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Problem 1: A tank with a bottom cross-sectional area B x Y is to be emptied by means of a pipe as shown in the figure below. It is obvious that as the tank drains, the heighth decreases. Also, at the same time the velocity of flow in the pipe (hence Re) also decreases leading to a change in the friction factor. A design engineer wants you to use an average friction factor fav. (i) (ii) Derive a formula for the time to empty the tank from an initial level ho. Carry out a dimensional analysis for the problem and establish the II parameters. Bottom= W by Y Water h Pipe: WL, D, E LD

Problem 1: A tank with a bottom cross-sectional area B x Y is to be emptied by means of a pipe as shown in the figure below. It is obvious that as the tank drains, the heighth decreases. Also, at the same time the velocity of flow in the pipe (hence Re) also decreases leading to a change in the friction factor. A design engineer wants you to use an average friction factor fav. (i) (ii) Derive a formula for the time to empty the tank from an initial level ho. Carry out a dimensional analysis for the problem and establish the II parameters. Bottom= W by Y Water h Pipe: WL, D, E LD

Fundamentals of Geotechnical Engineering (MindTap Course List)
Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter7: Seepage
Section: Chapter Questions
Problem 7.1P
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Problem 1: A tank with a bottom cross-sectional area B x Y is to be emptied by means of a pipe as shown in the figure below. It is obvious that as the tank drains, the heighth decreases. Also, at the same time the velocity of flow in the pipe (hence Re) also decreases leading to a change in the friction factor. A design engineer wants you to use an average friction factor fav. (i) (ii) Derive a formula for the time to empty the tank from an initial level ho. Carry out a dimensional analysis for the problem and establish the II parameters. Bottom= W by Y Water h Pipe: WL, D, E LD
Transcribed Image Text:Problem 1: A tank with a bottom cross-sectional area B x Y is to be emptied by means of a pipe as shown in the figure below. It is obvious that as the tank drains, the heighth decreases. Also, at the same time the velocity of flow in the pipe (hence Re) also decreases leading to a change in the friction factor. A design engineer wants you to use an average friction factor fav. (i) (ii) Derive a formula for the time to empty the tank from an initial level ho. Carry out a dimensional analysis for the problem and establish the II parameters. Bottom= W by Y Water h Pipe: WL, D, E LD
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