13.2.1. Designing Experiments

Try these first

1. 1.

   What are the three fundamental dimensions?

   Hint

   Think of MLT.

2. 2.

   What is dimensional homogeneity?

   Hint

   Think about equations in physics.

3. 3.

   What is dimensional analysis primarily used for?

   • To calculate specific forces
   • To simplify complex relationships
   • To determine fluid density

   Hint

   Consider the purpose of simplifying equations.

4. 4.

   True or False: All equations in fluid mechanics must be dimensionally homogeneous.

   • True
   • False

   Hint

   Think about the balance of equations in physics.

5. 5.

   Design an experiment to analyze the relationship between drag force and velocity for a cylinder in a wind tunnel. What dimensionless numbers will you consider?

   Hint

   Link your variables to dimensionless numbers.

6. 6.

   Explain how dimensional analysis enables the use of similar models in different fluid scales, providing a clear example.

   Hint

   Consider how tests are conducted on different scales.