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Sidney
Nagel received his B.A. from Columbia University in
1969 and his Ph.D in Physics from Princeton University
in 1974. He was a Research Associate at Brown University
before moving to the University of Chicago in 1976,
where he is currently the Louis Block Professor in the
Physical Sciences.
Nagel
works to make sense out of disordered, non-linear and
out-of-equilibrium systems. Initially his research focused
on the transition that occurs when a liquid is supercooled
into an amorphous solid. His interests subsequently
broadened to include granular materials such as sand
and coffee grounds. Along a somewhat related line of
research, he has been studying the singularities that
occur in hydrodynamic flows. A drop falling from a faucet
is a common example of singularity formation, as the
liquid breaks up into two or more pieces.
Nagel,
an honored member of several professional societies,
has also received the 1996 Quantrell Award for Excellence
in Undergraduate Teaching and the 1999
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Nagel
responds :
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2.22.01
Michael Dilger asked:
If you pour a Guinness beer into a pint glass, the bubbles
appear to go down, which is odd considering the beer
seems substantially more dense than the bubbles. If
you take a glass which is narrowest in the middle (wider
at the bottom and the top) and pour a Guinness into
it, the bubbles at the top of the glass go downward,
but the bubbles at the bottom of the glass go upward,
and they collide at an interference layer at the narrowest
part of the glass. I'd love to hear the explanation.
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Nagel's
response:
I
am certainly not an expert on Guinness but have heard
a lot about this effect in the past year. A group from
France and Australia did a computational study of this
problem. I looked up their work on the WEB here.
At that location, there is description of what sort
of computations were done to show why the bubbles behaved
in a non-intuitive way described in the first part of
your question. According to this work, fluid flows are
set up in the glass by the large number of bubbles rising
from the container bottom. As they rise, they carry
the surrounding fluid up with them creating a large-scale
convection role. As in a spaghetti pot heated from below,
such a convection role establishes a return flow along
the sides of the glass that brings the fluid back down
to the bottom. This return flow contains some small
bubbles which is what is observed from the outside as
bubbles sinking in the glass.
Although I have not observed the effect in the glass
with the thin neck described in your question, I would
guess that the convection rolls are severely altered
from what they would be in a tall straight glass. No
longer will there be a single roll from top to bottom
in the entire container and the rolls in the two halves
of the glass will have different shapes and directions.
This will make it look as if the bubbles are falling
in some cases and rising in others. In all cases, I
would expect that it is the convection in the liquid
which is responsible for the direction of motion of
the bubbles and not the bubbles falling with respect
to the background fluid.
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2.22.01
Catherine Hogan asked:
Moody ashes: I clean the ashes out of my wood stove
every 3 days. I've noticed that on some days, the ashes
seem to be so airborne it's difficult to get them from
the stove into the bucket without covering my whole
house with ash dust. But on other days, the ashes seem
to be heavier and less apt to fly around. I suspect
a difference in atmospheric pressure, but when I questioned
a "scientific" friend about this, he just laughed at
me. In fact, I don't even understand atmospheric pressure
changes so I don't know why I thought that may be causing
the ashes to behave differently day by day. Can you
help clear up this mystery? Thanks.
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Nagel's
response:
I
can only hazard a guess as to the reason. I assume that
the difference occurs because of different amounts of
humidity in the air. When the air is more humid and
contains more water vapor the small ash particles become
slightly damp and this makes them stick to each other.
(Think of what happens when you have two slightly damp
pieces of plastic which are stuck to one another. They
are very hard to separate whereas when they are dry
it is much easier.) Humidity also acts to cut down on
static electricity. (In winter when there is much less
water vapor in the air, just walking on a carpet can
charge you up to give a hefty spark when touching a
doorknob. In summer you don't have such charging problems.)
When the ash picks up small electric charges, it repels
other like-charged pieces of ash. As you try to sweep
up the ashes, they rub against the walls of the stove
and pick up charges. This can make the entire ash heap
self-repelled and hard to handle - Trying to clean it
up can be like trying to herd cats!
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2.22.01
Jonathan
Schulman
asked:
Well, this question probably is more trivial than the
discussion I saw concerning grains of sand and coffee
stains (quite interesting!), but it's bugged me for
awhile, and as it's at least superficially related.
Perhaps someone can enlighten me: why do most (if not
all) porous substances, e.g. paper, become darker when
wet? It's such a commonplace event, we just take for
granted that, when wetness is perceived, it's because
the wet spot is darker than the surrounding area. But
why? How does the wetness change the way light is reflected
so as to make it appear darker? I'm guessing the answer
may be simple, but I'd certainly like to know it. Thanks!
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Nagel's
response:
The
reason is the same as why wet sand on a beach near the
water's edge is darker than it is higher up, away from
the water, where it is dry. The explanation is that
many of the things we think of as white look that color
because they are made up of small particles which are
transparent (like the sand on the beach which is essentially
glass) but which scatter light effectively because they
are small and rough with a lot of surface area. Because
the particles scatter all the wavelengths of light right
back at the viewer, the material appears white. If the
material didn't scatter the light so strongly, the light
could penetrate the material to a deeper level and would
travel a longer distance inside the material before
it gets back out to the viewer's eye. Along this distance
the light can be absorbed by small impurities decreasing
its intensity and the material would then appear to
be darker. One effective way that one can decrease the
amount of scattered light is to get rid or reflections
at the surface of the individual particles. This can
be done by surrounding the particle entirely by an index
matching fluid. (That is by surrounding it with a liquid
that has the same index of refraction as the object
itself.) Water helps get rid of scattering in just this
way. Although it does not have the identical index of
refraction as that of the particles, its index is still
much closer to it than that of air. Thus when the object
is wet, the light does not get reflected or scattered
as efficiently at each interface and the light penetrates
farther into the object. The wet material then appears
to be darker than the dry one.
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