Question

A model of a reservoir is drained in 4 minutes by opening the sluice gate (area...

A model of a reservoir is drained in 4 minutes by opening the sluice gate (area of 0.2 m2). The model has a total volume of 4 m^3 and depth of 25 cm. The model scale is 1:225.

a.What dimensionless number should be maintained? Please justify your answer in words and by estimating/comparing ratios between forces

b. Estimate the total reservoir volume, the sluice gate area, and the average reservoir depth of the prototype

c.How long would it take to empty the prototype reservoir?

d. Estimate the discharge through the prototype sluice gate in cubic meters per second.

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