Question

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

Answer 1

Using the Buckingham's pie theorem we can solve this question as below-