17.3. Seepage Problem in a Flume

Try these first

1. 1.

   What is the condition for flow to be considered incompressible?

   Hint

   Think about the relation between flow speed and the speed of sound.

2. 2.

   Write the formula for volumetric flow rate.

   Hint

   Recall what the terms represent in the context of fluid flow.

3. 3.

   What is the relationship between Mach number and flow compressibility?

   • Higher than 0.3 means compressible
   • Lower than 0.3 means compressible
   • Exactly 0.3 means incompressible

   Hint

   Remember how the flow speed compares to sound.

4. 4.

   True or False: The density of an incompressible fluid remains constant under all conditions.

   • True
   • False

   Hint

   Think about the implications of the Mach number.

5. 5.

   If a flume has two inlets with velocities of 0.2 m/s and 0.3 m/s, and a cross-section of 2 m², calculate the inflow. Then, if the outlet velocity is 0.4 m/s with a section of 1m², find the net loss.

   Hint

   Use Q = A * V to find both the inflow and outflow.

6. 6.

   Given a seepage problem where velocity varies from 0.5 to 0.45 m/s through sections of identical area, calculate the change in seepage rate using the flow conservation principle.

   Hint

   Identify your inflow and outflow effectively.