14.2.1. Finding Dimensional Groups for Volumetric Discharge

Try these first

1. 1.

   List the three basic dimensions in physics.

   Hint

   Think of the abbreviation MLT.

2. 2.

   What does viscosity measure?

   Hint

   Consider how thick a substance is.

3. 3.

   What does dimensional analysis help ensure?

   • Consistency of equations
   • Maximum speed
   • Fluid resistance

   Hint

   Consider what happens when units in an equation don't match.

4. 4.

   True or False: The Reynolds number indicates flow type.

   • True
   • False

   Hint

   Remember its importance in predicting laminar versus turbulent flow.

5. 5.

   Calculate the Reynolds number for water flowing through a pipe with a diameter of 0.1m at a velocity of 2m/s, given the viscosity of water is 0.001 Pa.s.

   Hint

   Think about how each variable plays its role in the fluid dynamics.

6. 6.

   In designing an open channel flow, if the incoming flow has a Froude number of 3.5, what does it indicate about the flow?

   Hint

   Think about what happens to flow when gravity forces are dominated.