GATE CE 2025 Set 1 — Question 59
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Geotechnical Engineering → Permeability → Darcy's Law
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Question
Two soils of permeabilities and are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, cm, and cm/s; for Soil 2, cm, and cm/s. The cross sectional area of the horizontal pipe is 100 cm, and the head difference () is 150 cm. The discharge (in cm/s) through the soils is ___________ (rounded off to 2 decimal places).
Correct answer
8.44 to 8.56
Solution
1.Identify the flow configuration:
The flow occurs through two soil layers in series. The equivalent permeability () for flow perpendicular to the layers (in series) is given by:2.Calculate :
3.Calculate the discharge ():
Using Darcy's Law: Rounding to two decimal places, the discharge is 8.49 cm/s.
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