Introduction
Most schools in the U.S. are
far from active volcanoes, and few students have the opportunity to
witness eruptions. Simulations of eruptive processes, or analog models,
provide ways for students to visualize eruptive processes and apply basic
physical principles when field observations are not feasible. In this
paper, we describe a safe simulation of violent volcanic explosions, one
that can be carried out simply and easily as a demonstration for
specialized volcanology classes, introductory classes, and science
outreach programs.
Volcanic eruptions are fundamentally gas-driven phenomena.
Depressurization of volatiles dissolved in magma during ascent is the
driving force behind most explosive eruptions. Furthermore,
phreatomagmatic eruptions result from the conversion of water to steam
during magma-water interaction. During an eruption, the exsolution and
expansion of gas causes ascent velocity of the magma to increase. When the
volume fraction of bubbles exceeds about 80%, the magma fragments
explosively and is carried by a gas stream (e.g. Sparks, 1978).
We have developed a demonstration whereby the instructor can
initiate a gas-driven eruption, which produces a dramatic but safe
explosion and eruptive column. First, one pours liquid nitrogen into a
weighted, plastic soda bottle, which is then sealed and placed into a
trashcan filled with water. As the liquid nitrogen boils, the pressure
inside the bottle increases until it fails, resulting in an explosion. The
expansive force propels a column of water vertically, to 10 or more
meters. Because liquid nitrogen is thermodynamically unstable at room
temperature (boiling point at 1 atmosphere: -195.8°C),
its boiling provides the pressure necessary to cause an explosion,
illustrating an important process that drives real volcanic eruptions
(e.g., Francis, 1993).
As with most
simulations, this one is imperfect. Unlike magma, the gas does not exsolve
from the liquid, and consequently it is not dispersed throughout the water
prior to explosive expansion. Also, there is no real transfer of heat
during the eruption. Nevertheless, it is an exceedingly effective
demonstration of gas-driven liquid explosions and one that is safe if done
properly.
Basic Procedure
Most of the supplies necessary for this demonstration are
common items; liquid nitrogen is the only material that may be difficult
to obtain, but it is frequently used in science demonstrations (e.g.,
Nolan and Gish, 1996; McRae et al., 2002) and can be obtained on most
college campuses or from gas supply companies at relatively low cost. Here
we describe the details of the procedure (Table 1 includes further
equipment details):
- IMPORTANT
SAFETY ISSUES:
- Be sure to
inform all participants of the potential dangers of contact with
liquid nitrogen (e.g., Young, 2003) and the risks of sealing liquid
nitrogen in closed containers. The Material Safety Data Sheet on
liquid nitrogen is available at
http://msds.ehs.cornell.edu/msds/msdsdod/a97/m48467.htm;
- Metal
garbage cans are inappropriate for this demonstration, because they
simply rupture along the welded seams. In most cases, we use a
high-grade, plastic contractor’s trashcan (Table 1).
- Only two
people should carry out the demonstration. They must have clothing
covering their legs, arms, and feet and they must wear safety glasses
and gloves throughout the process.
- Prior to
handling any liquid nitrogen, the demonstrators should do a practice
run of the entire procedure. We recommend that the two participants
rehearse their roles several times until everyone is confident of
their part in the demonstration process, without hesitation.
- Make sure
the audience members remain at least 5 meters from the trashcan at all
times.
- Fill the
trashcan about 80% full of water. This is about 95 L (25 gallons),
nearly 100 kg, thus the trashcan should be filled at the exact site
where the explosion is to take place. The demonstration is more
impressive if the trashcan is located on a horizontal paved surface, not
grass, and never on a cart.
- Secure a 0.5
to 1 L plastic soda bottle to 1-2 bricks using duct tape around the
middle of the bottle. Align the bottom of the brick(s) with the bottom
of the soda bottle, so that the brick-bottle apparatus stands freely.
Ensure that the weight of the brick(s) is sufficient to keep the bottle
submerged by performing a practice run with an empty bottle. The sealed
bottle and brick must submerge completely.
- Set the open
bottle and attached brick upright on the ground with the funnel in it.
Have one individual hold the cap, so that it can be placed on the bottle
quickly.
- One person
holds the funnel far enough out of the bottle opening to make an air
outlet for the gas, otherwise boiling liquid nitrogen splashes out, and
the bottle will not fill efficiently.
- The second
person pours the liquid nitrogen through the funnel into the bottle
until the bottle contains approximately 20-30 mL of liquid nitrogen
(i.e., 2-5 cm depth from the bottom). The amount need not be precise,
and much of the nitrogen boils away as it is poured.
- Time is of the
essence at this point. The person holding the funnel should toss it
aside and cap the bottle tightly. Be sure not to cross-thread the cap.
It is critical that the cap be finger tight, so the bottle is well
sealed.
- Within no more
than 5 seconds, one of the demonstrators should pick up the bottle/brick
apparatus and drop it gently in the garbage can. Try to put the bottle
in the center of the can and not against a side, where it is more likely
to rupture the plastic walls.
- After
immersion of the N2(l)-filled bottle and brick, the two people performing the demonstration
should walk away quickly and wait, at least 5 meters from the can. There
is a delay of approximately 10-30 seconds before the explosion, so they
do not need to run. The liquid nitrogen undergoes a phase change into
gas. In the absence of the confining bottle, the small amount of liquid
in the soda bottle would expand (at standard temperature and pressure)
to well over 20 L. Because they are built to sustain overpressures from
carbonated drinks, the bottle resists the expansion while pressure
builds. Eventually, the bottle ruptures, and the force of the gas
expansion passes into the water, resulting in an eruption column of
water several meters high. The garbage can often makes an impressive
jump as well.
- If the bottle
does not explode within the anticipated 10-30 seconds, do not approach
it; we have seen the rare event where the bottle is particularly strong
and resists for close to a minute. If you see vapor bubbling out of the
can (which is just escaping nitrogen), then there is a leak in the cap
or bottle, and it may or may not explode. There is a tendency for
impatience at this point, but under no circumstance should anyone
approach the trashcan until they are positive that the bottle has failed
and all of the N2(l) has boiled away, and then only the demonstrators (with covered shoes
and safety glasses) should go to the trash can. In our experience, the
most common mistake is that the cap is not put on properly, which is not
a dangerous situation.
Pedagogical Uses of the Eruption
Column Demonstration
Introductory Level and Community Groups
At the simplest level, the eruption column demonstration
illustrates gas-driven eruptions, dispelling the common misconception that
there is some kind of fire or hot explosive involved in volcanic
eruptions. Because the blast is short-lived, it is best to explain the
procedure and its significance first, then carry out two detonations, so
people can watch the second more carefully after the surprise of the first
explosion. We have performed this experiment for groups as large as 500
people, provided there is an outdoor amphitheater of some kind. We
routinely carry out the demonstration for students of all ages.
A modification of
the demonstration simulates the famous lateral blast at Mt.
St. Helens on May 18, 1980. An
inexpensive trashcan will usually fail along one of the molded seams,
propelling some of the water laterally.
Volcanology Course
At both Colgate and the
University of Idaho, we have expanded this demonstration into a series of
guided inquiry investigations (e.g., Smith et al., 1995; Beiersdorfer and
Beiersdorfer, 1995) with a small class (20-35 students) of advanced
students. Each group of 3-5 students has a trashcan full of water,
a selection of bottles, material to simulate tephra (Table 1), and a
measuring tape. They go through a detailed safety orientation covering
liquid nitrogen safety prior to embarking on the exercise. The groups then
design their own experiments to address the following problems, or others
they generate in the investigative process:
a.
By measuring the height of the eruption column, students can use
basic physics to calculate the ejection velocity of the water
propelled from the trashcan and compare the results to the velocities
observed at actual volcanic eruptions.
b.
Using their calculated ejection velocities, students can
then determine the pressure needed to propel the water column using the
modified Bernoulli equation: ½ U2 = (Pi – Ps)
/ S, where U is the ejection velocity in m/s, Pi is the
reservoir pressure (in Pascals, Pa), Ps is atmospheric pressure
(Pa), and S is the magma density (the density of water in kg/m3).
The students can once again compare their results to observations from
real volcanic eruptions.
c.
Students can use the estimated volume of gaseous nitrogen in
the soda bottle (via the ideal gas law) and the volume of water in
the trashcan to calculate the average vesicularity prior to eruption,
which they can then compare to theoretical estimates of fragmentation
(Sparks, 1978). The density of N2(l)
is ~0.807 g/cm3 under standard conditions.
d.
Styrofoam peanuts or spheres of different sizes, such as tennis
balls and apples can be used to simulate ballistic pyroclasts. After the
eruption, students can construct isopleth maps of the clasts. The
different densities and aerodynamic shapes of the “clasts” reproduce the
distributions of volcanic bombs, blocks, and cinders.
e.
Different vessels for the demonstration affect eruption
style as well. For instance, a small rigid-sided wading pool generates a
base surge and a shorter eruption column. As mentioned above, a cheap
soft-sided trashcan is likely to fail along its seams, yielding a lateral
blast.
Conclusion
This
simulation operates on physics similar to that which drives volcanic
eruptions, but on a scale accessible to students. Furthermore, the
simulation permits interaction and experimentation with the driving forces
behind eruptions, more so than can be accomplished by narrative or video
footage. This demonstration has repeatedly proven to impress students of
volcanology ranging from first-graders to professors (including a group of
high school and college physics instructors at a national physics
conference). In addition to being visually impressive, it provides a safe
means to illustrate and explore explosive volcanic phenomena.
Table 1. Supplies for Eruption Column
Demonstration
Basic Version of Demonstration
¨
Industrial strength
plastic garbage can (a “contractor’s” trashcan, usually ~$35-40 at most
home supply stores); these are generally re-usable. Avoid small buckets or
other light plastic containers, as well as metal cans; all of these will
be destroyed in the blast and the metal cans will split along their seams
and possibly send out shrapnel.
¨
Soda bottles (16-20
ounce size is most convenient, but the 2 L bottles are equally effective)
with their caps. Water bottles generally do not yield the same magnitude
eruption, because they are not as strong as soda bottles and fail before
pressure builds up significantly. One bottle is needed per demonstration,
and several back ups should be on hand.
¨
Duct tape
¨
2 bricks or a large
cinder block (must prevent the soda bottle from floating)
¨
Hose from faucet to site
of detonation (a full trashcan is difficult to move to a new location)
¨
Safety glasses for all
participating individuals (usually 2)
¨
Insulated gloves for
liquid nitrogen protection (two pair per demonstration set-up)
¨
The people performing
the demonstration must wear closed-toe shoes, long pants, and long-sleeved
shirts
¨
Liquid nitrogen (~20 mL
per explosion) in a Dewar
¨
Funnel for pouring the
nitrogen, preferably plastic
Lateral Blast
(e.g., Mount St. Helens)
¨
Use an inexpensive
plastic, residential curbside trashcan with indentations in the side
($8-12; e.g., Falcon 32-gallon molded black plastic “heavy duty” can);
these generally fail in the explosion, resulting in a lateral blast, but
the can is obviously not reusable. Stronger cans that have been damaged or
have cracks in them also work for this version of the demonstration.
Distribution of
Tephra
¨
Various floating objects
that are neither sharp nor hard (apples, half-filled water balloons,
Styrofoam packing peanuts or other non-water soluble packing material,
tennis balls, etc.), placed in the can prior to detonation
¨
Tape measure
|
|
References Cited
Beiersdorfer, R.E. and Beiersdorfer, S.I., 1995, Collaborative learning in
an advanced environmental-geology course, Journal of Geoscience Education,
v. 43, p. 346-351.
Francis,
P., Volcanoes: A Planetary Perspective (1993), Hong Kong, Oxford
University Press, 443 p.
Liquid
Nitrogen Haiku,
http://www.goer.org/Journal/2002/Feb/
McRae,
R., Rahn, J.A., Beamer, T.W., and LeBret, N., 2002, The Liquid Nitrogen
Fountain, Journal of Chemical Education, v. 79, no. 10, p. 1220-1221.
Nolan,
W.T. and Gish, T.J., 1996, The Joys of Liquid Nitrogen, Journal of
Chemical Education, v. 73, no. 7, p. 651-653.
Smith,
D.L, Hoersch, A.L., Gordon, P.R., 1995, Problem-based learning in the
undergraduate geology classroom, Journal of Geoscience Education, v. 43,
p. 385-390.
Sparks,
R.S.J., 1978, The dynamics of bubble formation and growth in magmas: A
review and analysis, Journal of Volcanology and Geothermal Research, v. 3,
p. 1-37.
Young,
J.A., 2003, Liquid Nitrogen, Journal of Chemical Education, v. 80, no. 10,
p. 1133.
Acknowledgements
We would like to thank the
Colgate University “Volcano Cowboys” for their unerring dedication to
refining the demonstration method, including (but not entirely limited
to): David Kolodney, Adam Skarke, Jay Barr, Evan LeBon, Scott Annan,
Nathan Rollins, Ashley Nagle, and Vanessa Simpson. DJG would like to thank
the forgiving Secret Service agent who visited him when he performed the
demonstration on the same day a supreme court justice visited campus.
|