4.1.7. Cylindrical Coordinate Systems

Try these first

1. 1.

   What are the three components of cylindrical coordinates?

   Hint

   Think about what each dimension stands for.

2. 2.

   Define mass conservation in your own words.

   Hint

   Consider how mass can enter or exit a control volume.

3. 3.

   What does cylindrical coordinates use instead of Cartesian coordinates?

   • X
   • Y
   • Z
   • R
   • θ
   • Z
   • A
   • B
   • C

   Hint

   Think of the shape of the coordinate system.

4. 4.

   Is the mass conservation equation applicable to all fluid flows?

   • True
   • False

   Hint

   Consider where mass can be created or destroyed.

5. 5.

   How would the mass conservation equations differ if applied to a flow with varying density, like gas being compressed in a cylinder versus incompressible liquid flow?

   Hint

   Consider how density affects mass flow rates.

6. 6.

   Derive the mass conservation equation for a cylindrical control volume considering both radial and axial flow.

   Hint

   Visualize how mass enters and exits the control volume in cylindrical geometry.