19.3. Applying Linear Momentum Equations

Try these first

1. 1.

   What are the components of a stress tensor?

   Hint

   Think about the definition of stress in fluids.

2. 2.

   Define gauge pressure.

   Hint

   What happens to atmospheric pressure when we measure gauge pressure?

3. 3.

   How many components are in a stress tensor?

   • 6
   • 8
   • 9
   • 7

   Hint

   Think about the arrangement of stress components.

4. 4.

   True or False: Atmospheric pressure should always be included in calculations for fluid dynamics.

   • True
   • False

   Hint

   What happens to pressures acting uniformly?

5. 5.

   A cylindrical tank has a height of 10 meters and radius of 2 meters. If the fluid inside has a density of 1000 kg/m³, calculate the gauge pressure at the bottom and the force acting on the bottom surface.

   Hint

   Use the formula for pressure and the formula for area of a circle.

6. 6.

   A flow system has varying velocities across its cross-section. How do you calculate the total momentum using correction factors? Assume areas and average velocities for each section.

   Hint

   Consider the defined regions and apply the correction factors appropriately.