13.1.4. Fluid Properties

Try these first

1. 1.

   What are the three basic dimensions in fluid mechanics?

   Hint

   Think about units that we often measure in physics.

2. 2.

   What is the formula for velocity in dimensional terms?

   Hint

   Consider how distance relates to time.

3. 3.

   What does dimensional homogeneity ensure in fluid mechanics equations?

   • All units are consistent
   • Variables are unrelated
   • Calculations are random

   Hint

   Think about what happens if units don't align.

4. 4.

   True or False: Reynolds number is dependent on dimensional units.

   • True
   • False

   Hint

   What does it mean to be 'dimensionless'?

5. 5.

   You want to design an experiment on the drag force acting on a sphere in water and air. Define the parameters, outline the steps for dimensional analysis, and determine what dimensionless groups would be necessary.

   Hint

   Think about how these variables relate to one another in fluid flow.

6. 6.

   Given a scenario where a pipe diameter increases, resulting in turbulent flow, suggest a method for determining the new Reynolds number and anticipating changes in fluid behavior.

   Hint

   What do you already know about how flow transitions from laminar to turbulent based on Reynolds number?