3.1. Assumption and Continuity Equation

Try these first

1. 1.

   Define the continuity equation.

   Hint

   Think about the conservation principle.

2. 2.

   What does the Darcy-Weisbach equation calculate?

   Hint

   Remember, H_L is an important term.

3. 3.

   What is the continuity equation principle?

   • Total outflow may exceed total inflow.
   • Total inflow equals total outflow.
   • Inflow is irrelevant to outflow.

   Hint

   Think about flow balance at network nodes.

4. 4.

   True or False: The Darcy-Weisbach equation considers only major losses in pipes.

   • True
   • False

   Hint

   Recall the assumptions made in hydraulic calculations.

5. 5.

   Consider a pipe network where three nodes are interconnected. Node A has a 50 L/s inflow, while Node B has 20 L/s outflow, and Node C has a 30 L/s outflow. Calculate the flow rates into and out of Node A using continuity principles.

   Hint

   Remember the inflow and outflows must balance out.

6. 6.

   Given a network where the head loss calculated for one of the pipes is 5 meters with a discharge of 60 L/s, how would you adjust for head losses in other pipes using the Hardy Cross Method?

   Hint

   Always recheck your head loss values before adjusting.