14.2. Dimensional Analysis Examples

Try these first

1. 1.

   Define dimensional analysis in your own words.

   Hint

   Think about how dimensions relate different variables.

2. 2.

   What does the Reynolds number indicate?

   Hint

   Consider its role in different flow regimes.

3. 3.

   What does Reynolds number represent?

   • Ratio of surface tension to gravity
   • Ratio of inertial forces to viscous forces
   • Ratio of pressure to area

   Hint

   Think about its application in fluid flow analysis.

4. 4.

   True or False: The Froude number is only applicable in dense fluids.

   • True
   • False

   Hint

   Consider the role of gravity in various fluid types.

5. 5.

   Calculate the Reynolds number for a fluid flowing through a pipe with a diameter of 0.1m, a velocity of 3m/s, and a kinematic viscosity of 0.001 m2/s.

   Hint

   Convert viscosity if necessary and ensure consistent units.

6. 6.

   Explain how varying the viscosity of a fluid would affect the Reynolds number and the nature of flow in a pipe.

   Hint

   Consider how fluid properties impact flow dynamics.