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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4681826
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