Mining Engineering > GATE 2026 > Mine Ventilation - Booster Fans
In an underground coal mine, the air quantities QA and QB passes through ventilation districts A and B, respectively as shown, with a pressure drop of ΔP across them. The air quantity in district B is to be increased to Q′B by installing a booster fan, as shown, without affecting the air quantity in ventilation district A. The capacity of booster fan (PB) can be expressed as
A
PB = ΔP(QB/Q′B)2 - ΔP
B
PB = ΔP(Q′B/QB)2 - ΔP
C
PB = ΔP - ΔP(Q′B/QB)2
D
PB = ΔP + ΔP(Q′B/QB)2

Correct : b

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