TY - JOUR
T1 - Scaling and self-similarity in an unforced flow of inviscid fluid trapped inside a viscous fluid in a hele-shaw cell
AU - Vilenkin, Arkady
AU - Meerson, Baruch
AU - Sasorov, Pavel V.
PY - 2006
Y1 - 2006
N2 - We investigate quasi-two-dimensional relaxation, by surface tension, of a long straight stripe of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. Combining analytical and numerical solutions, we describe the emergence of a self-similar dumbbell shape and find nontrivial dynamic exponents that characterize scaling behavior of the dumbbell dimensions.
AB - We investigate quasi-two-dimensional relaxation, by surface tension, of a long straight stripe of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. Combining analytical and numerical solutions, we describe the emergence of a self-similar dumbbell shape and find nontrivial dynamic exponents that characterize scaling behavior of the dumbbell dimensions.
UR - http://www.scopus.com/inward/record.url?scp=33144468418&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.96.044504
DO - 10.1103/PhysRevLett.96.044504
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AN - SCOPUS:33144468418
SN - 0031-9007
VL - 96
JO - Physical Review Letters
JF - Physical Review Letters
IS - 4
M1 - 044504
ER -