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GATE 2025 MN – Question 61

Surface Environment, Mine Ventilation and Underground Hazards · Mine Ventilation · 2 marks · Numerical answer

Air flows at1.2 m/s through a900 m road of height2.5 m and width3 m. Friction coefficient is0.022 N s²/m⁴. Find friction pressure drop in Pa to three decimals.

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Correct answer: 35.000 to 45.000

Explanation

Area is7.5 m² and wetted perimeter11 m. Atkinson’s expression is Δp=kLUQ²/A³,or kLUv²/A. Substitution gives0.022×900×11×1.2²/7.5=41.8176 Pa,or41.818 Pa. Use the whole cross-section perimeter,not only the sidewalls.

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