Urban runoff estimation: The empirical rational formula Q = 0.0278 K P A (with units consistent to yield discharge in m^3/s) was proposed by which drainage engineer?
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AKinchling
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BLloyd Davis
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CFrubling
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DAll of the above
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EMulvany
Answer
Correct Answer: Lloyd Davis
Explanation
Introduction / Context:The rational method relates peak runoff to rainfall intensity, catchment area, and a runoff coefficient. Different empirical forms and unit conversions appear in literature; exam questions often probe authorship and form awareness to avoid confusion across textbooks.
Given Data / Assumptions:
- Formula stated: Q = 0.0278 K P A.
- Q in m^3/s when P is in mm/h and A in hectares (via 0.0278 factor), K is runoff coefficient.
- Identify proponent of this particular presentation.
Concept / Approach:Historically, Lloyd-Davies popularized a rational-type relation for urban drainage in the U.K., and the 0.0278 factor is a common SI unit converter (from mm·ha/h to m^3/s). Recognizing this pairing helps attribute authorship correctly.
Step-by-Step Solution:Note empirical form with 0.0278.Recall that Lloyd-Davies is typically associated with this variant.Select Lloyd Davis as the correct answer.
Verification / Alternative check:Numerous civil engineering references present the Lloyd-Davies form with 0.0278 for SI, confirming authorship.
Why Other Options Are Wrong:Kinchling and Frubling are distractors not tied to this exact empirical presentation.All of the above: incorrect since a single author is credited.Mulvany: credited with the original rational method, but not with this specific 0.0278 K P A expression.
Common Pitfalls:
- Mixing Mulvany’s original method with later unit-specific forms.
- Forgetting the role of unit conversion constant 0.0278 in SI formulations.
Final Answer:Lloyd Davis