The problem of the discharge time of a cylindrical bucket with a hole in the bottom is solved by means of Bernoulli 's equation for non-steady flow. Comparison of the results with experiment and with a simplified analysis using Torricelli 's law is made. The measurements were made by high-school students in a laboratory session under guidance of instructors. It is noted that, for large ratios between the radius R of the cylinder and the radius r of the hole, the simple formula for the discharge time of a leaking bucket found by means of Torricelli's law can be used to interpret the experimental results, provided effective parameters for the model are defined.
Discharge time of a cylindrical leaking bucket
BLASONE, Massimo;DELL'ANNO, Fabio;DE LUCA, Roberto;FAELLA, ORAZIO;FIORE, ORIANA;SAGGESE, Aniello
2015-01-01
Abstract
The problem of the discharge time of a cylindrical bucket with a hole in the bottom is solved by means of Bernoulli 's equation for non-steady flow. Comparison of the results with experiment and with a simplified analysis using Torricelli 's law is made. The measurements were made by high-school students in a laboratory session under guidance of instructors. It is noted that, for large ratios between the radius R of the cylinder and the radius r of the hole, the simple formula for the discharge time of a leaking bucket found by means of Torricelli's law can be used to interpret the experimental results, provided effective parameters for the model are defined.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
