Shock waves in two-dimensional granular flow: Effects of rough walls and polydispersity

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 2 1, 2003, Pages 213041-2130410

  Hørlück, Sune ^a   Van Hecke, Martin ^a,b   Dimon, P ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; PIPE FLOW; WAVE PROPAGATION;

TWO-DIMENSIONAL GRANULAR FLOW;

SHOCK WAVES;

EID: 0038733809     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

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24. The shock detection algorithm RGE (Relative density contrast Gradient Edge detection) used on p̃ data is a refinement of the GE method described in Ref. [5]. It is used to measure U(x) and v(x). We use two versions: RGE4 with an x res. of 25 cm and RGE8 with an x resolution of 12.5 cm. The RGE algorithm gives more reliable measurements of average shock frequency v(x) but may still underestimate it under conditions with high v and very low p̃ contrast. The RGE method does not detect shocks with U < 15-20 cm/s as reliably. This is only a real problem in rough walled pipe flows.
25. This was not shown in Ref. [5] but with improved data analysis [11] of the old data we find a decent data collapse when plotting v(x)D vs w(x)/D.
26. The shock creation rates shown here have been hand counted, and every shock that propagates upwards at least 5 cm (no matter its strength or continued existence) is counted. The shock wave creation position statistics shown in Fig. 18 in Ref. [5] were based on a image processing method (DT - no longer used), that only counted shocks of a certain strength. Consequently this method showed a decreasing shock creation rate with increasing w(x) (for smooth walls).
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