Bernoulli's Equation Formula
Solves downstream pressure from pressure, velocity, and elevation changes in steady incompressible flow.
Formula
P₂ = P₁ + 0.5ρv₁² + ρgh₁ - 0.5ρv₂² - ρgh₂
Discipline: Fluid Mechanics. Result unit: Pa.
Variables and units
- P₁ — Pressure 1 (Pa): Pressure at point 1
- ρ — Density (kg/m³): Fluid density
- v₁ — Velocity 1 (m/s): Fluid velocity at point 1
- g — Gravity (m/s²): Gravitational acceleration
- h₁ — Height 1 (m): Height at point 1
- P₂ — Pressure 2 (Pa): Pressure at point 2
- v₂ — Velocity 2 (m/s): Fluid velocity at point 2
- h₂ — Height 2 (m): Height at point 2