Title: Meandering Streams
1Meandering Streams
By Ryan Hitchman Charlie Mathies
Katelyn Miller Kelly Carpine David
Moore
2Types of Data Analyzed
- Distance from output to 1st Braid
- Distance from output to spray
- Maximum Amplitude of Meandering
- Frequency, length, and the distance moved of a
half-wavelength
3Distance from Output to 1st Braid
- The distance is constant for each of the two flow
rates and each of the angles of depression used - Given a fixed angle of depression this distance
seems to be directly proportional to the rate of
flow
4DataDistance from output to 1st braid
- Angle of depression 50
- Flow rate 14.01
- Distance 15.5 cm
- Flow rate 8.85
- Distance 9 cm
- Angle of depression 60
- Flow rate 14.17
- Distance 14 cm
- Flow rate 9.29
- Distance 8 cm
5Distance from the Output to the Breaking point
6DataDistance from output to breaking point
7More DataDistance from output to breaking point
8Average distance to breaking points
- Angle of Depression 50
- Flow rate 14.01 ml/sec
- Avg. 59.96 cm
- Flow rate 8.85 ml/sec
- Avg. 46.04 cm
- Angle of Depression 60
- Flow rate 14.16 ml/sec
- Avg. 58.52 cm
- Flow rate 9.29 ml/sec
- Avg. 46.68 cm
9Conclusion on breaking point
- Similar flow rates result in approximately the
same distance from the output to the breaking
points - Angle of depression does not seem to play a
significant role in determining the breaking
point
10Maximum Amplitude of Meandering
11Conclusions for meandering amplitude
- Meanders were a fairly consistent amplitude from
left to right within a particular flow rate - Lower flow rates had a greater amplitude of
meandering - Higher flow rates had a smaller amplitude of
meandering
12Frequency, length, and distance moved of
Half-Wavelength
13Measurements
- A half-wavelength
- Measured the time it takes for one to form until
it breaks apart - Measured the length of the half-wavelength over
time - Measured the distance the half wavelength was
from the 1st braid over time
14Half-Wavelength Data
15Data on frequency, length of a half-wavelength,
and distance moved from 1st braid
Video 1
16Conclusions on Half-Wavelengths from Video 1
- With an angle of depression of 50 and a flow
rate of 14.01 ml/sec, a half wavelength does the
following things - Lasts for approximately .481 seconds
- Usually started with a length of 10 cm and grew
to a length of 18 cm - Starts 10 cm from the 1st braid and would move
down the surface about 15 cm - Overall, the data was rather consistent for using
the higher flow rate
17Data on frequency, length of a half-wavelength,
and distance moved from 1st braid
Video 2
18Conclusions on Half-Wavelengths from Video 2
- With an angle of depression of 50 and a flow
rate of 8.85 ml/sec, a half wavelength does the
following things - Is rather chaotic in all aspects
- The time it takes for each ranges from 0.133
seconds to 1.067 seconds. - Some of the half-wavelengths remained a constant
length over time, while others grew in length by
9 cm. - The distance the half-wavelength moved until
breaking apart varied from 2 cm to 18 cm.
19Steps for further study
- Use many different flow rates to determine the
distance from output to first braid - Look at different surfaces and examine the
effects to braids, meanders, and distance to
spray - Use symbolic dynamics to analyze the meandering
amplitudes - Analyze more data at different flow rates to
determine when meandering is fairly predictable
and when it is chaotic