Theoretical Analysis of a Dripping Faucet
作者： Bala Ambravaneswaran , Scott D. Phillips , Osman A. Basaran
DOI: 10.1103/PHYSREVLETT.85.5332
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摘要: While previous studies of continuous emission drops from a faucet have shown the richness system's nonlinear response, theory dripping has heretofore been lacking. Long-time behavior is simulated computationally by tracking formation up to several hundred in sequence, rather than usual single drop, at given flow rate Q and verified experiments. As increases, system evolves period-1 through number period doubling (halving) bifurcations as ultimately gives way jetting. That hysteresis can occur also demonstrated.
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sci-hub.se 参考文章(16)
Robert Shaw, The dripping faucet as a model chaotic system ,(1984)
W. J. Heideger, M. W. Wright, Liquid extraction during drop formation: Effect of formation time Aiche Journal. ,vol. 32, pp. 1372- 1376 ,(1986) , 10.1002/AIC.690320815
H. E. Edgerton, E. A. Hauser, W. B. Tucker, Studies in Drop Formation as Revealed by the High-speed Motion Camera The Journal of Physical Chemistry. ,vol. 41, pp. 1017- 1028 ,(1937) , 10.1021/J150385A012
D. H. Peregrine, G. Shoker, A. Symon, The bifurcation of liquid bridges Journal of Fluid Mechanics. ,vol. 212, pp. 25- 39 ,(1990) , 10.1017/S0022112090001835
Jens Eggers, Todd F. Dupont, Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation Journal of Fluid Mechanics. ,vol. 262, pp. 205- 221 ,(1992) , 10.1017/S0022112094000480
X. D. Shi, M. P. Brenner, S. R. Nagel, A cascade of structure in a drop falling from a faucet. Science. ,vol. 265, pp. 219- 222 ,(1994) , 10.1126/SCIENCE.265.5169.219
Michael P. Brenner, Jens Eggers, Kathy Joseph, Sidney R. Nagel, X. D. Shi, Breakdown of scaling in droplet fission at high Reynolds number Physics of Fluids. ,vol. 9, pp. 1573- 1590 ,(1997) , 10.1063/1.869279
Edward D. Wilkes, Scott D. Phillips, Osman A. Basaran, Computational and experimental analysis of dynamics of drop formation Physics of Fluids. ,vol. 11, pp. 3577- 3598 ,(1999) , 10.1063/1.870224
Diane M. Henderson, William G. Pritchard, Linda B. Smolka, On the pinch-off of a pendant drop of viscous fluid Physics of Fluids. ,vol. 9, pp. 3188- 3200 ,(1997) , 10.1063/1.869435
P. Martien, S.C. Pope, P.L. Scott, R.S. Shaw, The chaotic behavior of the leaky faucet Physics Letters A. ,vol. 110, pp. 399- 404 ,(1985) , 10.1016/0375-9601(85)90065-9