Leumas Physics

Bernoulli Velocity From Pressure Drop

v2 = sqrt(2·(P1 - P2)/ρ + v1^2)

What it says

The downstream flow speed obtained from Bernoulli's equation given the pressure drop and upstream speed in a horizontal streamline (requires P1 - P2 >= -0.5·ρ·v1^2 so the radicand stays non-negative).

Symbols

SymbolQuantityDimension
v2Downstream speed (m/s)L T^-1
P1Upstream pressure (Pa)M L^-1 T^-2
P2Downstream pressure (Pa)M L^-1 T^-2
ρFluid density (kg/m^3)M L^-3
v1Upstream speed (m/s)L T^-1

Work it out

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Connects to

Filed under Fluid dynamics · derive through it in the explorer