17.2. Example Problem: Change in Water Height in a Tank

Try these first

1. 1.

   Define incompressible flow and its Mach number condition.

   Hint

   Think about how Mach number relates to fluid velocity.

2. 2.

   What is volumetric flux?

   Hint

   Remember how it connects area and velocity!

3. 3.

   What Mach number indicates incompressible flow?

   • Less than 0.3
   • Greater than 0.3
   • Equal to 1

   Hint

   Recall the definition of incompressibility.

4. 4.

   True or False: In an incompressible flow, density variations are significant.

   • True
   • False

   Hint

   Consider what the assumptions allow for.

5. 5.

   A fluid flows through a pipe of radius R at a constant velocity V. Calculate the volumetric flow rate in terms of R and V.

   Hint

   Recall the formula for the area of a circle.

6. 6.

   If the Mach number increases to 0.4 in the same system, how does the analysis change?

   Hint

   Consider what happens to properties of the fluid at higher speeds.