Discharge time of a cylindrical leaking bucket. (23rd March 2015)

• Record Type: Journal Article
• Authors: Blasone, M; Dell'Anno, F; De Luca, R; Faella, O; Fiore, O; Saggese, A
• Is Part Of: European journal of physics. Volume 36:Number 3(2015:May)
• Publication Date: 2015-03-23
• Subjects: fluid flow -- Bernoulli's equation -- Torricelli's law; Physics -- Periodicals; Physics -- Study and teaching (Higher) -- Europe -- Periodicals; 530
• DOI: 10.1088/0143-0807/36/3/035017
• Languages: English
• ISSNs: 0143-0807

Abstract

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.