Theoretical analysis of a dripping faucet.
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.
Ambravaneswaran
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School of Chemical Engineering, Purdue University, West Lafayette, Indiana 47907-1283, USA.
Phillips
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Basaran
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