2. A cylindrical tank of diameter D contains liquid to an initial height h0. At time t = 0 a small stopper of diameter d is removed from the bottom. Using Bernoulli's equation with no losses: • Calculate a differential equation for the free surface height h (t) during draining Determine an expression for the time to to drain the entire tank. • D 1 h(t) Fig.2.The depletion of a cylindrical tank

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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
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2. A cylindrical tank of diameter D contains liquid to an initial height ho. At time t = 0 a small
stopper of diameter d is removed from the bottom. Using Bernoulli's equation with no losses:
• Calculate a differential equation for the free surface height h (t) during draining
Determine an expression for the time to to drain the entire tank.
•
D
1
h(t)
Fig.2.The depletion of a cylindrical tank
Transcribed Image Text:2. A cylindrical tank of diameter D contains liquid to an initial height ho. At time t = 0 a small stopper of diameter d is removed from the bottom. Using Bernoulli's equation with no losses: • Calculate a differential equation for the free surface height h (t) during draining Determine an expression for the time to to drain the entire tank. • D 1 h(t) Fig.2.The depletion of a cylindrical tank
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