GATE CE 2018 Set 1 — Question 60
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Water Resources Engineering → Dimensional Analysis & Similitude → Hydraulic Similitude
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Question
In a laboratory, a flow experiment is performed over a hydraulic structure. The measured values of discharge and velocity are and , respectively. If the full scale structure (30 times bigger) is subjected to a discharge of , then the time scale (model to full scale) value (up to two decimal places) is ______
Correct answer
0.15 to 0.25
Solution
For hydraulic structures with a free surface, gravity is the predominant force, and Froude similarity is applied.
The scale ratio is given as (since the full scale is 30 times bigger).
According to Froude's law, the time scale is related to the length scale as:Alternatively, using the discharge ratio .
In Froude similarity, .
Then .
Both methods yield a value within the specified range of to . Using the direct geometric scale is standard.
.
The scale ratio is given as (since the full scale is 30 times bigger).
According to Froude's law, the time scale is related to the length scale as:Alternatively, using the discharge ratio .
In Froude similarity, .
Then .
Both methods yield a value within the specified range of to . Using the direct geometric scale is standard.
.
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