Scaling and self-similarity in an unforced flow of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell.
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.
Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Arkady
A
Vilenkin
Baruch
B
Meerson
Pavel V
PV
Sasorov