8.1.3. Pressure Field as a Function of Coordinates

Try these first

1. 1.

   Define control volume in fluid mechanics.

   Hint

   Think about where you would analyze forces acting on fluids.

2. 2.

   What is hydrostatic pressure?

   Hint

   Consider how pressure changes with depth in a fluid.

3. 3.

   What stress acts perpendicular to the surface of a fluid?

   • Shear Stress
   • Body Force
   • Normal Stress

   Hint

   Think about how these stresses are defined.

4. 4.

   True or False: Gauge pressure is less than absolute pressure.

   • True
   • False

   Hint

   Consider the measurement reference points.

5. 5.

   A fluid-filled tank has a height of 5 meters. Calculate the hydrostatic pressure at the bottom if the density of the fluid is 1000 kg/m³.

   Hint

   Use the hydrostatic pressure equation P = ρgz.

6. 6.

   A barometer measures an atmospheric pressure of 101 kPa. If the liquid column is mercury, calculate the height of mercury in the barometer (density = 13,600 kg/m³).

   Hint

   Utilize the atmospheric pressure and density of mercury to find height.