1.12. Distorted Scale Models

Try these first

1. 1.

   Define Froude Number.

   Hint

   Think about how gravity and inertia interact in fluids.

2. 2.

   What is a distorted scale model?

   Hint

   Focus on the goal of fitting models within available space.

3. 3.

   What ratio is maintained for dynamic similarity when modeling?

   • Reynolds Number
   • Froude Number
   • Both

   Hint

   Think about fluid forces in use.

4. 4.

   True or False: In distorted models, the vertical and horizontal scales must always be equal.

   • True
   • False

   Hint

   Consider the flexibility in model design.

5. 5.

   In a specific case, a model's horizontal length is designed at a 1/300 scale and a vertical dimension at 1/60. If the prototype’s discharge is 180 m³/s, find the model’s expected discharge.

   Hint

   Start by calculating the scaling factors first.

6. 6.

   A prototype depth measures 1.5m, and the scale for height in the model is 1/40. If the Reynolds number in the prototype is 15000, what would be the expected Reynolds number for the model?

   Hint

   Focus on what ratios are needed to maintain similarity.