4.4. Velocity and Flow Rate Relationships

Try these first

1. 1.

   What is flow rate?

   Hint

   Remember the unit is usually cubic feet per second.

2. 2.

   What is the continuity equation?

   Hint

   It connects area and velocity with flow rate.

3. 3.

   What does the continuity equation express?

   • A flow rate law
   • Conservation of mass in flow
   • Relationship of pressure only

   Hint

   Consider mass as fluid moving through a pipe.

4. 4.

   True or False: Bernoulli's equation indicates energy loss in a system.

   • True
   • False

   Hint

   Remember we talk about efficiencies in real applications.

5. 5.

   Given a rectangular channel with a width of 4 feet, a height of 2 feet, and a flow rate of 8 cubic feet per second, calculate the velocity and discuss if it experiences subcritical or supercritical flow.

   Hint

   Evaluate depth with respect to flow profile to assess conditions.

6. 6.

   A ramp in a channel accelerates flow from 1 ft/s to 3 ft/s across a height of 0.5 feet. Calculate the energy loss and the significance of such a design.

   Hint

   Consider both potential energy loss due to elevation and kinetic energy gain.