The parking lot of a shopping center is square of sides a,delimited by sills of height h, and the entrance to the parking lotis width c. During the last rain it was flooded, and the onlyescape route was entrance c. To avoid future flooding, it isnecessary 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 theparking distances, on gravity, the viscosity and density of therainwater. Determine the dimensionless numbers involved in theproblem; ii) if the model takes 8 minutes to drain the water, howlong must the barrier be closed for vehicles to enter the parkinglot again?