|
Water flowing from a slightly open faucet is smooth and
steady. As the faucet opens up more, the water flow transforms itself into
a turbulent state: one sees an abundance of swirling eddies distributed
irregularly in space, interacting with each other and evolving in a complex
manner.
Turbulent flows are common in technology. Without turbulence,
the mixing of air and fuel in an automobile engine would not occur on useful
time scales; the transport and dispersion of heat, pollutants and momentum
in the atmosphere and the oceans would be far weaker; in short, life as
we know on the earth would not be possible. However, turbulence also has
several undesirable consequences: it enhances energy consumption of pipelines,
aircraft and ships, and automobiles; it makes an air traveller occasionally
queasy and worse; it distorts the propagation of electromagnetic signals;
and so forth. A major goal of a turbulence practitioner is the prediction
of the effects of turbulence and control them---suppress or enhance them,
as circumstances dictate---in various applications such as industrial mixers
and burners, nuclear reactors, aircraft and ships, and rocket nozzles.
While the practical importance of turbulence has long
been appreciated, less well appreciated has been its intellectual richness
and the central place it occupies in modern physics. Looking into the problem,
we are immediately faced with an apparent paradox. Even with the smoothest
and most symmetric boundaries possible, flowing fluids---except when their
speed is very low---assume the irregular state of turbulence. This feature,
though not fully understood, is now known to bear some connection with
the occurrence of dynamical chaos in nonlinear systems. In fact, until
the 1960\'s, turbulence was the paradigm system in which the excitation
of many length scales was recognized as centrally important. The powerful
notions of scaling and universality, which matured when renormalization
group theory was applied to critical phenomena, had already manifested
in turbulence a couple of decades earlier. Turbulence and critical phenomenon
share the feature that a continuous range of scales is excited in both;
however, they are different in that the fluctuations in turbulence are
strongly coupled and there exists no small parameter. It is a paradigm
in nonequilibrium statistical physics, in which fluctuations and macroscopic
space-time structure coexist. It is an example like no other of spatially
extended dissipative systems.
It can thus be said that turbulence is central to flow
technology as well as modern statistical and nonlinear physics. However,
the problem has not yet been mastered despite serious scientific study
for over hundred years. Much qualitative, and very useful, progress has
been made but large gaps exist in our understanding. The subject is at
once very old and very new.
The diverse clientele the subject enjoys---such as astrophysicists,
atmospheric physicists, aeronautical, mechanical and chemical engineers,
to name but a few---has different needs and espouses correspondingly different
approaches and emphases. This makes it difficult to mount a focused frontal
attack on a single aspect of the problem. It has also often made the communication
among the different segments of the community somewhat difficult. These
aspects have compounded to some degree the extraordinary complexity already
inherent to the subject. Fortunately, the rate of progress in the subject
has increased in recent years, chiefly due to the increasing interaction
among experiment, theory and simulations.
Arising from such considerations, ITP has initiated a
broad-based Program with the following premises: that the Program can help
accelerate progress by encouraging serious dialogue among physicists, mathematicians,
engineers and other practitioners of the subject; that research on the
fundamental and practical aspects of the problem would benefit from each
other; that the influx of talent into the su |