Dynamics of foam drainage

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

Volumn 58, Issue 2, 1998, Pages 2097-2106

  Koehler, S A ^a   Stone, H A ^a   Brenner, M P ^b   Eggers, J ^c  

^a HARVARD UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4544329211     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.2097     Document Type: Article

References (22)

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16. Note that in order to begin the simulation, the initial profile was selected to obey the no-flux boundary condition (7) at z=0 and quickly transition to α=1. We chose α(ζ,τ=0)=1+btanhζ(1-b)22b-12, where b determines the width of the transition. Typically we chose b=0.1.
17. I. Mezić pointed out to us the connection with the Burgers equation. In fact, an almost identical mathematical problem can be found in P. G. Drazin and R. S. Johnson, Solitons: An Introduction (Cambridge University Press, Cambridge, 1989), p. 34, Q2.8.
18. For computational purposes, “dry” corresponds to a small constant background value of α=10-8. This is physically reasonable since foams always have some nonzero liquid content.
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