Continuity Equation (A₁v₁ = A₂v₂)
Also known as continuity equation · A₁v₁ = A₂v₂
Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!
Learning zone
Water doesn't pile up inside a pipe, so whatever volume enters one end each second must leave the other — and when the pipe narrows, the fluid has no choice but to speed up in inverse proportion to the area. Squeeze a garden hose to half its area and the jet doubles its speed. The same law shapes rivers (slow and wide, then fast through a gorge) and explains the roar of blood through a narrowed artery that a stethoscope picks up as a bruit.
Continuity Equation (A₁v₁ = A₂v₂)
Where
- = Area at point 1
- = Velocity at point 1
- = Area at point 2
- = Velocity at point 2
Missing one of these? Work it out first, then come back
- Area at point 1 — Pressure (P = F/A), Volumetric Flow Rate (Q = Av)
- Velocity at point 1 — Volumetric Flow Rate (Q = Av), Dynamic Pressure (q = ½ρv²)
- Area at point 2 — Pressure (P = F/A), Volumetric Flow Rate (Q = Av)
- Velocity at point 2 — Volumetric Flow Rate (Q = Av), Dynamic Pressure (q = ½ρv²)