17.1.5. Application of Mass Conservation Equation

Try these first

1. 1.

   Explain what is meant by incompressible flow.

   Hint

   Consider the relationship between flow speed and density.

2. 2.

   What does the Reynolds transport theorem connect?

   Hint

   Think about how mass enters and exits a space.

3. 3.

   What is the consequence of assuming a fluid is incompressible?

   • Density varies greatly with pressure
   • Density remains constant
   • Mass can be created or destroyed

   Hint

   Think about the condition when the Mach number is low.

4. 4.

   The Reynolds transport theorem addresses changes in mass through what?

   • True
   • False

   Hint

   Consider how mass is conserved in fluid systems.

5. 5.

   A cylindrical tank with a radius of 0.5m fills with water at a rate of 0.1 m^3/s. Calculate how long it takes to fill to a height of 2m.

   Hint

   Use the volume formula for a cylinder.

6. 6.

   If the average velocity of fluid in a pipe is 2m/s and pipe diameter is 0.1m, calculate the mass flow rate if the fluid density is 1000 kg/m^3.

   Hint

   Remember to calculate area for the circular pipe.