This work was supported in part by the National Science Foundation under Grant No. ECS-9014481.
Journal of Applied Physics
Waterfalls -- Mathematical properties, Lasers, Oscillations -- Mathematical models
The fluttering oscillations that have long been seen in falling sheets of water have recently been subjected to detailed theoretical analysis. In this study stability criteria for these oscillations are derived and discussed. These criteria provide insight into the physical mechanisms of the instability and may be employed in the design of fluttering waterfall systems.
Casperson, L. W. (1994). Fluttering fountains: Stability criteria. Journal Of Applied Physics, 75(10), 4892.