4.2.2. Outflow and Inflow of Mass

Try these first

1. 1.

   Define mass flux.

   Hint

   Think about how mass flows through an area.

2. 2.

   What does the continuity equation represent?

   Hint

   Consider the inflow and outflow of mass.

3. 3.

   What does the continuity equation imply?

   • Mass is conserved
   • Mass can be created
   • No mass flow occurs

   Hint

   Think about the fundamental law of physics regarding mass.

4. 4.

   True or False: Incompressible flow implies changing density.

   • True
   • False

   Hint

   Consider how density affects fluid motion.

5. 5.

   Given a pipe that narrows from a diameter of 2 m to 1 m, how does the velocity change if the incoming mass flow rate is 100 kg/s?

   Hint

   Use the principle of conservation of mass.

6. 6.

   Analyze a scenario of air being compressed in a cylinder while maintaining mass flow rate. How does density and velocity shift in relation to each other?

   Hint

   Think about how compressing air changes its properties.