15.2.4. Concept of Similarity or Similitude

Try these first

1. 1.

   What is geometric similarity?

   Hint

   Think about maintaining proportions.

2. 2.

   What does kinematic similarity ensure?

   Hint

   Consider what happens with moving fluids.

3. 3.

   What type of similarity ensures that angles and proportions are retained in a scaled model?

   • Dynamic Similarity
   • Kinematic Similarity
   • Geometric Similarity

   Hint

   Focus on the shape and size of the model.

4. 4.

   True or False: Kinematic similarity ensures that the same velocity ratios and streamlines exist in both model and prototype.

   • True
   • False

   Hint

   Consider the flow dynamics.

5. 5.

   A researcher is modeling a civil engineering dam project. The actual dam's height is 30m, and the width is 20m. If a model is created at a scale of 1:10, what will be the dimensions of the model? Explain the significance of maintaining geometric similarity in this context.

   Hint

   Calculate the dimensions by dividing the prototype's dimensions by 10.

6. 6.

   Explain how dynamic and kinematic similarities can be utilized to predict the water flow patterns in a scaled physical model of a river. What equations would be used to relate their respective numbers?

   Hint

   Research the equations for Reynolds and Froude numbers.