2010
DOI: 10.3934/dcds.2010.27.693
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Shock formation and breaking in granular avalanches

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Cited by 5 publications
(2 citation statements)
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“…Asymmetric flux functions [49,69,71,73,77] give rise to additional one-sided shocks (or semi-shocks) and adjacent expansion fans [62,71], which significantly enhance the distance over which segregation occurs. A highlight of the theory is its ability to predict the formation of breaking size segregation waves, which form whenever small particles are sheared over large ones [22,58,93,94]. These steadily traveling waves allow large particles near the base of the flow to be picked up and recirculated up into faster moving near-surface layers [33].…”
Section: Segregation In Bidisperse Mixturesmentioning
confidence: 99%
“…Asymmetric flux functions [49,69,71,73,77] give rise to additional one-sided shocks (or semi-shocks) and adjacent expansion fans [62,71], which significantly enhance the distance over which segregation occurs. A highlight of the theory is its ability to predict the formation of breaking size segregation waves, which form whenever small particles are sheared over large ones [22,58,93,94]. These steadily traveling waves allow large particles near the base of the flow to be picked up and recirculated up into faster moving near-surface layers [33].…”
Section: Segregation In Bidisperse Mixturesmentioning
confidence: 99%
“…A range of two-dimensional steady-state [19,39] and timedependent [40,41,42] exact solutions have been constructed. A highlight of the theory is its ability to predict the formation of breaking size segregation waves, which form whenever small particles are sheared over large ones [43,29,44] as shown in the sequence of images in figure 5. The avalanche is initially inversely graded with a sharp interface between the large (green) particles and small (pink) grains that decreases linearly with increasing downslope distance x.…”
Section: Segregation In Two-component Mixturesmentioning
confidence: 99%