Liquid Flow. A cylindrical tank of diameter D is filled with water to a height h. Water is allowed to flow out of the tank through a hole of diameter d in the bottom of the tank. The differential equation describing the height of water in the tank as a function of time is dh - /2gh D? dt where g is the acceleration due to gravity. Produce a plot of height of water in the tank as a function of time for D = 10 ft, d = 6 in and ho = 30 ft. Compare your results with the analytical solution h= k = (d² ID²)/2g .

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4. Liquid Flow. A cylindrical tank of diameter D is filled with water to a
height h. Water is allowed to flow out of the tank through a hole of diameter
d in the bottom of the tank. The differential equation describing the height of
water in the tank as a function of time is
d?
/2gh
D?
dh
dt
where g is the acceleration due to gravity. Produce a plot of height of water
in the tank as a function of time for D = 10 ft, d = 6 in and ho = 30 ft.
Compare your results with the analytical solution h=(/ho - kt/2} , where
k= (d² / D')/2g.
Transcribed Image Text:4. Liquid Flow. A cylindrical tank of diameter D is filled with water to a height h. Water is allowed to flow out of the tank through a hole of diameter d in the bottom of the tank. The differential equation describing the height of water in the tank as a function of time is d? /2gh D? dh dt where g is the acceleration due to gravity. Produce a plot of height of water in the tank as a function of time for D = 10 ft, d = 6 in and ho = 30 ft. Compare your results with the analytical solution h=(/ho - kt/2} , where k= (d² / D')/2g.
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