Self-similar relaxation dynamics of a fluid wedge in a Hele-Shaw cell

Omri Gat*, Baruch Meerson, Arkady Vilenkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Let the interface between two immiscible fluids in a Hele-Shaw cell have, at t=0, a wedge shape. As a wedge is scale-free, the fluid relaxation dynamics are self-similar. We find the dynamic exponent of this self-similar flow and show that the interface shape is given by the solution of an unusual inverse problem of potential theory. We solve this problem analytically for an almost flat wedge, and numerically otherwise. The wedge solution is useful for analysis of pinch-off singularities.

Original languageAmerican English
Article number065302
JournalPhysical Review E
Issue number6
StatePublished - 2006


Dive into the research topics of 'Self-similar relaxation dynamics of a fluid wedge in a Hele-Shaw cell'. Together they form a unique fingerprint.

Cite this