19.1.5. Total Force Acting on Control Volume

Try these first

1. 1.

   Define a control volume in your own words.

   Hint

   Think about the space you consider for analyzing forces.

2. 2.

   What are the two types of stresses represented in a stress tensor?

   Hint

   Recall the terms N for Normal and S for Shear.

3. 3.

   What defines a control volume?

   • A fixed region in fluid mechanics
   • Only atmospheric pressure
   • Surface limits of a flow

   Hint

   Consider where analysis is focused in fluid problems.

4. 4.

   True or False: Body forces act only at the surface of a control volume.

   • True
   • False

   Hint

   Recall the definitions of body forces.

5. 5.

   Given a cylindrical tank with varying fluid heights, calculate the total force acting on the bottom surface considering both pressure and gravitational effects.

   Hint

   Remember to consider the variation in height across the base of the tank.

6. 6.

   Design a control volume for a water discharge pipe with bends and varying elevations. How would you account for the forces at play?

   Hint

   Visualize the flow and draw the forces acting on each sector.