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The parking lot of a shopping center is square of sides a, delimited by sills of...

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Mechanical Engineering

The parking lot of a shopping center is square ofsides a, delimited by sills of height h, and the entrance to theparking lot is width c. During the last rain it was flooded, andthe only escape route was entrance c. To avoid future flooding, itis necessary to determine the time t in which the water takes toevacuate from the enclosure. For the effect, a 1: 100 scale modelis used and it is observed that this time depends on all thedistances from the parking lot, the gravity, the viscosity and thedensity of the rainwater. Determine the dimension numbers involvedin the problem, ii) if it takes 8 minutes for the water to drain inthe model, how long must the barrier be closed for vehicles toenter the parking lot again?

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