| Index |
Natural Example | Model | Data | Results | Analysis | References |
| Physics |
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The
main force working on the glacier is the force of gravity (MG) on the
flubber in the system. The gravity forces the mass of flubber to
flow downhill (down the plexiglass valley). The opposing forces
are that there is a resistance of the flubber on the plexiglass
(Fp). Then when the flubber reaches the water the friction at the
base will lessen, and then as the flubber continues down the plexiglass
and onto the base of the tub, there is additional friction (Ff) along
the base of the glacier. The other forces working on the system
are the buoyancy force of the flubber (Fb) and the hydrostatic pressure
(Hp) of the water keeping the flubber from expanding more than it has
already. This hydrostatic pressure is due to the displacement of
the water by the flubber causing there to be a larger force due to the
water because of the increase in the amount of flubber in the water. When running the model there is little vertical displacement of the water, but this is most likely due the fact that there is a large amount of salt water in the 80 x 45 x 12 cm container (36000 cubic cm of salt water) and not a significant amount of water is displaced. This means that the hydrostatic pressure did not affect the flubber lobe until the lobe was significantly large. Also the friction of the plexiglass changed as the flubber got to the water line where the flubber was then slowed down slightly even thought there was a decrease in the amount of friction at the base of the system. Top |
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The cartoon on the left shows the velocity of the flubber at the boundary between the plexiglass and the free volume area. In Time 1 there is a change in velocity as the depth of the flubber changes. This leads to the top of the flubber column to move faster than the bottom and this is due to friction between the flubber and the plexiglass. This leads to the shape of the flubber in the water to be curved as is seen in the cartoon. The upward shaped curve is due to the buoyancy of the flubber in the salt water. Time 2 is right after the calving event. When this happens there is a release of the hydrostatic pressure on the flubber. In the system the velocity gradient becomes a strong factor on the system. Because the top of the flubber is moving faster than the base the top of the flubber starts to over take the base of the flubber and it curves downward into the water. Because of the velocity gradient there is a surge or acceleration of the flubber on the surface. The side views of the fourth run from the fourth run are below. |
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This
picture is taken from the final placement of the lobe in the second run
of the flubber model.
This run did not have calving events. This side view shows that
the
base of the flubber does not move as fast as the top. This can be
seen
in the layered ellipsoids (same color layers) bending down into the
water in the front part of the lobe that is produced by the
flubber. There is also a good view of the increase in the thickness of the flubber as the flubber goes down the plexiglass valley. You can also see the affect of friction of the sides of the plexiglass on the flubber by the stretching of the flubber ellipsoid. |
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This picture is taken from the final placement of the lobe in the second run of the flubber model. This run did not have caving events. In this picture the change in the velocity gradient can be seen. The blue layer of flubber at the plexiglass limit is not vertical like it should be if the flubber was moving at the same velocity. The top of the blue column of flubber is further to the right than the rest of the column. This is due to the top of the flubber column moving faster than the base of the column. Top |
| Side view before first calving event |
Side view after first calving event |
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| In
this picture the lobe of flubber is building in the typical shape with
the flubber starting to float at the margin of the lobe. The
flubber is grounded at this stage with there being thickening of the
flubber as it reaches the water. In this picture the
difference in the speed of the flubber from the top to the bottom can
be seen by the change in the shape of the flubber as it goes further
into the water. |
In
this picture the flubber has been cut at the edge of the plexiglass
valley. It can also be seen in this picture the uneven cutting of
the flubber. The top part of the freshly cut flubber lobe is
already moving faster than the base of the flubber causing the top of
the flubber to "fall" into the water and move downward and causing the
flubber to thin vertically. |
| Side
view before second calving event |
Side
view after second calving event |
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| In
this picture the flubber is completely grounded with little evidence
for the change in the vertical velocity. All of the flubber in
this picture is grounded. |
After
the calving event there is an even stronger difference in the velocity
due to the uneven shape of the flubber at the top of the flubber. |
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This
is the final side view of the flubber for this run. In this
picture the flubber shows that there was a change in the velocity
gradient and that the buoyancy force was acting in this lobe. The
shape also shows that there was a thinning of the flubber as it went
further into the water. This shows evidence for the top of the
flubber moving faster than the base of the flubber. It can also
be see by the bright pink flubber at the base of the lobe, where there
was no pink flubber at the base of the flubber, because it was added
later in the run at the top of the flubber glacier. Top |