18.2.1. Previous Discussion on Conservation of Mass

Try these first

1. 1.

   What does the conservation of mass principle state?

   Hint

   Think about mass in terms of balance.

2. 2.

   Define steady flow.

   Hint

   Consider what happens at a fixed point in the system.

3. 3.

   What is the Reynolds Transport Theorem used for?

   • To derive momentum equations
   • To analyze thermal energy
   • To relate changes in quantities to flow across a control surface

   Hint

   Focus on how it connects flow to conservation principles.

4. 4.

   True or False: In unsteady flow, fluid properties at a point remain constant over time.

   • True
   • False

   Hint

   Consider the definition of unsteady.

5. 5.

   A pipe has an inflow of 20 L/s and an outflow of 15 L/s. How would you calculate the change in water storage in the pipe over a time interval of 10 seconds?

   Hint

   Remember to consider both inflows and outflows.

6. 6.

   In a system where water is pumped into a tank at 5 L/min and has an overflow outlet at 3 L/min, how long will it take to fill the tank from empty to a volume of 100 L?

   Hint

   Keep track of the net flow in relation to the total volume.