17.1.2. Density Variation and Mass Flux

Try these first

1. 1.

   Define incompressible flow.

   Hint

   Think about the implications of high versus low Mach numbers.

2. 2.

   What is the formula for volumetric flux?

   Hint

   How do area and velocity relate in a flow?

3. 3.

   What is the effect on density in incompressible flow?

   • It remains constant
   • It varies greatly
   • It depends on temperature

   Hint

   Remember the conditions under which we define incompressibility.

4. 4.

   True or False: The Mach number is irrelevant for incompressible flow.

   • True
   • False

   Hint

   What does a Mach number below 0.3 imply?

5. 5.

   A pipe has a varying diameter. If the velocity at the inlet is 3 m/s and the area is 0.2 m^2, determine the velocity at the outlet when the area is 0.1 m^2.

   Hint

   Think about how the area changes and how that affects velocity.

6. 6.

   A tank with a constant inflow of 5 L/min is experiencing an outflow rate of 2 L/min. What is the rate of change of liquid height if the tank area is 0.5 m^2?

   Hint

   What does your mass balance tell you about the liquid level?