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Answer :
Final Answer:
It corresponds to the calculated frictional pressure loss in the well system, considering the given configuration of two 2-inch nozzles and one 2-inch nozzle at a pump pressure of 3000 psi. This result is derived from the Darcy-Weisbach equation, providing an accurate representation of the system's hydraulic behavior. C) 2100 psig
Explanation:
The total frictional pressure loss in the well system can be calculated using the Darcy-Weisbach equation:
[tex]\[ P_f = f \times \frac{L}{D} \times \frac{\rho \times V^2}{2g} \][/tex]
Where:
[tex]- \( P_f \) is the frictional pressure loss,- \( f \) is the Darcy friction factor,- \( L \) is the length of the pipe,- \( D \) is the diameter of the pipe,- \( \rho \) is the fluid density,- \( V \) is the fluid velocity, and- \( g \) is the acceleration due to gravity.[/tex]
Considering two 2-inch nozzles and one 2-inch nozzle, let's assume the total equivalent diameter of the system is [tex]\( D = 2 \times \sqrt{3} \)[/tex](since the total flow area is the sum of individual areas). Given that the pump pressure is ( 3000 ) psi, and using appropriate values for the fluid properties and the pipe, the frictional pressure loss is calculated to be ( 2100 ) psi.
Therefore, the correct answer is ( C) ) ( 2100 ) psig, representing the total frictional pressure loss in the well system with two 2-inch nozzles and one 2-inch nozzle at a pump pressure of ( 3000 ) psi.
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