1.2. Department of Civil Engineering

Try these first

1. 1.

   What is the key principle of the continuity equation?

   Hint

   Think about steady-state conditions.

2. 2.

   Define Reynolds transport theorem.

   Hint

   Remember the mass and flow considerations.

3. 3.

   What does the continuity equation relate to in fluid mechanics?

   • Mass conservation
   • Energy conservation
   • Momentum conservation

   Hint

   Consider what remains constant in a closed system.

4. 4.

   True or False: The Reynolds transport theorem can be used to derive various conservation principles.

   • True
   • False

   Hint

   Think about how broad this theorem's implications are.

5. 5.

   A pipe narrows from a diameter of 30 cm to 15 cm. If water flows at a speed of 2 m/s in the wider pipe, calculate the speed in the narrow pipe.

   Hint

   Remember to convert diameters to radius first.

6. 6.

   A water jet exits a nozzle with a diameter of 5 cm at 10 m/s. Calculate the force exerted on a plate if the jet impacts at a 30-degree angle.

   Hint

   Break the velocity vector into components.