| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
|
| Initial Amendment Date: | August 10, 2005 |
| Latest Amendment Date: | August 10, 2005 |
| Award Number: | 0504099 |
| Award Instrument: | Standard Grant |
| Program Manager: |
Michael Steuerwalt
DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | September 1, 2005 |
| End Date: | August 31, 2008 (Estimated) |
| Total Intended Award Amount: | $50,000.00 |
| Total Awarded Amount to Date: | $50,000.00 |
| Funds Obligated to Date: |
|
| History of Investigator: |
|
| Recipient Sponsored Research Office: |
1 NASSAU HALL PRINCETON NJ US 08544-2001 (609)258-3090 |
| Sponsor Congressional District: |
|
| Primary Place of Performance: |
1 NASSAU HALL PRINCETON NJ US 08544-2001 |
| Primary Place of
Performance Congressional District: |
|
| Unique Entity Identifier (UEI): |
|
| Parent UEI: |
|
| NSF Program(s): | APPLIED MATHEMATICS |
| Primary Program Source: |
|
| Program Reference Code(s): |
|
| Program Element Code(s): |
|
| Award Agency Code: | 4900 |
| Fund Agency Code: | 4900 |
| Assistance Listing Number(s): | 47.049 |
ABSTRACT
In this collaborative project, the investigators study the
interaction between fluids and particle distributions. They
examine the nonlinear Smoluchowski equations with both passive and
active interaction with an ambient fluid. The specific goals are:
a study of the transition to nematic states in the high
concentration limit, effects of shear, complex dynamics and modes
of coupling. Particular attention is given to the active
interactions with fluids, singularity formation, the stabilization
of high concentration suspensions, and the dissipation effects due
to the insertions.
Many biological and artificial materials are involved in
processes in which melts or fluid flows carry inserted particles.
The orientation of the particles and their overall distribution
influence the physical and chemical properties of the mixture.
The investigators carry out a mathematical study of models of such
mixtures. The goals are to describe qualitatively the patterns
formed by the particles, which of these patterns are stable, what
are the conditions for the creation of discontinuities in the
patterns, and what are the energetics and bulk physical properties
associated with them. Better understanding of the effects of
small-scale nonequilibrium dynamics on large-scale transport in
complex particle-fuid systems, such as the viscous polymer
suspensions considered here, is important in chemistry, biology,
and engineering.
PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH
Note:
When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external
site maintained by the publisher. Some full text articles may not yet be available without a
charge during the embargo (administrative interval).
Some links on this page may take you to non-federal websites. Their policies may differ from
this site.
Please report errors in award information by writing to: awardsearch@nsf.gov.
