TY - JOUR
T1 - Granular labyrinth structures in confined geometries
AU - Knudsen, Henning Arendt
AU - Sandnes, Bjørnar
AU - Flekkøy, Eirik Grude
AU - Måløy, Knut Jørgen
N1 - Henning Arendt Knudsen, Bjornar Sandnes, Eirik Grude Flekkoy, and Knut Jorgen Maloy, Physical review E, 77, 021301, 2008. Copyright 2008 by the American Physical Society. The original article can be found at http://link.aps.org/doi/10.1103/PhysRevE.77.021301
PY - 2008/2/5
Y1 - 2008/2/5
N2 - Pattern forming processes are abundant in nature. Here, we report on a particular pattern forming process. Upon withdrawal of fluid from a particle-fluid dispersion in a Hele-Shaw cell, the particles are shown to be left behind in intriguing mazelike patterns. The particles, initially being uniformly spread out in a disc, are slowly pulled inwards and together by capillary and pressure forces. Invading air forms branching fingers, whereas the particles are compiled into comparably narrow branches. These branches are connected in a treelike structure, taking the form of a maze. The characteristic length scale within the structure is found to decrease with the volume fraction of the particles and increase with the plate separation in the Hele-Shaw cell. We present a simulator designed to simulate this phenomenon, which reproduces qualitatively and quantitatively the experiments, as well as a theory that can predict the observed wavelengths.
AB - Pattern forming processes are abundant in nature. Here, we report on a particular pattern forming process. Upon withdrawal of fluid from a particle-fluid dispersion in a Hele-Shaw cell, the particles are shown to be left behind in intriguing mazelike patterns. The particles, initially being uniformly spread out in a disc, are slowly pulled inwards and together by capillary and pressure forces. Invading air forms branching fingers, whereas the particles are compiled into comparably narrow branches. These branches are connected in a treelike structure, taking the form of a maze. The characteristic length scale within the structure is found to decrease with the volume fraction of the particles and increase with the plate separation in the Hele-Shaw cell. We present a simulator designed to simulate this phenomenon, which reproduces qualitatively and quantitatively the experiments, as well as a theory that can predict the observed wavelengths.
UR - http://www.scopus.com/inward/record.url?scp=38949183066&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.77.021301
DO - 10.1103/PhysRevE.77.021301
M3 - Article
C2 - 18352016
AN - SCOPUS:38949183066
VL - 77
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 2
M1 - 021301
ER -