Physics – Condensed Matter
Scientific paper
2000-05-24
Physics Education 35, 110 (March 2000)
Physics
Condensed Matter
14 pages, text in TEX, 2 JPG and 7 PS figures
Scientific paper
10.1088/0031-9120/35/2/306
We performed an experiment on elementary hydrodynamics. The basic system is a cylindrical bottle from which water flows through a pin-hole located at the bottom of its lateral surface. We measured the speed of the water leaving the pin-hole, as a function of both the time and the current level of water still inside the bottle. The experimental results are compared with the theory. The theoretical treatment is a very simple one based on mass and energy conservation, corresponding to a widespread exercise usually adopted in university basic disciplines of Physics. We extended the previous experiment to another similar system using two equal bottles with equal pin-holes. The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest bottle dynamics. We solved this equation both numerically and analytically, comparing the results with the experimental data.
Costa E. V.
de Oliveira Paulo Murilo Castro
Delfino A.
Leite C. A. F.
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