GATE CE 2018 Set 1 — Question 32
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Water Resources Engineering → Dimensional Analysis & Similitude → Froude Model Law
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Question
A 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is . The corresponding discharge (in , up to two decimal places) to be maintained in the model, neglecting variation in acceleration due to gravity, is ______
Correct answer
0.05 to 0.06
Solution
According to Froude's model law (since gravity is the predominant force in spillway flow):
Discharge scale ratio,
Given scale ratio,
Discharge in prototype,
Discharge in model,
Rounding to two decimal places, .
Discharge scale ratio,
Given scale ratio,
Discharge in prototype,
Discharge in model,
Rounding to two decimal places, .
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