15.3. Kinematic Similarity

Try these first

1. 1.

   Define kinematic similarity.

   Hint

   Think about the relationship between model and prototype movements.

2. 2.

   What is the Reynolds number?

   Hint

   Consider how this number helps categorize types of fluid flow.

3. 3.

   What defines kinematic similarity in fluid mechanics?

   Hint

   Think about the relationship between velocities in models and prototypes.

4. 4.

   True or False: Kinematic similarity only considers the Reynolds number.

   • True
   • False

   Hint

   Reflect on other dimensionless numbers used in fluid dynamics.

5. 5.

   Design a model of a bridge that maintains kinematic similarity to a prototype with a Reynolds number of 1500. What parameters must you ensure match?

   Hint

   Reflect on how the fluid's viscosity and density influence your calculations.

6. 6.

   In a case study, a flood simulation model has a Froude number of 0.8. Calculate the required height of waves in the prototype if the model's wave height is 0.5 meters.

   Hint

   Think about how the gravitational forces are affecting wave behavior.