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Meandering Streams

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Distance from Output to 1st Braid ... and distance moved from 1st braid ... Starts 10 cm from the 1st braid and would move down the surface about 15 cm ... – PowerPoint PPT presentation

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Title: Meandering Streams


1
Meandering Streams
By Ryan Hitchman Charlie Mathies
Katelyn Miller Kelly Carpine David
Moore
2
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

3
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

4
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

5
Distance from the Output to the Breaking point
6
DataDistance from output to breaking point
7
More DataDistance from output to breaking point
8
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

9
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

10
Maximum Amplitude of Meandering
11
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

12
Frequency, length, and distance moved of
Half-Wavelength
13
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

14
Half-Wavelength Data
15
Data on frequency, length of a half-wavelength,
and distance moved from 1st braid
Video 1
16
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

17
Data on frequency, length of a half-wavelength,
and distance moved from 1st braid
Video 2
18
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.

19
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
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