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Granular Materials: Liquid-like Properties of Sand - page 10 / 14

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dv 120 lar

Force (uv)

4 3.5 3 2.5 2 1.5 1 0.5 0

0

0.5

1 velocity (in/sec)

1.5

2

Li

Fig 7

This graph shows the force versus velocity using a ball size of 1.5 in. The data is not obviously a linear line. Instead, with some trial and error with different functions, we saw that a logarithmic function was the best bet.

14

12

10

lg, flow 120 lg, flow 90 lg flow 150 lg, flow 135

8

y = 8.4579 + 3.009log(x) R= 0.92156 y = 26.706 + 9.0708log(x) R= 0.81706

6

y = 4.7147 + 1.6118log(x) R= 0.99467 y = 5.6113 + 1.7319log(x) R= 0.98719

4

2

0

  • 0

    0. 0 05

  • 0

    . 01

0. 0 15

  • 0

    . 02

0. 0 25

  • 0

    . 03

0. 0 35

  • 0

    . 04

v (m/s)

Fig 8

This graph shows at all the different flow rates, a logarithmic function first the data. This is good news, though we are still unsure what this logarithmic function means. Also, at lower gas flow rates, the force is larger than at higher flow rates.

10

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