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Abstract and Figures

Champagne has remained the wine of celebration due to its bubbling behavior since the 19th century. Fine sparkling wines and Champagne result from a two-step fermentation process. Some flat Champagne wine is bottled with a mixture of yeast and sugar after completion of the first alcoholic fermentation. Champagne has a high concentration of carbon dioxide dissolved in it. It is about 10 grams per liter of fluid and the finished Champagne wine can be under as much as five or six atmospheres of pressure. Quantifying the exhalation of flavors and aromas seems a considerable challenge. The first step is to elucidate how bubbles themselves come into being. Generally speaking, two methods exist, and sometimes coexist, to generate bubble chains in Champagne glasses. Once a bubble grows to a size of 10 to 50 micrometers, it is buoyant enough to detach from the fiber, and another one forms like clockwork.
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294 American Scientist, Volume 97
Feat u r e A r t ic l e s
Legend has it that the Benedictine
monk Dom Pierre Pérignon discov-
ered the Champagne method for mak-
ing sparkling wines more than 300 years
ago. As it happens, a paper presented to
the Royal Society in London described
the Champagne production method in
1662, six years before Pérignon ever set
foot in a monastery. In fact, Pérignon
was first tasked with keeping bubbles
out of wine, as the effervescence was
seen as vulgar at the time. But then
tastes changed and fizz became fash-
ionable, so Pérignon’s mandate was
reversed; he went on to develop many
advances in Champagne production,
including ways to increase carbonation.
In any case, the process was not regu-
larly used in the Champagne region
of France to produce sparking wine
until the 19th century. Since that time,
Champagne has remained the wine of
celebration, undoubtedly because of its
bubbling behavior.
But what is the exact role of the bub-
bles? Is it just aesthetics? Do they con-
tribute to only one aspect, or to many
aspects, of the subjective final taste?
We have been rigorously analyzing
Champagne for more than a decade,
using the physics of fluids in the serv-
ice of wine in general and Champagne-
tasting science in particular.
The Champagne Method
Fine sparkling wines and Champagne
result from a two-step fermentation
process. After completion of the first al-
coholic fermentation, some flat Cham-
pagne wine (called base wine) is bottled
with a mixture of yeast and sugar. Con-
sequently, a second fermentation starts
inside the bottle as the yeast consumes
the sugar, producing alcohol and a large
amount of carbon dioxide (CO2). This is
why Champagne has a high concentra-
tion of CO2 dissolved in it—about 10
grams per liter of fluid—and the finished
Champagne wine can be under as much
as five or six atmospheres of pressure.
As the bottle is opened, the gas gushes
out in the form of tiny CO2 bubbles. In
order for the liquid to regain equilibrium
once the cork is removed, it must release
about five liters of CO2 from a 0.75 liter
bottle, or about six times its own volume.
About 80 percent of this CO2 is simply
outgassed by direct diffusion, but the re-
maining 20 percent still equates to about
20 million bubbles per glass (a typical
flute holds about 0.1 liter). For Cham-
pagne connoisseurs, smaller bubble size
is also a measure of quality.
For consumers and winemakers as
well, the role usually ascribed to bub-
bles in Champagne tasting is to awak-
en the sight sense. Indeed, the image
of Champagne is intrinsically linked
to the bubbles that look like “chains
of pearls” in the glass and create a
cushion of foam on the surface. But be-
yond this visual aspect, the informed
consumer recognizes effervescence as
one of the main ways that flavor is im-
parted, because bursting CO2 bubbles
propel the aroma of sparkling wine
into the drinker’s nose and mouth.
One cannot understand the bubbling
and aromatic exhalation events in cham-
pagne tasting, however, without study-
ing the flow-mixing mechanisms inside
the glass. Indeed, a key assumption is
that a link of causality may exist between
flow structures created in the wine due
to bubble motion and the process of fla-
vor exhalation. But the consequences of
the bubble behavior on the dynamics
of the Champagne inside the glass and
the CO2-propelling process are still un-
known. Quantifying the exhalation of
flavors and aromas seems a considerable
challenge, something that is difficult to
control experimentally, but this consti-
tutes the aim of our current work.
The Birth of Bubbles
The first step is to elucidate how bub-
bles themselves come into being. Gen-
erally speaking, two ways exist, and
sometimes coexist, to generate bubble
chains in Champagne glasses. Natu-
ral effervescence depends on a random
condition: the presence of tiny cellulose
fibers deposited from the air or left over
after wiping the glass with a towel,
which cling to the glass due to electro-
static forces. These fibers are made of
closely packed microfibrils, themselves
consisting of long polymer chains com-
posed mainly of glucose. Each fiber,
about 100 micrometers long, develops
an internal gas pocket as the glass is
filled. Capillary action tries to pull the
fluid inside the micro-channel of the
fiber, but if the fiber is completely sub-
merged before it can be filled, it will
hold onto its trapped air. Such gas trap-
ping is aided when the fibers are long
and thin, and when the liquid has a
low surface tension and high viscosity.
Champagne has a surface tension about
30 percent less than that of water, and a
viscosity about 50 percent higher.
Bubbles and Flow Patterns in Champagne
Is the fizz just for show, or does it add to the taste of sparkling wines?
Guillaume Polidori, Philippe Jeandet and Gérard Liger-Belair
Guillaume Polidori received his Ph.D. in fluid
mechanics in 1994 from the University of Poitiers
in France. Philippe Jeandet earned his doctorates
in plant physiology and biochemistry in 1991 and
1996, respectively, from the University of Bur-
gundy. Gérard Liger-Belair was granted his Ph.D.
in physical sciences in 2001 from the University
of Reims, and he also has an interest in high-speed
microphotography. All are now professors at the
University of Reims, located in the Champagne
region of France. Address for Polidori: Laboratoire
de Thermomécanique, GRESPI EA 4301, Facul
de Sciences de Reims, Moulin de la Housse, B.P.
1039, 51687 Reims Cedex 2, France. Internet:
guillaume.polidori@univ-reims.fr
2009 July–August 295www.americanscientist.org
These microfiber gas pockets act as
nucleation sites for the formation of
bubbles. To aggregate, CO2 has to push
through liquid molecules held together
by van der Waals forces, which it would
not have enough energy to do on its
own. The gas pockets lower the energy
barrier to bubble formation (as long as
they are above a critical size of 2 mi-
crometers in radius, because below that
size the gas pressure inside the bubble
is too high to permit CO2 to diffuse in-
side). It should be noted that irregulari-
ties in the glass surface itself cannot act
as nucleation sites—such imperfections
are far too small, unless larger micro-
scratches are purposely made.
Once a bubble grows to a size of 10 to
50 micrometers, it is buoyant enough to
detach from the fiber, and another one
forms like clockwork; an average of 30
bubbles per second are released from
each fiber. The bubbles expand from
further diffusion of CO2 into them as
they rise, which increases their buoy-
ancy and accelerates their speed of as-
cent. They usually max out at less than
a millimeter in diameter over the course
of their one- to five-second travel time
up the length of a flute.
Because natural nucleation is very
random and not easily controllable, an-
other way to generate bubbles is to use
a mechanical process that is perfectly re-
producible from one filling to the next.
Figure 1. A glass of Champagne is a feast for
all the senses; indeed it is sight and sound that
make sparkling wines particularly special.
Elegant bubble trains rise from nucleation
sites suspended in the fluid (right). Bubbles
reaching the top of the glass burst and pro-
duce a fog of droplets (above). The questions
being explored by enologists include how the
carbonation and effervescence induce fluid
flow in, and affect the flavor of, the beverage.
(All photographs are courtesy of the authors.)
296 American Scientist, Volume 97
Glassmakers use a laser to engrave ar-
tificial nucleation sites at the bottom
of the glass; such modified glasses are
commonly used by Champagne houses
during tastings. To make the efferves-
cence pattern pleasing to the eye, arti-
sans use no fewer than 20 impacts to
create a ring shape, which produces a
regular column of rising bubbles.
Fizz and Flow
The displacement of an object in a
quiescent fluid induces the motion of
fluid layers in its vicinity. Champagne
bubbles are no exception to this rule,
acting like objects in motion, no matter
whether the method used to produce
them was random or artificial. Viscous
effects make the lower part of a bub-
ble a low-pressure area, which attracts
fluid molecules around it and drags
some fluid to the top surface, although
the bubbles move about 10 times faster
than the fluid.
Consequently, bubbles and their
neighboring liquid move as concurrent
upward flows along the center line of
the glass. Because the bubble genera-
tion from nucleation sites is continuous,
and because a glass of Champagne is a
confined vessel, this constant upward
ascent of the fluid ineluctably induces a
rotational flow as well.
To get a precise idea of the role bub-
bles play in the fluid motion, we ob-
served a Champagne flute with single
nucleation site at the bottom. A bubble’s
geometric evolution is well studied in
carbonated beverages. For example, we
know that the bubble growth rate during
vertical ascent reliably leads to an aver-
age diameter of about 500 micrometers
for a 10-centimeter migration length in a
flute. In fact, for such a liquid supersatu-
rated with dissolved CO2 gas molecules,
empirical relationships reveal the bubble
diameter to be proportional to the cube
root of the vertical displacement.
Another property of bubbles is that
they can act as either rigid or flexible
spheres as they rise, depending on the
content of the fluid they are in, and rigid
spheres experience more drag than flex-
ible ones. Champagne bubbles do not
act as rigid spheres, whereas bubbles
in other fizzy fluids, such as beer, do.
Beer contains a lot of proteins, which
coat the outside of the bubbles as they
ascend, preventing their deformation.
Beer is also less carbonated than Cham-
pagne, so bubbles in it do not grow as
quickly, making it easier for proteins to
completely encircle them. But Cham-
pagne is a relatively low-protein fluid, so
there are fewer surfactants to stick to the
bubbles and slow them down as they
ascend. In addition, Champagne’s high
carbonation makes bubbles grow rap-
idly on their upwards trip, creating ever
more untainted surface area, in effect
cleaning themselves of surfactants faster
than new molecules can fill in the space.
However, some surfactants are necessary
to keep bubbles in linear streams—with
none, fluid flows would jostle the bub-
bles out of their orderly lines.
We carried out filling experiments at
room temperature to avoid condensa-
tion on the glass surface, and allowed
the filled glass to settle for a minute or
so before taking measurements. Our
visualization is based on a laser tom-
ography technique, where a laser sheet
2 millimeters wide crosses the center
line of the flute, imaging just this two-
dimensional section of the glass using
long-exposure photography. We seeded
the Champagne with Rilsan particles as
tracers of fluid motion. These polymer
particles are quasi-spherical in shape,
with diameters ranging from 75 to 150
DFMMVMPTF
NJDSPGJCSJMT
GJCFSXBMM
UP
NJDSPNFUFST
CVCCMF
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USBQQFE
JOTJEF
GJCFS
EJBNFUFS
UP
NJDSPNFUFST
Figure 2. Bubbles in sparkling wines do not spring into existence unaided, but require a starting
point. These nucleation sites take the form of microscopic cellulose fibers, from the air or a towel
used to dry the glass, which trap air pockets as the glass is filled. Carbon dioxide from the wine dif-
fuses into the gas pockets, producing bubbles like clockwork (left). The microfibers are themselves
made up of closely packed microfibrils, consisting of long chains of polymerized glucose (right).
Figure 3. In order to study effervescence in
Champagne and other sparkling wines, ran-
dom bubble production must be replaced
with controlled creation of bubble streams.
The glass bottom is etched with a ring that
provides nucleation sites for regular bubble
trains (left). The ring consists of many small
impact points from a laser, one of which is
shown above. Glasses etched with a single
nucleation point were used in studies to see
how a single stream of bubbles would in-
duce motion in the surrounding fluid, and
what shape that fluid motion would take.
20 micrometers
100 micrometers
2009 July–August 297www.americanscientist.org
micrometers, and have a density (1.060)
close to that of Champagne (0.998). The
particles are neutrally buoyant and do
not affect bubble production, but they
are very reflective of laser light. It is
amazing to see the amount of fluid that
can be set in motion by viscous effects.
In our resulting images, a white central
line corresponds to the bubble train path
during the exposure time of the camera,
and the fluid motion is characterized by
a swirling vortex that is symmetrical on
both sides of the bubble chain. We were
able to reveal the same vertical structures
with fluorescent dye.
The vortex-pair in the planar view of
our image can be extrapolated to show a
three-dimensional annular flow around
the center line of bubbles. This means
that a single fixed nuclear site on the glass
surface can set the entire surrounding
fluid into a small-scale ring vortex. But
what really happens in normal Cham-
pagne-tasting conditions, with multiple
nucleation sites? Is the entire volume of
the Champagne affected? Are there dif-
ferent mixing flow patterns according to
the method of effervescence? To answer
these questions, we investigated two cas-
es: one where only random nucleation
sites are present and another where only
controlled effervescence occurs.
Random Effervescence
As we mentioned previously, random
effervescence is mainly due to the pres-
ence of cellulose fibers deposited on
Champagne glasses. The number and
distribution of sites is unpredictable. In-
CVCCMF
GMVJE
QBSUJDMFT
Figure 4. A glass with a single impact point
produces a solitary stream of bubbles (top
left). When seeded with tiny polymer particles
and imaged in a time-lapse photo with a laser,
the bubble stream appears as a white line, and
the regular ring vortex of movement induced
in the fluid from the bubble movement is
clearly outlined by the particles (top middle).
The same fluid-swirling motion can be im-
aged with fluorescent dye (top right). The flu-
id motion occurs because as the bubbles rise,
they drag the fluid along in their wake (left).
MJOFBSCVCCMFQBUIMJOFT
TUSFBNMJOF TUSFBNMJOF
DVSWJMJOFBSCVCCMFQBUIMJOFT
Figure 5. Free-floating fibers in Champagne, the starting points of bubble production, are called fliers, and high-speed, time-lapse laser imag-
ing shows some of the intricate paths of streams of bubbles that originate from these particles. Fliers induced by the fluid streamline to move
linearly produce a line of bubbles whose paths curve upwards as the fiber moves forward (image and illustration at left). Fliers caught in more
complex, rotationally flowing streamlines produce bubble chains with curving pathlines (image and illustration at right).
MJOFBSCVCCMFQBUIMJOFT
TUSFBNMJOF TUSFBNMJOF
DVSWJMJOFBSCVCCMFQBUIMJOFT
298 American Scientist, Volume 97
deed, most bubble-generating sites are
found freely floating within the Cham-
pagne after pouring. Because they move
about in swooping patterns and produce
off-shooting bubble paths that don’t go
straight up, we call these particles fliers.
Our recent estimation of the dynamics
of these fliers has shown them to be neu-
trally buoyant on average with regard
to the surrounding fluid. In quiescent
Champagne, the vertical velocity of a
flier can be either positive or negative,
depending on its buoyancy parameters
and the gas-pocket volume it contains.
After rough calculations, we found the
free vertical velocity of fliers to range
between –0.19 and 0.13 millimeters per
second. These values are negligible com-
pared to the fluid velocity, so fliers can
make rather good fluid-motion markers.
Because of their high buoyancy, natu-
ral bubble nucleation sites can end up
being prisoners of the motion they them-
selves initiated. Time-lapse images of fli-
ers look something like claw scratches,
with each lighted filament correspond-
ing to a bubble trajectory. These visual-
izations are a powerful tool for giving a
precise idea of the bubble-emission fre-
quency and wavelength. For example,
linear motion in the laser-lighted plane
results in a flier print made from the
combination of the vertical ascendant
motion of bubbles and the linear oblique
velocity of a flier. When the flier describes
a complex curvilinear travel path, the
visualization yields a spectacular result
looking like an abstract art painting.
Random effervescence causes bubbles
released from fliers to form complex fluid-
flow patterns with multiple unsteady
cells that evolve over time. For example,
an image of the top corner of one glass
shows that no less that three eddies oc-
cupy a small area, leading to small-scale
but vigorous mixing and circulation pro-
cesses. The cells change in size and loca-
tion over time according to an arbitrary
scheme. Purely chaotic behavior charac-
terizes the flow in random effervescence.
Controlled Mixing
Champagne-tasting science involves a
number of very subjective judgments,
often difficult to quantify. For example,
there is an inherent compromise between
the visual aspects of bubbly behavior
and olfactory stimulation, as these two
qualities appear to be at odds. Too much
nucleation will excite the sense of sight
but cause the carbonation to quickly fiz-
zle out, making for unpleasant tasting.
On the contrary, poor nucleation will
produce fewer bubbles in the glass, but
more bubbles and aromas in the taster’s
nose and mouth, consequently enhanc-
ing the senses of smell and taste at the
expense of sight. From the many experi-
ments we have conducted with control-
led effervescence, it seems that an ideal
number of about 20 nucleation sites best
satisfies this dilemma.
Our laser visualizations of fluid flow
have shown that a flute with an en-
graved circular crown reaches a steady
state of fluid motion about 30 seconds
after the glass is poured. The vortices
do not swirl around and change shape,
in contrast to those created in unetched
glasses. The bubbles are highly reflec-
tive, allowing one to clearly observe the
formation of a rising gas column along
the vertical glass axis from the treated
bottom up to the free surface of the bev-
erage. Consequently, the driving force it
imparts to the surrounding fluid gener-
ates two large counter-rotating vortices
in the vertical lighted section. These cells
are located outside the rising bubbles,
close to the wall of the flute. Because
this gas column acts like a continuous
swirling-motion generator within the
glass, the flow structure exhibits a quasi-
steady two-dimensional behavior with
a geometry that is symmetrical around
the center line of the glass. It clearly ap-
pears in the case of an engraved flute
that the whole domain of the liquid is
homogeneously mixed.
To complete our observations, we
also studied the flow in an engraved
traditional Champagne coupe, which
is much wider but shallower than the
flute. As in the flute, the rising CO2
bubble column causes the main fluid
to move inside the coupe. However,
two distinctive steady-flow patterns,
instead of one, appear in a glass of this
Figure 6. A glass of Champagne that is seed-
ed with tiny polymer particles and then im-
aged with a laser shows how complex the
fluid motion becomes in vessels where
bubbles are produced solely by random ef-
fervescence (left). A close-up of the top right
corner of the glass shows at least three differ-
ent swirling vortices interacting in complex
fashion (above). These eddies are constantly
changing over time. In contrast, a flute with
an etched bottom settles very quickly into a
single flow pattern of a ring vortex surround-
ing the center line of bubbles (right).
2009 JulyAugust 299www.americanscientist.org
A
Champagne bubble’s life comes to an end when it bursts at the liquid
surface, but how it pops depends on how long the wine has been fizzing.
Immediately after pouring, sparkling wines form a layer of foam at the top sur-
face, and bubbles in this foam collapse in avalanche fashion—the bursting of one
induces its neighbors to pop as well, producing clusters of disintegration events.
After a few seconds, the Champagne surface loses its foamy head and settles
into a raft of close-packed bubbles, where each bubble has six neighbors in a single
layer (top photo, right). Most of the bubble is actually below the liquid surface—
only the top, or bubble cap, pokes
through, much like an iceberg in
the ocean. The fluid of the bubble
cap begins to drain away, and after
about 10 to 100 microseconds, it
reaches a critical thickness of less
than 100 nanometers. At this point
the membrane is so unstable that any disturbance in
temperature or vibration will cause it to rupture.
Bubble bursts happen too fast to see, but high-
speed photography shows that a bubble collapse
leaves a temporary indentation in the fluid surface,
forming a flower-like structure with the surrounding
bubbles (second photo, left). The sides of the former
bubble suddenly experience positive pressure, where-
as the bottom of the cavity becomes a zone of negative pressure, so the sides rush down towards
the bottom in order to equalize the imbalance in tension.
This sudden, dramatic increase in surface tension in the area of the former
bubble has a remarkable effect on its neighbors. Paradoxically, even though the
bubble has burst upwards, surrounding bubbles are not blown up but sucked
down into the hollow left by the disintegrated bubble cap. The shear stress is so
great that it deforms the adjacent bubbles into elongated shapes (third photo,
right). The stretching significantly increases the surface area in the surrounding
bubble caps, and they also absorb the energy released by the collapse of the cen-
tral bubble, much as a tiny air bag would do. They store this energy in the thin
liquid film of their bubble caps, a process which eventually leads to higher stresses
around these bubble flowers than would be found around single collapsing
bubbles. However, despite these violent perturbations, the neighboring bubbles
are not induced by the bursting of their central member to collapse in a chain
reaction, unlike what happens in the foam stage, largely due to the viscosity of Champagne.
The final stage of bubble collapse happens when the inrushing sides of a burst bubble collide at the
bottom of the cavity with such force that they push upwards a jet of fluid at a speed of as much as a
few meters per second (last photo, left). The jet can reach up to a few centimeters above the surface.
It then becomes unstable and breaks up into about five
or more droplets, each on the order of 100 micrometers
in diameter. Inertia and surface tension combine to
give the drops an amazing variety of initial shapes and
sizes, which then stabilize back into the expected quasi-
spherical form. The entire process of a bubble’s collapse,
from the first puncture in the bubble cap to the liquid
jet breaking up into droplets, takes only about 100 mi-
croseconds. (All photographs on this page are by Gérard
Liger-Belair and are courtesy of the authors.)
The End of a Bubble
2009 July–August 299www.americanscientist.org
300 American Scientist, Volume 97
shape. Like the flute, the coupe clearly
exhibits a single swirling ring, whose
cross section appears as two counter-
rotating vortices close to the glass axis.
What strongly differs from the motion
in the flute is that this recirculation flow
region does not occupy the whole vol-
ume of the glass. The periphery of the
coupe is instead characterized by a zone
of no motion. Thus, for a wide-rimmed
glass, only about half of the liquid
bulk participates in the Champagne-
mixing process. Nevertheless, in an
engraved glass of either shape, the
presence of a ring vortex is not time-
dependent; it still forms in the coupe,
despite the ascent time being about a
third of that in the flute.
High-speed photography can also
capture the end of a bubble’s lifespan
(see “The End of a Bubbleon page 299).
Most bubbles burst at the free surface
during their migration from the center
toward the edge of the vessel, whatever
the glass shape. Only the top of the bub-
ble emerges from the liquid, like an ice-
berg. As the fluid drains from the bubble
top over about 10 to 100 microseconds,
it reaches a thickness of less than 100
nanometers and ruptures. The inrush-
ing sides of the collapsing bubble meet
at the bottom of the cavity and cause it
to eject a jet of liquid, which breaks up
Figure 7. Glass shape and size have great influence on fluid flow and mixing in Champagne and sparkling wines. A flute imaged with fluores-
cent dye (left) shows that the resulting fluid vortex spans the entire width of the glass. A coupe glass, much shorter and wider, imaged with a
laser and polymer particles, produces a similar vortex, but the vortex zone only extends across about half of the liquid (top right). A dead zone
of no motion arises in the outer perimeter of the glass, and bubbles do not reach this area before bursting. A pseudo–dead zone beneath the
liquid surface experiences only minimal movement and mixing (bottom right).
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vortex zone
vortex zone
Figure 8. A top view of a Champagne flute shows how bubble size and patterns change over time. The glass is shown immediately after filling (a),
five minutes after (b), 10 minutes after (c) and 25 minutes after (d). As carbon dioxide outgases from the liquid, both as bubbles and directly from the
surface, the average bubble size decreases, as does the average number of floating bubbles. In the final image, late bubbles live longer and organize
a b c
2009 July–August 301www.americanscientist.org
into droplets. The jet can travel at as
much as a few meters per second and
reach up to a few centimeters above
the surface. A laser sheet in the sym-
metry plane of the glass highlights the
projection of hundreds of Champagne
droplets induced by such bursts. With
a long enough exposure time, a digital
still image gives one the feeling of visu-
alizing a splendid droplet fog in motion
above the Champagne surface.
As time increases after pouring, sur-
factant levels at the surface of the wine
increase; these interlock in the liquid
layer over the bubble caps, strengthen-
ing the surface tension and reducing the
liquid velocity of the film so it does not
drain away as rapidly, which extends
the bubble lifespan. The wine develops a
long-lasting collar of foam at the periph-
ery of the flute. Even minute amounts of
oils will instantly rupture bubble caps,
however, so it is aesthetically vital to keep
such substances (from snacks or lipsticks,
for instance) apart from Champagne.
Shape Constraints
The most significant difference in flows
between widened glasses and elongated
ones is the size of the recirculation region.
Further, a causal relationship clearly ex-
ists between the radial migration extent
of the bubbles and the size of the vortical
flow below the surface: Faster flow be-
low the surface propels the bubbles far-
ther towards the edge. There exists also
a strong relationship between the aroma
that emits from the Champagne surface
and the presence of numerous droplets
issued from bursting bubbles.
The bubble’s kinetic energy at the mo-
ment of collision with the liquid surface
has a profound influence on bubble ra-
dial velocity. In the case of a widened
glass, the short ascent distance precludes
kinetic energy sufficient to make a bub-
ble reach the edge of the glass before it
bursts. The limited liquid-swirling mo-
tion and the short lifetime of the bubbles
mean that their surface motion is con-
fined in a limited radial area of the free
surface. In a coupe glass, only about half
of the surface area participates in both
the mixing process below the liquid sur-
face and the olfactory droplet production
above the fluid. However, in the case of
a flute, once bubbles have reached the
surface, their kinetic energy level is suf-
ficient to let them reach the glass edge,
and the whole liquid surface is involved
in the aroma exhalation process.
The convective cells below the liquid
surface in a flute carry the bubbles that
have emerged from the center of the sur-
face toward the glass edge over a dis-
tance of about 2.5 centimeters, whereas
in the case of the Champagne coupe, the
distance is only about 1 centimeter.
Tiny Bubbles
Our work shows that the emission of
aromas from a Champagne glass can-
not be decoupled from what happens
below the free surface, in particular the
flow-mixing patterns. The classical en-
graved, slender and elongated Cham-
pagne glass mixes the whole domain
of the liquid phase homogeneously,
whereas in the engraved Champagne
coupe, the recirculating flow region
does not occupy the whole volume in
the glass. Instead, a zone of no motion
inhibits the formation of the desirable
collar of foam at the glass edge.
We hope that our analysis of bubble-
induced flow patterns and other objec-
tive elements of Champagne behavior
will be just the beginning of the scien-
tific study of the olfactory behavior of
Champagne and sparkling wines in a
glass. One area that merits further study
is the release of aromas from bubbles.
Droplets from bursting bubbles com-
monly contain much higher concen-
trations of aromatic compounds than
those found in the bulk of the liquid.
This is largely because bubbles attract
surfactant molecules as they ascend, the
same surfactants that can cause them
to have increased drag. In Champagne
these molecules include flavor-active
volatile thiols, as well as other alcohols,
aldehydes and organic acids.
Engraved glasses, particularly flutes,
have much more vigorous mixing than
non-engraved ones, so one would ex-
pect the etched glasses to release more
CO2 bubbles and flavor compounds. But
this may not be all good, because too
many bubbles can irritate a taster’s nose,
affecting the evaluation of the aroma
that the winemaker is trying to achieve.
We hope that there may be comparison
testing of the same Champagnes from
plain and etched glasses in the near fu-
ture. The good news is that glassmakers
are eager to experiment with various
glass shapes, and engraving shapes and
locations, in order to achieve the perfect
glass of Champagne.
Bibliography
Liger-Belair, G. 2004. Uncorked: the Science of Cham-
pagne. Princeton: Princeton University Press.
Liger-Belair, G. 2005. The physics and chem-
istry behind the bubbling properties of
Champagne and sparkling wines: A state-
of-the-art review. Journal of Agricultural Food
Chemistry 53:2788–2802.
Liger-Belair, G., F. Beaumont, P. Jeandet and G.
Polidori. Flow patterns of bubble nucleation
sites (called fliers) freely floating in Cham-
pagne glasses. Langmuir 23:10976–10983.
Liger-Belair, G., F. Beaumont, M.-A. Vialatte, S.
Jégou, P. Jeandet and G. Polidori. 2008. Ki-
netics and stability of the mixing flow pat-
terns found in Champagne glasses as de-
termined by laser tomography techniques:
Likely impact on Champagne tasting. Ana-
lytica Chimica Acta 621:30–37.
Liger-Belair, G., G. Polidori and P. Jeandet.
2008. Recent advances in the science of
Champagne bubbles. Chemical Society Re-
views 37:2490–2511.
Liger-Belair, G., J.-B. Religieux, S. Fohanno, M.-
A. Vialatte, P. Jeandet and G. Polidori. 2007.
Visualization of mixing phenomena in Cham-
pagne glasses under various glass-shape and
engravement conditions. Journal of Agricul-
tural Food Chemistry 55:882–888.
Liger-Belair, G., C. Voisin and P. Jeandet. 2005.
Modeling nonclassical heterogeneous bubble
nucleation from cellulose fibers: application
to bubbling in carbonated beverages. Journal
of Physical Chemistry B 109:14573–14580.
Merzkirch, W. 1987. Flow Visualization, second
edition. Orlando: Academic Press.
Polidori, G., F. Beaumont, P. Jeandet and G.
Liger-Belair. 2008. Visualization of swirl-
ing flows in Champagne glasses. Journal of
Visualization 11:184.
Polidori, G., F. Beaumont, P. Jeandet and G.
Liger Belair. 2008. Artificial bubble nuclea-
tion in engraved Champagne glasses. Jour-
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Polidori, G., and J. Padet. 2002. Unsteady
flow patterns in the vicinity of heated wall-
mounted transverse ribs. Annals of the New
York Academy of Sciences 972:193.
For relevant Web links, consult this
issue of American Scientist Online:
http://www.americanscientist.org/
Issue TOC/issue/1001
into a slow two-dimensional vortex that looks
something like a galaxy. They rotate because
the circular glass confines their spiral paths.
d
... The champagne bulk is therefore subjected to a continuous bubbly flow resulting in very efficient stirring processes (as long as champagne holds enough dissolved CO 2 to promote bubble nucleation). Under standard tasting conditions, the stirring of champagne under the action of rising bubbles was therefore strongly suspected to accelerate the release of gaseous CO 2 and VOC through the air/champagne interface [7]. Nevertheless, only quite recently much interest has been devoted to better understand the role of the glass shape on the global sensation perceived by the consumer. ...
... Nevertheless, only quite recently much interest has been devoted to better understand the role of the glass shape on the global sensation perceived by the consumer. In recent years, laser tomography techniques have indeed been used in order to visualize, as accurately as possible, the three-dimensional (3D) flow patterns forced by an ascending bubbly flow in the bulk of various laser-etched champagne glasses [7]. The results have shown a strong influence of glass shape regarding the mixing conditions of the liquid phase and the corresponding release of gas-phase CO 2 [8]. ...
... Both tomography laser and PIV techniques were used to predict various flow modes and revealed some vortices, attachment, and separation phenomena which were evidenced in the liquid bulk as well as at the air/liquid interface. The corresponding methodology is fully detailed in previous articles [7][8][9]. In this study, we validated our numerical results by modeling complex phenomena which were highlighted by experimental ways. ...
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The aim of the present study is to propose a reliable tool based on the CFD method which aims to predict the bubble-induced flow patterns in a champagne glass whatever its glass shape or bubbling conditions. This paper presents the various steps of the analysis which is carried out using a CFD commercial code with a 3D multiphase model based on the Eulerian–Lagrangian approach. The VOF multiphase model, coupled with a discrete phase (simulating the presence of ascending bubbles), was used to model the behavior of the liquid phase (the wine), the gaseous phase, and the interface between them. Subroutines were implemented in the 3D CFD code allowing to reproduce the process of bubble ascent dynamics. For this study aimed at qualitatively validating the numerical model, only one glass geometry is studied, and the CFD results are compared with experimental data obtained both by laser tomography and 2D PIV. Numerical simulations allowed us to test some assumptions that would be difficult to corroborate by experimental methods. Finally, the complex topological information deduced from CFD simulations turned out satisfactory and offered a realistic approach of the flow. These facts represent proofs of the predictive potential of the developed numerical tool.
... Indeed, we have known for decades that bubbling in sparkling beverages may arise from micro-scratches done in the surface of the glass (Ronteltap et al., 1991;Lynch & Bamforth, 2002). This is the reason why, years ago, glassmakers proposed to champagne and other sparkling wine tasters a new generation of glasses designed with standardized conditions of effervescence (Liger-Belair et al., 2007Polidori et al, 2009;Liger-Belair, 2016;Beaumont et al., 2024). To trigger CO 2 bubble nucleation, such glasses were simply etched on their bottom, with a ring-shaped structure done with adjoining laser beam impacts (as seen in Fig. 6). ...
... Indeed, strong differences were found concerning the kinetics of gaseous CO 2 release in the headspace above champagne glasses depending on the number of artificial bubble nucleation sites (Liger-Belair, Conreux, Villaume, & Cilindre, 2013; , as well as in beers glasses showing different laser etchings (Beaumont et al., 2024). Furthermore, since differences in the flow of gaseous CO 2 escaping from the wine exist depending on the intensity of the effervescence, it has also been proposed that concomitant differences might exist concerning the release kinetics of the aromas throughout the tasting of a sparkling wine (Liger-Belair et al., 2007Polidori et al., 2009). ...
... However, in addition to their visually attractive and aesthetic appearance, bubbles enhance the release of dissolved gas species and aromas under standard tasting condition (Liger-Belair et al. 2009). Moreover, when they ascend into the wine, the hundreds of nucleated bubbles interact with the surrounding liquid to finally set in motion the entire contents of the glass, the topology of the resulting flow being inherent to the shape of the glass (Liger-Belair et al. 2007Polidori et al. 2008Polidori et al. , 2009ab, Beaumont et al. 2015). This ascending bubble-driven flow, totally invisible to the naked eye, contributes to the release of gas-phase CO 2 and volatile organic compounds (VOCs) through the air/wine interface, both depending indeed on the mixing conditions of the liquid phase (Polidori et al. 2009a, Liger-Belair et al. 2009Cilindre et al. 2011). ...
... Moreover, when they ascend into the wine, the hundreds of nucleated bubbles interact with the surrounding liquid to finally set in motion the entire contents of the glass, the topology of the resulting flow being inherent to the shape of the glass (Liger-Belair et al. 2007Polidori et al. 2008Polidori et al. , 2009ab, Beaumont et al. 2015). This ascending bubble-driven flow, totally invisible to the naked eye, contributes to the release of gas-phase CO 2 and volatile organic compounds (VOCs) through the air/wine interface, both depending indeed on the mixing conditions of the liquid phase (Polidori et al. 2009a, Liger-Belair et al. 2009Cilindre et al. 2011). We, therefore, suspect a close link between both the presence of ascending bubbles and the glass shape, and the release of the numerous VOCs, and the gradual release of CO 2 during a tasting. ...
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Full-text available
The purpose of this paper is to demonstrate the link between the unsteady dynamics of the liquid phase, closely dependent on the glass shape, and the release of CO2 by a diffusion-convection mechanism, which is the superposition of two mechanisms, the molecular diffusion (Fick’s law) and the bubbles induced mass-transfer (convective transfer). Four glasses of different shapes were investigated. For each one, we followed the time evolution of the liquid (i.e. the wine) and gaseous (i.e. CO2) phases of the wine. The monitoring of the gaseous phase was carried out by measuring the time evolution of the diffusion velocity of gas-phase CO2 released from the air/wine interface during a tasting. In complement, particle image velocimetry (PIV) has been used to monitor the dynamic behaviour of the liquid phase. The comparison of the results for both phases revealed that the velocity at which CO2 molecules in the gas phase returns to the atmosphere is closely related to the vorticity and velocity of the liquid medium which are highly dependent on the shape of the glass. These results suggest that in a glass with a significant wine swirling intensity such as glass 1, CO2 will be released early, which will have a definite impact on the way wine is perceived. Graphic abstract Open image in new window
... When the bottle is uncorked, there is a continuous release of this dissolved CO 2 gas in the form of bubbles. Hence, this physicochemical system provides a great opportunity to study several fundamental fluid mechanics phenomena involving bubbles: their nucleation, rise, and bursting dynamics, which in turn a↵ect the taste of carbonated drinks [292][293][294][295][296][297][298]. ...
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Full-text available
Innovations in fluid mechanics have been leading to better food since ancient history, while creativity in cooking has inspired fundamental breakthroughs in science. This review addresses how recent advances in hydrodynamics are changing food science and the culinary arts and, reciprocally, how the surprising phenomena that arise in the kitchen are leading to new discoveries across the disciplines, including molecular gastronomy, rheology, soft matter, biophysics, medicine, and nanotechnology. This review is structured like a menu, where each course highlights different aspects of culinary fluid mechanics. Our main themes include multiphase flows, complex fluids, thermal convection, hydrodynamic instabilities, viscous flows, granular matter, porous media, percolation, chaotic advection, interfacial phenomena, and turbulence. For every topic, an introduction and its connections to food are provided, followed by a discussion of how science could be made more accessible and inclusive. The state-of-the-art knowledge is then assessed, the open problems, along with the likely directions for future research and indeed future dishes. New ideas in science and gastronomy are growing rapidly side by side.
... Indeed, when they migrate into the wine, the hundreds of bubbles nucleated in the glass drive the surrounding liquid by viscous effects in a very structured movement [9,10] which allows a very efficient stirring (as long as the champagne contains enough dissolved CO2 to favor the nucleation of bubbles). Under standard tasting conditions, champagne agitation under the action of rising bubbles has, therefore, been strongly suspected to accelerate the release of CO2 and gaseous VOCs across the air/champagne interface [11]. Recently, we performed measurements to determine the time evolution of dissolved CO2 concentration in four differently shaped glasses filled with 100 mL of sparkling wine [12]. ...
Article
Full-text available
This study is based on the hypothesis that the bubbles-induced vortex flows could enhance the release of carbon dioxide (CO2) from a glass of effervescent wine. To provide tangible evidence, we conducted a series of experiments, the first of which aimed to correlate the filling height and the bubble-induced flow dynamics with the CO2 volume flux released from the vessel during a tasting. The results obtained through micro-weighing and PIV experiments showed a correlation between the filling height, the mixing flow dynamics, and the amount of CO2 released at the air/wine interface by several mechanisms (bubble burst, diffusion). In order to hide the role of bubbles, we proposed a simple experimental device that consisted in stirring the wine (supersaturated in dissolved gas) mechanically, while avoiding the phenomenon of nucleation. This mechanical stirring system allowed for controlling the intensity of convective movements of the liquid phase by varying the rotation frequency of a glass rod. The results of this experiment have provided irrefutable evidence of a close link between the stirring dynamics of a wine supersaturated in dissolved gases and the release of CO2 by a mass convection-diffusion phenomenon.
... When the bottle is uncorked, there is a continuous release of this dissolved CO 2 gas in the form of bubbles. Hence, this physicochemical system provides a great opportunity to study several fundamental fluid mechanics phenomena involving bubbles: their nucleation, rise, and bursting dynamics, which in turn affect the taste of carbonated drinks [265][266][267][268][269][270][271]. ...
Preprint
Full-text available
Innovations in fluid mechanics have refined food since ancient history, while creativity in cooking inspires science in return. Here, we review how recent advances in hydrodynamics are changing food science, and we highlight how the surprising phenomena that arise in the kitchen lead to discoveries and technologies across the disciplines, including rheology, soft matter, biophysics and molecular gastronomy. This review is structured like a menu, where each course highlights different aspects of culinary fluid mechanics. Our main themes include multiphase flows, complex fluids, thermal convection, hydrodynamic instabilities, viscous flows, granular matter, porous media, percolation, chaotic advection, interfacial phenomena, and turbulence. For every topic, we first provide an introduction accessible to food professionals and scientists in neighbouring fields. We then assess the state-of-the-art knowledge, the open problems, and likely directions for future research. New gastronomic ideas grow rapidly as the scientific recipes keep improving too.
... Consumer trials suggest the varietal composition [16], and levels of carbon dioxide (effervescence) and dosage (sweetness) [17,18], can also influence tasting thresholds and sparkling wine preferences. However, it should be noted that the timing of consumption (relative to pouring) [19] and nucleation sites present in sparkling wine glasses [20] can significantly impact the organoleptic perceptions of carbon dioxide, i.e. the appearance, taste and texture of bubbles or 'fizz'. ...
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This study investigated consumer preferences for different styles of sparkling wine and the influence of wine style and occasion on sparkling wine purchasing and consumption behavior. Australian consumers (n = 203) completed an online survey and blind tasting of representative styles of commercial sparkling wines, including Champagne. Wine sensory profiles were determined by descriptive analysis using a trained panel (n = 12) and consumers were segmented into ‘No Frills’, ‘Aspirant’ and ‘Enthusiast’ clusters using the Fine Wine Instrument. Consumer perceptions, preferences and liking were measured using 9-point hedonic scales and compared via statistical analysis. Consumers anticipated liking Champagne and sparkling white wine the most, and Moscato and Prosecco the least, but on tasting, could only readily identify the Moscato and sparkling red wines, as the most contrasting wine styles. As such, liking scores for the Champagne and sparkling white wine were significantly lower based on tasting (median scores were 6.0, compared with 9.0 and 8.0 for survey responses, respectively). Consumers’ preconceived expectations of different sparkling wine styles clearly influenced purchasing and consumption behavior. Aspirants and Enthusiasts were more likely to spend more per bottle for Champagne and sparkling white wine, and consumption of these sparkling wines was most frequently associated with celebratory occasions, such as anniversaries, birthdays, Christmas, New Year and weddings.
... La bulle résultant de l'explosion, contenant une concentration élevée de CO2 gazeux, se développera par diffusion du CO2 dissous présent dans la bière (Hepworth et al. 2003 ;Blatteau et al. 2006 ;Yang et al. 2007 ;Liger-Belair et al. 2008 ;Stuart et Craig 2010). Pendant qu'elles montent à la surface, les bulles vont grossir et attirer des protéines ce qui crées ce surmoussage (Polidori et al. 2009). ...
Thesis
Le giclage de la bière est un phénomène de surmoussage qui a lieu lors de l’ouverture de la bouteille. Ce phénomène va être dépendant des conditions de développement du grain d’orge, la matière première de la bière, et notamment des conditions climatiques. Ces dernières années, le phénomène est observé de manière plus fréquente, et les techniques actuelles, comme la méthode Carlsberg, ne prédisent qu’un risque potentiel de giclage de la matière première avec une importante incertitude. Un test de criblage rapide de la matière première permettant l’identification de facteurs responsables du giclage est donc primordiale pour détecter précocement le risque de ce phénomène. Néanmoins, un manque d’informations et de recul sur les composés impliqués dans le giclage limite le développement de méthodes de prédiction rapide du risque. L’objectif principal de cette étude est d’identifier un ou des composés pouvant être à l’origine du phénomène de giclage de la bière. L’étude a été réalisée sur différents malts industriels présentant un risque giclage ou non et des orges artificiellement contaminées par des moisissures. Les extraits de malt obtenus sont des mélanges éminemment complexes. Ils ont été fractionnés par des procédés appropriés selon les propriétés de leurs constituants : par la taille, les propriétés moussantes et l’hydrophobie. Une réduction de la complexité de l’extrait a été nécessaire et obtenue par des techniques de séparation membranaire. Néanmoins, les macromolécules tels les glucides, les protéines et les polyphénols n’ont pas pu être isolés par ce procédé. La séparation par chromatographie de phase inverse a permis d’obtenir de bonnes informations sur la diversité des protéines présentes dans l’extrait mais l’analyse du potentiel giclage en aval reste limitée. Pour simuler des conditions réelles « comme au champ », une contamination artificielle de l’orge suivie d’une extraction en surface ont été réalisées. Le potentiel giclage des molécules issues de cette extraction a ensuite été analysé. Une purification de phase inverse a permis d’isoler une fraction concentrant les propriétés giclantes. Cette fraction contient des protéines très hydrophobes qui semblent être impliquées dans le giclage. L’identification des protéines après séparation en gel bidimensionnel a montré que ces protéines proviennent de la moisissure. Une protéine avec des propriétés proches des hydrophobines (hydrophobie et taille comparables) appelée Epl 1 a été identifiée et pourrait être un bon candidat responsable du giclage de la bière. En conclusion, la méthodologie développée dans la thèse a permis d’acquérir une meilleure connaissance des composés produits par les moisissures en surface d’orge et est applicable à d’autres orges contaminées ainsi qu’à du malt industriel
... In addition, during their migration towards the surface, the bubbles put the liquid in motion by a viscous driving process. This movement, totally invisible to the naked eye but revealed by laser tomography, 28 will allow a continuous mixing of the wine which will accelerate the discharge of CO 2 by a diffusion process. ...
Article
Full-text available
This study is based on the findings that a glass of sparkling wine that releases its dissolved CO 2 too quickly will see the effervescence and aromas carried by the bubble disappear prematurely. Thus, a thorough knowledge of the processes related to the release of gaseous CO 2 is fundamental for the consumer as well as the oenologist or the glassmaker. In this study, the contribution of the glass shape on the gradual release of dissolved carbon dioxide was assessed during the first ten minutes following the pouring process. Measurements carried out on 4 glasses showed that for the same quantity of wine and under identical tasting conditions, the dissolved CO 2 concentration evolved differently from one glass shape to another. The results showed that in the first 10 minutes after the pouring process, INAO glass loses 34% of its initial dissolved CO 2 concentration compared to 58% for the flute “effervescent”. Ultimately, these results demonstrate the existence of a close link between the glass shape and the amount of dissolved CO 2 which is the main parameter in the tasting of sparkling wine. The link between the amount of dissolved gas, the glass shape and the release of aromas from the wine is a huge challenge which will be the subject of future studies.
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Book
Uncorked quenches our curiosity about the inner workings of one of the world's most prized beverages. Esteemed for its freshness, vitality, and sensuality, champagne is a wine of great complexity. Mysteries aplenty gush forth with the popping of that cork. Just what is that fizz? Can you judge champagne quality by how big the bubbles are, how long they last, or how they behave before they fade? And why does serving champagne in a long-stemmed flute prolong its chill and effervescence? Through lively prose and a wealth of state-of-the-art photos, this revised edition of Uncorked unlocks the door to what champagne is all about. Providing an unprecedented close-up view of the beauty in the bubbles, Gérard Liger-Belair presents images that look surprisingly like lovely flowers, geometric patterns, even galaxies as the bubbles rise through the glass and burst forth on the surface. He illustrates how bubbles form not on the glass itself but are "born" out of debris stuck on the glass wall, how they rise, and how they pop. Offering a colorful history of champagne, Liger-Belair tells us how it is made and he asks if global warming could spell champagne's demise. In a brand new foreword, renowned chemist Hervé This places the evolution of champagne within the context of molecular gastronomy and the science of cuisine, and in an original afterword, Liger-Belair updates the reader on new developments in the world of bubble science and delves even more deeply into the processes that give champagne its unique and beautiful character.
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This paper deals with experimental modeling of the unsteady junction flow features in the vicinity of an isoflux heated wall with mounted insulated rectangular ribs representing three distinctive ribbed test geometries. Both flow visualizations and surface temperature distributions show that the blockage effect upstream of the ribs, as well as the presence of complex eddy structures inside the open cavities, significantly affect the heat transfer process. All the configurations indicate degraded heat transfer performance in the area close to the ribs and an enhancement just downstream from the last rib.
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In this review, the latest results about the chemical physics behind the bubbling properties of Champagne and sparkling wines are collected and fully illustrated. The chemistry of carbon dioxide molecules dissolved into the liquid matrix (section 2) is presented, as are the three main steps of a fleeting bubble's life, that is, the bubble nucleation on tiny particles stuck on the glass wall (section 3), the bubble ascent and growth through the liquid matrix (section 4), and the bursting of bubbles at the liquid surface (section 5), which constitutes the most intriguing, functional, and visually appealing step.
Article
In this paper, the kinetics of CO(2) bubble nucleation from tiny gas pockets trapped inside cellulose fibers immersed in a glass of champagne were investigated, in situ, from high-speed video recordings. Taking into account the diffusion of CO(2)-dissolved molecules from the liquid bulk to the gas pocket, a model was derived which enabled us to connect the kinetics of bubble nucleation with both fiber and liquid parameters. Convection was found to play a major role in this process. The boundary layer around the gas pocket where a gradient of CO(2)-dissolved molecules exists was also indirectly approached and found to be in the order of 10-20 mum. Because most of the particles adsorbed on the wall of a container or vessel free from any particular treatment are also believed to be cellulose fibers coming from the surrounding air, the results of this paper could be indeed extended to the more general field of nonclassical heterogeneous bubble nucleation from supersaturated liquids.
Article
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Article
Laser tomography techniques were used to capture the dynamics of bubbles released from particles (arbitrarily called fliers) freely floating in traditional flutes poured with champagne. By use of long exposure time photography, the trajectories of bubbles released by fliers were found to leave very elegant and characteristic "prints" as they crossed a section of champagne illuminated with a 1 mm thick laser sheet. This characteristic print was made with a succession of lighting filaments. Fine analysis of these prints left by fliers enabled us to deduce the bubbling frequency of each flier (which ranged from about 4 bubbles/s up to about 22 bubbles/s a few seconds after pouring), as well as its velocity through the liquid medium (which ranged from about 0.8 mm/s to about 7.6 mm/s). Finally, this flow visualization technique, very recently applied to the science of champagne and sparkling wines, also proved to be a useful technique to underscore fliers' bubbling instabilities along their rather erratic way through the liquid medium.
Article
Laser tomography techniques were used in order to make visible the flow patterns induced by ascending bubbles in flutes poured with champagne. The stability of flow patterns was investigated in flutes showing natural (without any specific surface treatment) as well as artificial effervescence (i.e., engraved at their bottom), all along the first 15min after pouring. Engravement conditions were found to strongly influence the kinetics and the stability with time of the mixing flow phenomena found in champagne glasses.