Project ForgeFluid Mechanics
Bernoulli's Equation & Flow
GATE 2020
Medium
Water (density 1000 kg/m³) flows through an inclined pipe of uniform diameter. The velocity, pressure and elevation at section A are VA=3.2 m/s, pA=186 kPa, zA=24.5 m, and those at section B are VB=3.2 m/s, pB=260 kPa, zB=9.1 m. If acceleration due to gravity is 10 m/s², the head lost due to friction (from A to B) is __________ m (round off to one decimal place).
8 m(± 0.1 accepted)
Explanation
Since VA=VB, the velocity-head terms cancel in the energy equation. h_L = (pA−pB)/(ρg) + (zA−zB) = (186000−260000)/(1000×10) + (24.5−9.1) = −7.4 + 15.4 = 8.0 m.
Source: GATE ME 2020 Session 2 (ME-2) (2020)
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