Fluid Dynamics (Bernoulli) Calculator

Apply Bernoulli's equation to calculate pressure or velocity changes in an ideal fluid between two points at different heights.

Pressure at Point 1 (P₁)

Velocity at Point 1 (v₁)

m/s

Height at Point 1 (h₁)

Height at Point 2 (h₂)

Fluid Density

kg/m³

Tab to move between fields

P₂ (same velocity)

150,375 Pa

v₂ (same pressure)

10.1 m/s

v₂ (P₂ = 0 gauge)17.46 m/s

Total Energy per Volume152,375 Pa

Dynamic Pressure (½ρv²)2,000 Pa

Hydrostatic Pressure (ρgh)49,050 Pa

How to Use This Calculator

Enter Pressure at Point 1 (P₁), Velocity at Point 1 (v₁), and Height at Point 1 (h₁).
Set Height at Point 2 (h₂) and Fluid Density.
Review P₂ (same velocity) (Pa) and v₂ (same pressure) (m/s).
Use v₂ (P₂ = 0 gauge) (m/s) and Total Energy per Volume (Pa) to inform your decision.
Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Pressure at Point 1 (P₁)

Pressure at Point 1 (P₁): Static pressure at point 1 in pascals. Atmospheric pressure ≈ 101,325 Pa.
Velocity at Point 1 (v₁): Flow velocity at point 1 in meters per second.
Height at Point 1 (h₁): Elevation of point 1 above the reference level.
Height at Point 2 (h₂): Elevation of point 2 above the reference level.
Fluid Density: Density of the fluid. Water ≈ 1000 kg/m³, air ≈ 1.225 kg/m³, mercury ≈ 13,546 kg/m³.

Identify Input Parameters
4 parameters
Pressure at Point 1 (P₁) = 101325, Velocity at Point 1 (v₁) = 2, Height at Point 1 (h₁) = 5, Height at Point 2 (h₂) = 0 = 5 input(s) provided
Calculate P₂
P₂
150375 = 150375
Calculate v₂
v₂
10.104 = 10.104
Calculate v₂
v₂
17.457 = 17.457
Calculate Total Energy per Volume
Total Energy per Volume
152375 = 152375