Difficulty: Medium
Correct Answer: 0.50 m
Explanation:
Introduction / Context:
In preliminary groundwater and small water-supply designs, engineers often approximate minor losses (entries, strainers, bends, fittings) as an additive allowance to the computed pipe-friction head loss. While detailed coefficients can be used, a practical rule-of-thumb speeds early sizing and pump selection.
Given Data / Assumptions:
Concept / Approach:
Minor losses h_m are summed as K * V^2/(2g) over fittings and inlets. In many small well systems, the aggregate of these is often taken as about 10% to 20% of h_f or a nominal fraction of a metre. A commonly used preliminary allowance is near half a metre when friction is a few metres, pending refinement in final design.
Step-by-Step Solution:
Recognize that exact K-values depend on geometry and Reynolds number.For h_f = 4 m, choose a practical allowance h_m in the range 0.3 to 0.8 m for typical small systems.Adopt 0.50 m as a balanced preliminary allowance for strainer + bends.
Verification / Alternative check:
Detailed checks would compute K for each component: entrance to screen, screen head loss, bend coefficients, and any valves. Such detailed summation often lands near a fraction of a metre to about a metre, depending on layout—supporting the 0.50 m preliminary choice.
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
0.50 m
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