title: Theoretical analysis of a dripping faucet.
abstract: While previous studies of continuous emission of drops from a faucet have shown the richness of the system's nonlinear response, a theory of dripping has heretofore been lacking. Long-time behavior of dripping is simulated computationally by tracking the formation of up to several hundred drops in a sequence, rather than the usual single drop, at a given flow rate Q and verified by experiments. As Q increases, the system evolves from a period-1 system through a number of period doubling (halving) bifurcations as dripping ultimately gives way to jetting. That hysteresis can occur is also demonstrated.
authors.affiliation: School of Chemical Engineering, Purdue University, West Lafayette, Indiana 47907-1283, USA.
authors.forename: B
authors.initials: B
authors.lastname: Ambravaneswaran
authors.forename: S D
authors.initials: SD
authors.lastname: Phillips
authors.forename: O A
authors.initials: OA
authors.lastname: Basaran