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 .

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...
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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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