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# 3-06 - 3-6 A cylindrical tank having a diameter of 100 ft...

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3-6. A cylindrical tank having a diameter of 100 ft and a height of 20 ft is used to store water for distribution to a suburban neighborhood. The average water consumption (stream 2 in Figure 3.2) during pre-dawn hours (midnight to 6 AM) is about 100 m 3 /hr. From 6 AM to 10 AM the average water consumption increases to 500 m 3 /hr, and then diminishes to 300 m 3 /hr from 10 AM to 5 PM. During the night hours, from 5 PM to midnight, the average consumption falls even lower to 200 m 3 /hr. The tank is replenished using a line (stream 1) that delivers water steadily into the tank at a rate of 1120 gal/min. Assuming that the level of the tank at midnight is 3 m, plot the level of the tank for a 24 hour period. Figure 3.6 . Water storage tank for distribution 3-6. The control volume to be used in this analysis is illustrated in Figure 3.6 and in terms of this control volume the principle of conservation of mass is expressed as 0 d dV dA dt ρ + ρ ⋅ = v n V A (1)

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3-06 - 3-6 A cylindrical tank having a diameter of 100 ft...

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