Stratification instability in granular flows

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 6, 1997, Pages 7008-7016

  Makse, Hernán A ^a,b  

^a l'alimentation et l'Environnement   (France)

^b Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001351912     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.7008     Document Type: Article

References (42)

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36. in the definition of the collision matrix.
37. We notice that this term also includes “cross capture,” since a rolling grain of type (Formula presented) can be captured on a surface of static grains of type (Formula presented) (Formula presented).
38. According to Eq. (16), another possible solution when (Formula presented) is obtained when the denominator of Eqs. (16a) and (16b) is equal to (Formula presented), and (Formula presented), (Formula presented). But this solution is not physical because, when (Formula presented), large grains can only be ampli-fied but not captured, so that (Formula presented) is the only possible physical solution.
39. Another possible solution is obtained by trying to impose the solution for region B for all (Formula presented). Then we do not consider region A as a possible solution and the constant (Formula presented) is obtained from (Formula presented). In this case (Formula presented). However, this solution is not physical since it would imply (Formula presented) if (Formula presented).
40. H. A. Makse, R. C. Ball, H. E. Stanley, and S. Warr (unpublished).
41. This value was obtained for a cell with a gap of (Formula presented) mm between the vertical slabs, and pouring the mixture at a rate of (Formula presented) cm(Formula presented)/sec.
42. We notice that for comparison with experimental results, all the values of the angles appearing in the theory should be replaced by the tangent of the angles [see Eq. (4)].