1.15. Problem 2: Model Boat Resistance

Try these first

1. 1.

   Define the term 'Froude Number'.

   Hint

   Think about what forces are being compared.

2. 2.

   What is the scaling ratio if a model is 1/200 times the prototype?

   Hint

   Focus on how we express the size of models compared to full size.

3. 3.

   What does the Froude Number compare?

   • Density and Mass
   • Inertial forces and Gravitational forces
   • Speed and Distance

   Hint

   Think about the effects of gravity on fluid flow.

4. 4.

   True or False: The model resistance can be greater than the prototype resistance.

   • True
   • False

   Hint

   Reflect on how scaling affects forces.

5. 5.

   Consider a scale model bridge over a river. If the bridge model scales down to 1/200 while keeping the same fluid characteristics, derive the force resisting the bridge based on fluid interaction.

   Hint

   What scaling principles would you apply, and how do they relate to the bridge's real characteristics?

6. 6.

   If a water model at a 1/1000 scale shows resistance of 0.05 N under specific conditions of flow, what would be the expected force under prototype conditions?

   Hint

   How does the dimension scale affect force predictions?