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Eldred H. Chimowitz
Professor and Associate Chair
Ph.D. 1982, University of Connecticut
203 Gavett Hall
(585)275-8497
chim@che.rochester.edu
Website
http://www.che.rochester.edu/~chim/
Courses
ChE 150:
Green Engineering for a Sustainable Environment
ChE
272: Process Dynamics and Control
ChE
273: Process Design
Scholarly Activities:
Selected Publications
Recent Presentations
Book
Music Activities:
B Flat Blues
Devil Ways
All Blues
Blue & Green
Funk
Interactive Simulation Computer Programs:
Wind Power EXCEL Spreadsheet Calculator
Confined
Fluid Equation of State Model
Fuel
Cell Modeling
Research Topics: Critical
Phenomena, Statistical Mechanics of Fluids and Computer-Aided Design
Research Overview: Computer
Simulations of Thermodynamic Properties of Mesoporous Materials:
A fundamental understanding of the properties of fluids confined
in porous materials is a problem of continuing importance in chemical/materials
engineering. These materials can range from being completely random
in structure, to those existing as periodic, ordered materials.
Zeolites, for example, are ordered materials with crystalline, open
pore structures whose size/shape characteristics make them useful
as catalysts and/or catalyst support materials. Another important
class of substrates, often referred to as "disordered media",
possess quenched, random pore structures; the term quenched refers
to the fact that during the formation process the mechanical structure
of these materials is fixed in place through a quench processing
step. Inorganic membranes, aerogels and other substances derived
from sol-gel processes are representative of materials in this class
with applications proposed in the areas of ceramic membranes, catalyst
supports, gas sensors and nanofiltration devices.
Phase transitions and the nature of the critical
behavior of fluids confined in these systems is often an important
issue in process applications. We employ molecular simulation methods
to study the thermodynamic and transport properties in these systems.
In homogeneous bulk fluid systems critical behavior occurs when
the dominant length scale in the system, the correlation length,
diverges to infinity. In a porous structure, however, the nature
and extent of percolation pathways in the porous matrix determine
how the correlation length grows beyond the length of the average
pore size. In this way, geometric confinement leads to novel critical
behavior, often quite different to that observed in the corresponding
homogeneous bulk phase. It is these phenomena that are of interest
to our research. Our motivation for pursuing this work has arisen
from experimental work in the group aimed at studying the use of
these materials in various processes. These involve the supercritical
processing of porous materials and the development of energy efficient
inorganic membrane separation processes to supplant, where possible,
organic solvent use in chemical separations.
Diffusion Through Dynamic Network Structures:
Static percolation theory often concerns itself with the
topological connectivity of a system consisting of a static collection
of randomly distributed conducting sites surrounded by vacant or
non-conducting sites. Particles called random walkers (walkers or
the term carriers are used interchangeably in the literature) can
move throughout the system by “hopping” from one conducting
site to another, as long as the sites are “connected”
which is often defined to be that they are nearest neighbors. This
theory predicts a threshold for the concentration of conducting
sites, above which a sharp increase in conductivity is observed.
Conductivity here is defined as the flux of random walkers through
the conducting site network from one end of the system to the other.
A wide range of applications have successfully employed variants
of this theory, such as ionic conduction in polymeric, amorphous,
or glassy ceramic electrolytes, diffusion in biological tissues,
conduction in semiconductors, gelation in polymers, turbulent diffusion,
forest fire propagation and the efficacy of corrosion-resistant
metal-organic coatings.
However, with this theory the motion of the carriers is restricted
to the conducting site cluster in which the carrier initially belongs.
Thus, below the site percolation threshold, the mean square displacement
of a walker in the system will approach a finite value after some
time with the concomitant result that the dc conductivity through
the network will become zero in the long time limit. In many real
systems, however, this will not be the case, since the structure
can undergo microscopic rearrangements with time. This “network
dynamics” continually affects the pathways through which conduction
can occur and can have a dramatic effect on diffusion in the network.
We illustrate this in figure 1 where simulation
results for the mean square displacement of a walker in a 2d Ising
lattice structure are shown for a site density well below the system’s
static percolation threshold. One sees that at some point in the
static system, transport comes to a halt while in the dynamic system
it proceeds apace.|

Figure 1. Diffusive behavior in a
random, uncorrelated percolation system. Shown are
simulation results for static and dynamic structures below the static
percolation threshold .
We are interested in developing theories that,
in principle, deal with the behavior of such dynamic systems. A
few practical examples of systems that have been analyzed in these
terms include: certain bio-membranes, polymer electrolytes, oil
continuous micro-emulsions and microemulsion mixtures consisting
of thermodynamically stable, self-assembled aggregates of surfactant
molecules surrounding small droplets of either oil-in-water or water-in-oil.
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