Results shown below are published in the paper
Viscous beads on thin
vertical fibre
in Journal of
Fluid Mechanics , 429, 381-390, (2001).
The picture below won the Gallery
of Fluid Motion Award,
American Physical Society
meeting, APS-DFD 2000.
The photograph also appeared in the book by
M. Samimy, P. Steen, K. Breuer, G. Leal
"Gallery of Fluid Motion", 2003, published by Cambridge University
Press,
and will appear in the book by S.P. Lin
"Breakup of Liquid Sheets and Jets", 2003, by Cambridge University
Press.
A thick viscous film of castor oil on a vertical wire is unstable and
forms beads.
The Reynolds number of the flow is very small, typically 0.01. The
small marks on
ruler are 1 mm apart. As a fiber, nylon fishing line of radius 0.25
mm was used.

Three distinct regimes of the flow were observed. The first regime is observed
for
relatively large flow rates. In this case, the drops are large and
move rapidly.
The film between the drops is relatively thick and practically uniform.
The average
distance between the drops is relatively large. The large drops sometimes
collide
with each other in an irregular fashion; the process of collision is
very fast.
In the second case, the drop train is highly organized;
the shape, speed and distance between the drops are permanent in time.
This regime was observed in a relatively small range of flow rates.
For very small flow rates, the drops become larger, they are substantially
more
separated in space, and the film in the space between the large drops
is not uniform,
but shows a periodic growth of disturbances. Large drops collide with
growing lobes
ahead of them, consume them, and continue to move. During the collision,
the large
drops move faster. As a result, the instantaneous velocity of large
drops changes
periodically in time. |
Results shown below are partly discussed in the
paper
Continuous chain
of bubbles in concentrated polymeric solutions
in Physics of Fluids,
14, 3375-3379, (2002).
The picture below got the Gallery
of Fluid Motion Award,
American Physical Society
meeting, APS-DFD 2002.
The fuller set of photographs will appear in the book by R.P. Chhabra
"Bubbles, Drops and Particles in Non-Newtonian Fluids", 2nd Edition,
published by CRC Press.

(from left to right)
FIG. 1. Formation of the chain of large bubbles in a very viscous mineral
oil polymer solution. The marks on the ruler are 1 cm apart.
FIG. 2. Fast formation of the chain of bubbles in 2% methocel solution
in water.
FIG. 3. Chain of bubbles in 2% methocel solution in water.
FIG. 4. Chain of bubbles in red-colored hand soap. Most commercially
available
hand soaps contain polymers methocel and/or others .
Everyday experience shows that a stream of air in a Newtonian
liquid, such as water,
breaks down into bubbles through the RayleighTaylor instability.
In other words,
aquarium pump in aquarium full of water will produce usual bubbles.
Now, what will
happen if aquarium is full of liquid hand soap ?
Remarkably enough, the result might be something like shown on the
picture above.
The bubbles may form a very stable, continuous, slowly rising,
connected long chain
similar to beads, or bubble " sausage", or necklace.
It turns out that liquid hand soap contain polymers; this is important.
In concentrated polymer solutions such as hand soap the
elastic properties
of the polymers can alter the development of the RayleighTaylor
instability.
In particular, the breakdown of the air stream can be arrested and,
as a result,
instead of individual bubbles, a long chain of bubbles forms. The bubbles
in the
chain are connected by thin necks. There is relatively fast motion
of the
polymer liquid near the necks of rising bubbles. The presence of polymers
prevents the necks from collapsing. The complete structure is very
stable and
can be observed in a broad variety of polymer solutions, both water-based
and
organic. The phenomenon does not appear in diluted polymer solutions.
There is a minimal concentration threshold for the chain formation.
For aqueous methocel solutions, the minimal concentration is 2%.
Also, there is a minimal air flow rate necessary to support the chain;
for a
very small flow rate, the air stream breaks down even in concentrated
polymer solutions. For 2% aqueous methocel solution, the minimal flow
rate is about 3.7 cm3/s. |