Meandering Streams

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Meandering Streams
By Ryan Hitchman Charlie Mathies
Katelyn Miller Kelly Carpine David
Moore
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Types 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

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Distance 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

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DataDistance 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

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Distance from the Output to the Breaking point
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DataDistance from output to breaking point
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More DataDistance from output to breaking point
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Average 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

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Conclusion 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

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Maximum Amplitude of Meandering
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Conclusions 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

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Frequency, length, and distance moved of
Half-Wavelength
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Measurements

• 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

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Half-Wavelength Data
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Data on frequency, length of a half-wavelength,
and distance moved from 1st braid
Video 1
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Conclusions 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

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Data on frequency, length of a half-wavelength,
and distance moved from 1st braid
Video 2
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Conclusions 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.

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Steps 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