Current topics of interest include investigations of a broad class
of problems where there is a competition between order and disorder,
such as in mixing and segregation of granular matter or fluid mixing
and, more generally, problems in the realm of complex systems involving
tools such as agent-based models and network theory.
The interest in basic understanding of mixing lies in the ubiquity
of mixing processes in technology and nature; examples are found
in chemical, mechanical, and aeronautical engineering, but also
in geophysics, physiology, oceanography, polymer engineering, and
environmental sciences.
The work in granular dynamics involves a blend of theory, computations,
and experimental work that reaches into applications. While important
to a wide range of industries, our understanding of solid mixing
and segregation is primitive. Some key questions we are currently
addressing are: What features of mixing can be predicted computationally?
What causes demixing and how it interplays with mixing? How can
mixing be optimized?
R.
Sturman, J.M. Ottino, and S. Wiggins, Mathematical Foundations of
Mixing: The Linked Twist Map as a Paradigm in Applications Micro
to Macro, Fluids to Solids, Cambridge University Press, Cambridge,
England, 2006
J.M. Ottino, Engineering Complex Systems, Nature, 427,
399 (2004).
L.A.N. Amaral and J.M. Ottino, Complex Networks: Completing the
framework for the study of complex systems, European Physics
Journal, 38, 47-162 (2004).
L.A.N. Amaral and J.M. Ottino. Complex Systems and Networks Challenges
and Opportunities for Chemical and Biological Engineering, Chemical
Engineering Science, 59, 1653-1666 (2004).
S.J. Fiedor and J.M. Ottino, Mixing
and segregation of granular matter: multi-lobe formation in time-periodic
flows , J. Fluid Mech., 533, 223-236, (2005).
B.A. Socie, P. Umbanhowar, R.M. Lueptow, N. Jain, and J.M. Ottino,
Creeping motion in granular flow, Phys. Rev. E, 71(3),
031304, (2005).
N.A. Pohlman, S.W Meier, R.M. Lueptow, and J.M. Ottino, Surface
Velocity in Three-Dimensional Granular Tumblers, J. Fluid Mech.
560, 355 368, (2006).
J.M. Ottino, Granular Matter as a Window into Collective Systems
far from Equilibrium, Complexity, and Scientific Prematurity,
Chem. Eng. Sci., 61, 4165-4171, (2006).
S.J. Fiedor, P.B. Umbanhowar, and J.M. Ottino, Dynamics of axial
segregation in granular slurries: Parallel experiments and influence
of aspect ratio and periodic tilting, Phys. Rev. E, 73,
041303 (2006).
N.A. Pohlman, J.M. Ottino and R.M. Lueptow, End-wall effects
in granular tumblers: From quasi-two-dimensional flow to three-dimensional
flow," Physical Review E (Vol. 74, No. 3): Phys. Rev. E
74, 031305 (2006)
S.W. Meier, S.E. Cisar, R.M. Lueptow, and J.M. Ottino, Capturing
patterns and symmetries in time-periodic granular flow using polydisperse
particles, Phys. Rev. E., 74(3), Art No 031310,
Sept, 2006
B.L. Severson, J.M. Ottino, R.Q. Snurr, Analysis of lubrication
failure using molecular simulation, Tribology Lett., 23(3),
253-260 (2006)
T. Arndt, A. Brucks, J.M. Ottino, and R.M Lueptow, Creeping
granular motion under variable gravity levels, Phys, Rev, E.74(3),
Art. No 031307, Part 1, Sept. 2006.
"Complex Systems," J.M. Ottino, AIChE J. 49, 292-299 (2003).
"Is a picture worth 1000 words?" J.M. Ottino, Nature 421, 474-476
(2003)
"Surface Flows of Granular Materials: Model and Experiments in
Heap Formation," D.V. Khakhar, A.V. Orpe, P. Andresén,
and J.M. Ottino, J. Fluid Mechanics, 441, 255-264 (2001).
"Surface Granular Flows: Two Related Examples," D.V. Khakhar,
A.V. Orpe, and J.M. Ottino, Advances in Complex Systems, 4, 407-417
(2001).
"Chaotic Mixing in a Bounded Three Dimensional Flow," G.O. Fountain,
D.V. Khakhar, I. Mezic, and J.M. Ottino, J. Fluid Mechanics, 147,
265-301, 2000.
"Chaotic Mixing in a Bounded Three Dimensional Flow," Fountain,
G.O., Khakhar, D.V., Mezic, I., and Ottino, J.M., J. Fluid Mechanics,
147, 265-301, 2000.
"Mixing and Segregation of Granular Materials," Ottino, J.M.
and Khakhar, D.V., Annual Review of Fluid Mechanics, 32, 55-91,
2000.
"The Art of Mixing with an Admixture of Art: Viewing Creativity
through P.A. Danckwerts' Early Work (Danckwerts Memorial Lecture).,"
Ottino, J.M., Chem. Eng. Sci., 55, 2749-2765, 2000 A slightly
different version of this article is reprinted also in Inst. of
Chemical Engineers, 78(A), 871-880, 2000.
"Mixing of Granular Materials: A Test-Bed Dynamical System for
Pattern Formation," Hill, K.M., Gilchrist, J.F., Khakhar, D.V.,
McCarthy, J.J. and , Intern. Jour. Bifurc. and Chaos, 9, 1467-1484,
1999 (cover article).
"Segregation-Driven Organization in Chaotic Granular Flows,"
Hill, K.M., Khakhar, D.V., Gilchrist, J.F., McCarthy, J. J. and
Ottino, J.M., Proceedings of the National Academy of Sciences,
Vol 96, Issue 21, pp. 11701-11706, October 1999.
"Chaotic Mixing of Granular Materials in 2D Tumbling Mixers"
Khakhar, D.V., McCarthy, J.J., Gilchrist J.F. and Ottino, J.M,
CHAOS 9 (1999): 195-205.
J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and
Transport, Cambridge University Press, Cambridge, England, 1989
