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Classical Mechanics

Continuity Equation

The equation expressing conservation of mass for fluid flow through a pipe or conduit.

Governing formula A1 v1 = A2 v2 = constant (Volumetric Flow Rate Q)
SI unit m³/s

In depth

For incompressible fluids, constricting pipe cross-section area (A2 < A1) forces fluid velocity to increase (v2 > v1).

Examples in the real world

Squeezing the end of a garden hose to narrow the opening and shoot water out at higher speed.