Leumas Physics

Continuity Equation (Incompressible Flow)

A1·v1 = A2·v2

What it says

For incompressible steady flow the volumetric flow rate is conserved, so a smaller cross-section forces a higher fluid speed.

Symbols

SymbolQuantityDimension
v2Downstream speed (m/s)L T^-1
A1Upstream area (m^2)L^2
v1Upstream speed (m/s)L T^-1
A2Downstream area (m^2)L^2

Work it out

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Connects to

Filed under Fluid dynamics · derive through it in the explorer