Ice - IYPT Archive
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Transcript Ice - IYPT Archive
Reporter: Hsieh, Tsung-Lin
Question
A wire with weights attached to each end is placed
across a block of ice.
The wire may pass through the ice without cutting
it.
Investigate the phenomenon.
Outline
Experimental setup
Typical results
Hypothesis
Pressure effect
Weight
Thermal conductivity
Curvature
Other effect
Summary
Experimental Setup
Ice
Camera
Weights
Typical Result
The wire position is
obtained by MATLAB
program.
Duration: 1 hr
Pressure Effect
Ice under the wire tends to melt.
Heat
Schematic Phase Diagram
Pressure
Wire pressure
Atmospheric
pressure
Solid
Liquid
Ice
Gas
Temperature
Schematic Phase Diagram
Pressure
Wire pressure
Cutting
Atmospheric
pressure
Ice+Water
Hot
Absorbing
heat
Cold
Liquid
Solid
Gas
Temperature
Schematic Phase Diagram
Pressure
Hot
Cold
Releasing heat
Atmospheric
pressure
Solid
Liquid
Ice
Gas
Temperature
Pressure effect
Weight
Thermal conductivity
Curvature
Hot
Cold
Speed at Center
Speed of the center of the wire after it sinks into the
ice.
distance
Weight
Stainless steel
wire 0.4mm
3kg: 0.11
4kg: 0.18
5kg: 0.26
6kg: 0.30
7kg: 0.39
8kg: 0.49
(cm/min)
Weight vs. Speed at Center
Stainless steel
wire 0.4mm
Pressure
l
s
g
Temperature
Mathematical Estimation
• Heat conducting rate:
dQ
A
dm
k T L
L( Av )
dt
d
dt
• From Clausius-Clapeyron equation,
T0 T
P L ln
T0
A
l
• Center speed upper limit
v 101 cm / min
d
• Pressure effect plays an important role.
Hot
Cold
Material vs. Speed at Center
Thermal Conductivity
(W/m-K)
Aluminum : 235
Steel : 16.3
speed: 0.34
cm/min
speed: 0.30
cm/min
Good thermal
conductor cuts faster.
Water Flow Video
Pressure and Curvature
T
T
θ
F 2T sin T
A 2r * d rd
1
curvature
r
Cross-section of the Wire
θ
r
θ θ
d
Ice
Cutting Speed
After the whole wire sinks into the ice:
External heat
input is more
significant
Left side
Pressure effect
dominates
center
External Heat Effect
Water melts due to
external heat input
It can solidify again
because the temperature
inside the ice is below
00C (-150C~ -0.60C). External
heat
Summary
The wire passes through the ice
Pressure effect
External heat effect
The ice regelates (without being cut)
Pressure releases
Temperature inside the ice is below 00C
Thank you for your attention.
Ambient Temperature
The “speed at center”
is almost constant.
Repeatable in
different temperature
(230C~280C).
Ambient heat can be
neglected.
Weight
6kg: 0.12
4kg: 0.06
3kg: 0.05
(cm/min)
Temperature inside the Ice
Time interval:
5 min
Time interval:
5 min
Curvature vs. Speed
At the Beginning of Cutting:
Pressure effect
dominates
Left side
center
Patterns formed on regelated ice
Speed v.s. Curvature –at time 1
In the middle of the ice, speed
is positively related to the
curvature.
The speed is faster at both side
because of external heat.
Fig. Speed of the whole wire
Fig. Acceleration
Speed v.s. Curvature –at time 2
In the middle of the ice, speed
is positively related to the
curvature.
The speed is faster at both side
because of external heat.
Fig. Speed of the whole wire
Fig. Acceleration