An Accurate von Neumann's Law for Three-Dimensional Foams
Journal Article
·
· Physical Review Letters
The diffusive coarsening of 2D soap froths is governed by von Neumann's law. A statistical version of this law for dry 3D foams has long been conjectured. A new derivation, based on a theorem by Minkowski, yields an explicit analytical von Neumann's law in 3D which is in very good agreement with detailed simulations and experiments. The average growth rate of a bubble with F faces is shown to be proportional to F{sup 1/2} for large F , in contrast to the conjectured linear dependence. Accounting for foam disorder in the model further improves the agreement with data.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40205723
- Journal Information:
- Physical Review Letters, Vol. 86, Issue 12; Other Information: DOI: 10.1103/PhysRevLett.86.2685; Othernumber: PRLTAO000086000012002685000001; 029112PRL; PBD: 19 Mar 2001; ISSN 0031-9007
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
Similar Records
Foam Microrheology
Equilibrium states and ground state of two-dimensional fluid foams
Stability analysis of WONDY (a hydrocode based on the artifical viscosity method of von Neumann and Richtmyer) for a special case of Maxwell's Law
Conference
·
Wed Sep 01 00:00:00 EDT 1999
·
OSTI ID:40205723
Equilibrium states and ground state of two-dimensional fluid foams
Journal Article
·
Mon Jan 01 00:00:00 EST 2001
· Physical Review E
·
OSTI ID:40205723
+1 more
Stability analysis of WONDY (a hydrocode based on the artifical viscosity method of von Neumann and Richtmyer) for a special case of Maxwell's Law
Journal Article
·
Sun Oct 01 00:00:00 EDT 1978
· Math. Comput.; (United States)
·
OSTI ID:40205723