Behavior of the Dripping Faucet over a Wide Range of the Flow Rate

Abstract

The time interval of successive water-drips from a faucet was examined over a wide range of the flow rate. The dripping interval alternately exhibits a stable state and a chaotic state as the flow rate increases. In the stable state, the volume of the drip is kept constant at fixed flow rates, and the constant volume increases with the flow rate. In the chaotic state, in addition to a mechanics that the drip is torn by its own weight, the vibration of the drip on the faucet takes part in the strange behavior of the interval.

Periodic dripping dynamics in a co-flowing liquid-liquid system

“…A particularly illustrative way to display the data of time interval spectra is by time return maps. 13,16,17,22,23,25,56 Each point in such graph is defined through the ordered pair (T n , T n+1 ) where n is the drop number.…”

“…Extensions of the model account for the dispersed phase density ρ disp , surface tension σ , and geometrical properties. 37,39 Parameters proven to influence the oscillations are the fluid temperature, the disperse phase volume flow rate Q disp , the disperse phase viscosity η disp , and the capillary radius R. 16 The latter two parameters are summarized in the Bond-number (Bo =…”

“…In a follow up paper by Subramani et al, 44 a droplet volume versus Weber-number (flow rate of the droplet phase) phase diagram as well as a Weber-number-Ohnesorge-number phase diagram for steady, train-like, and chaotic dripping into air is proposed. Within this framework, complex dripping types observed experimentally 16,23 can be summarized. The Ohnesorge-number Oh = η √ ρ Rσ relates viscous forces to surface forces.…”

Leaky Tap Behavior Described by a Simple Discrete Mapping

“…The experiments are performed mainly in two ways: investigations about drop formation to study the effects of physical parameters on the features of the breaking mechanism [18][19][20] and an analysis of the long-term dripping behavior in order to derive patterns and structures [20][21][22][23][24][25][26][27][28]. In experimental studies, the time intervals t n between successive drop detachments from an orifice are measured and recorded, and analysis of drop formation are performed by means of high-speed motion video systems.…”

“…This assumption is experimentally based, as the volume of the drop increases with the flow rate[25].…”