emphasizing the special features that arise from the non-Newtonian    (nonlinear)   fluid   properties.     These   include instabilities giving spontaneous symmetry breaking, and the generation of small droplets when a viscoelastic fluid is stretched.



11:40 am-noon

Anita Mehta
The Radcliffe Institute of Advanced Study, Cambridge, MA
Email: amehta@radcliffe.edu

Sand in a jam - some very nonlinear dynamics

Sand in the jamming limit exhibits highly nonequilibrium and deeply nonlinear dynamical behaviour. I will talk about a few theoretical examples of such behaviour ranging from lattice models with long-range interactions, which exhibits a truly glassy phase, to nonlinear equations that model the dynamics of sand near its angle of repose.


noon-12:20 p m

Ashish Orpe
Department of Physics, Clark University
Email: avorpe@physics.clarku.edu

authors: Ashish V. Orpe and Arshad Kudrolli

Investigation of structure and dynamics of gravity driven dense granular flows with internal imaging

Silos are important industrially for storage and distribution of granular materials. The flow in such systems is dense and characterized by the highly dissipative interaction between the flowing particles. Previous experimental studies have been carried out by observing the flow near the walls owing to the opacity of granular materials. To understand the three dimensional structure and flow dynamics, we fill the silo with glass particles, and a liquid with the same refractive index. The work is focused on the uniform plug-like flow region high above the orifice.
A plane of grains is illuminated using a laser, and dark particles against a fluorescent background are imaged using a digital camera. The particles are identified and tracked over long durations to obtain various flow characteristics. We observe that the side walls induce significant structural order on the granular layer adjacent to the front walls while the bulk is quite disordered. The velocity fluctuation properties in the bulk show remarkable similarities to those for simple elastic hard-sphere liquids. However, those near the walls are qualitatively different and similar to the earlier observations for dry granular flows. By varying the orifice width, we also show that all the flow properties are observed to be flow-rate independent and that the
interstitial fluid has no significant effect. Our results suggest the possibility of modeling dense granular flows using hydrodynamic approaches.


 


 

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December 7, 2006   |  Office of the Provost