1.16. Problem 5: Corresponding Model Quantities

Try these first

1. 1.

   What is the Froude number?

   Hint

   Think about forces that affect fluid flow.

2. 2.

   How do you derive the velocity ratio?

   Hint

   Consider what remains constant between model and prototype.

3. 3.

   What is the main purpose of maintaining the same Froude number in models?

   • To reduce fluid friction
   • To ensure dynamic similarity
   • To enhance fluid speed

   Hint

   Consider the forces acting on fluid in motion.

4. 4.

   True or False: Distorted models only use uniform scaling.

   • True
   • False

   Hint

   Think of practical laboratory constraints.

5. 5.

   A model of a dam has a horizontal scale of 1/300 and vertical scale of 1/75. A prototype height of 15m is scaled down; find the model height.

   Hint

   Use the vertical scale to adjust the height.

6. 6.

   Given a prototype discharge of 200m³/s, what is the model discharge with horizontal ratio of 1/300 and vertical ratio of 1/50?

   Hint

   Pay attention to calculating h_r's exponent.