Calculating Head Supplied by a Pump and Total Head Loss in a System
What is the head supplied by the pump and the total head loss between the pump and the point of free discharge?
Head Supplied by the Pump
Total Head Loss
Now, let's calculate the total head loss between the pump and the point of free discharge. The total head loss is the sum of the friction head loss and the minor head losses due to fittings and other factors.
Since all pipes are commercial steel with a diameter of 15 cm, we can calculate the friction head loss using the Darcy-Weisbach equation:
Friction head loss = (f * L * V^2) / (2 * g * D)
Where:
f is the Darcy friction factor
L is the length of the pipe
V is the velocity of the water
g is the acceleration due to gravity
D is the diameter of the pipe
Unfortunately, the question does not provide the length of the pipe or the velocity of the water, so we cannot calculate the friction head loss.
However, we can still calculate the minor head losses due to fittings and other factors if the question provides the necessary information.