Project ForgeFluid Mechanics
Bernoulli's Equation
GATE 2014
Medium
In a steady and incompressible flow of a fluid (density=1.25 kg m⁻³), the difference between stagnation and static pressures at the same location in the flow is 30 mm of mercury (density=13600 kg m⁻³). Considering gravitational acceleration as 10 m s⁻², the fluid speed (in m s⁻¹) is _____
80.5 m/s(± 1.5 accepted)
Explanation
Dynamic pressure Δp=ρ_fluid·V²/2, measured by the mercury manometer: Δp=ρ_Hg·g·h=13600×10×0.030=4080 Pa. V²=2Δp/ρ_fluid=2×4080/1.25=6528. V=√6528≈80.8 m/s.
Source: GATE CH 2014 (2014)
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