Problem 2: Control volume and Bernoulli Water drains from a tank through two r = 0.01 m diameter orifices: one located directly at the bottom of the tank, and the other at H/2. The tank has a diameter of R = 1m and the height of the water level is initially H = 1.5m. (1) Find the equations relating h and t for t t*. (2) Find the time, t*, it takes for the water level to drain to h(t*) = H/2. (3) Plot the relationship between the non-dimensional values (r/R)2√2g/H t (on the x-axis) and (on the y-axis) for t < t* and t> t*. R VH/2 h(t) → | H Figure 2: Draining tank with two orifices.

Elements Of Electromagnetics
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Problem 2: Control volume and Bernoulli
Water drains from a tank through two r = 0.01 m diameter orifices: one located directly at the
bottom of the tank, and the other at H/2. The tank has a diameter of R = 1m and the height of
the water level is initially H = 1.5m.
(1) Find the equations relating h and t for t<t* and t> t*.
(2) Find the time, t*, it takes for the water level to drain to h(t*) = H/2.
(3) Plot the relationship between the non-dimensional values (r/R)2√2g/H t (on the x-axis) and
(on the y-axis) for t < t* and t> t*.
R
VH/2
h(t)
→ |
H
Figure 2: Draining tank with two orifices.
Transcribed Image Text:Problem 2: Control volume and Bernoulli Water drains from a tank through two r = 0.01 m diameter orifices: one located directly at the bottom of the tank, and the other at H/2. The tank has a diameter of R = 1m and the height of the water level is initially H = 1.5m. (1) Find the equations relating h and t for t<t* and t> t*. (2) Find the time, t*, it takes for the water level to drain to h(t*) = H/2. (3) Plot the relationship between the non-dimensional values (r/R)2√2g/H t (on the x-axis) and (on the y-axis) for t < t* and t> t*. R VH/2 h(t) → | H Figure 2: Draining tank with two orifices.
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