Question

A 1:100 scale model of spillway is to be tested in the laboratory. The discharge in the prototype is 1000 m\(^3\)/s. The discharge to be maintained in the model test is

• A. 0.01 m\(^3\)/s
• B. 0.10 m\(^3\)/s
• C. 100 m\(^3\)/s
• D. 10 m\(^3\)/s

Hint:

For hydraulic model testing, remember that the discharge scales as the cube of the linear scale factor.

Answer 1

The Correct Option is A

In model testing, the scale of the model affects the discharge. Using the scale factor for the discharge in the model, we can calculate the discharge required for the model using the ratio of the scale factor for discharge, which is proportional to \( Q_{\text{model}} = Q_{\text{prototype}} / \text{Scale}^3 \). Given the scale of 1:100, the required discharge in the model is 0.01 m\(^3\)/s.