Answer :
Final answer:
The total frictional pressure loss in the well system can be calculated using the Bernoulli's equation and the formula for pressure loss through a nozzle. The correct answer is a) 1969 psig.
Explanation:
The total frictional pressure loss in the well system can be calculated using the Bernoulli's equation:
Ptotal = Ppump - Pn1 - Pn2 - Pn3
Where Ppump is the pump pressure, Pn1, Pn2, and Pn3 are the pressure losses through the nozzles, and Ptotal is the total frictional pressure loss.
Given that the pump pressure is 3000 psi (pounds per square inch) and the flow rate is 600 gallons per minute, the total frictional pressure loss can be calculated.
Using the formula for pressure loss through a nozzle:
Pn = (K × ρ × V2)/2
Where K is the nozzle loss coefficient, ρ is the density of the fluid, and V is the velocity of the fluid.
By substituting the values and summing up the pressure losses through each nozzle, we can calculate the total frictional pressure loss in the well system.
The correct answer is a) 1969 psig.
