1.5. Basics of Fluid Mechanics-II

Try these first

1. 1.

   Define the continuity equation.

   Hint

   Think about how mass is conserved in fluids.

2. 2.

   What does the Reynolds transport theorem relate to in fluid mechanics?

   Hint

   Focus on the transition from systems to volumes.

3. 3.

   What equation represents the conservation of mass?

   • A) V1 + V2 = Q
   • B) V1A1 = V2A2
   • C) F = ma

   Hint

   Think about flow rates in and out of a volume.

4. 4.

   True or False: The Reynolds transport theorem can be applied to derive energy conservation equations.

   • True
   • False

   Hint

   Consider the various applications of the theorem.

5. 5.

   A tank has two openings at different heights. Water flows into the tank at 5 liters per second while it leaks out at different rates through the openings. How would you compute the flow rates to ensure the tank's mass remains constant?

   Hint

   Balance the inflow and outflow rates for the mass conservation.

6. 6.

   A horizontal jet of water hits a flat surface at a specific angle, creating a force. Calculate the force exerted on the wall from the change in momentum of the water.

   Hint

   Use Newton's laws relating momentum and force.