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Reinventing the wheel: The chaotic sandwheel
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10.1119/1.4768893
/content/aapt/journal/ajp/81/2/10.1119/1.4768893
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/2/10.1119/1.4768893
View: Figures

Figures

Image of Fig. 1.
Fig. 1.

A schematic diagram of the experimental sandwheel.

Image of Fig. 2.
Fig. 2.

Bifurcation diagram (top) and Lyapunov spectrum (bottom) as a function of Qw for the waterwheel. The specific trajectories for different Qw values [labelled (a)–(f)] are shown in Fig. 3 .

Image of Fig. 3.
Fig. 3.

Waterwheel sample trajectories of the center-of-mass (left, in meters) and grayscale of relative mass in active cups (right, darker corresponds to larger mass, time in seconds) for six different values of Qw (all in kg/s): 0.0265 (a), 0.0445 (b), 0.0460 (c), 0.0596 (d), 0.3798 (e), and 1.3 (f).

Image of Fig. 4.
Fig. 4.

Bifurcation diagram (top) and Lyapunov spectrum (bottom) for the sandwheel as a function of Qs . The specific trajectories for different Qs values [labelled (a)–(f)] are shown in Fig. 5 .

Image of Fig. 5.
Fig. 5.

Sandwheel sample trajectories of modified center-of-mass (left, in kg-m) and grayscale of relative mass in active cups (right, darker corresponds to larger mass, time in seconds) for specific Qs values (all in kg/s): 0.17 (a), 0.24 (b), 0.3 (c), 0.4 (d), 0.6 (e), and 0.8 (f).

Image of Fig. 6.
Fig. 6.

(Color online) Center-of-mass (top) and modified center-of-mass (bottom) trajectories for the sandwheel attractor according to Eqs. (4) and (7) . The numerical values in the key correspond to the number of cups that contain sand. Both panels use kg/s and times from 2000 to 2400 s.

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/content/aapt/journal/ajp/81/2/10.1119/1.4768893
2013-01-22
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Reinventing the wheel: The chaotic sandwheel
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/2/10.1119/1.4768893
10.1119/1.4768893
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