1.14. Model Problem Example

Try these first

1. 1.

   Define Froude number.

   Hint

   Think about its relationship to gravity.

2. 2.

   What is the formula for velocity ratio?

   Hint

   Recall the relationship between velocity and length ratios.

3. 3.

   What is the main purpose of the Froude model law?

   • To equate Froude numbers
   • To measure discharge
   • To compare dimensions

   Hint

   Think about how gravity plays a role in fluid dynamics.

4. 4.

   True or False: Discharge ratios are solely based on velocity.

   • True
   • False

   Hint

   Consider how area influences discharge.

5. 5.

   You have a prototype with a discharge of 200 m³/s, scale lengths of 1/100 for width and 1/50 for height. Calculate the model's discharge.

   Hint

   Break the scaling down and apply the ratios step by step.

6. 6.

   Given a prototype force of 300 N and a model scale of L_r = 1/300, what is the resistance in the model?

   Hint

   Remember to cube the length ratio for force calculations.