8.1.1. Introduction to Control Volume

Try these first

1. 1.

   What is a control volume?

   Hint

   Think about where we take measurements in fluid mechanics.

2. 2.

   How does pressure relate to gravity in a fluid?

   Hint

   Consider the weight of a column of fluid.

3. 3.

   What defines a control volume?

   • A region where fluid slows down
   • A fixed space for analyzing fluid behavior
   • A location with varying pressures only

   Hint

   Consider its purpose in fluid dynamics.

4. 4.

   True or False: Gauge pressure is always higher than absolute pressure.

   • True
   • False

   Hint

   What happens if we are below atmospheric pressure?

5. 5.

   If a fluid has a density of 1000 kg/m³ and is 10 meters deep in a tank, calculate the pressure at the bottom of the tank assuming atmospheric pressure is 101325 Pa.

   Hint

   Use hydrostatic pressure equation, remember to include atmospheric pressure.

6. 6.

   In a control volume where the pressure is given as a function of height, derive the expression for pressure gradient based on gravitational forces acting on the fluid.

   Hint

   Consider the effects of height variations on pressure.