Bernoulli-Gleichung

Outlet pressure using Bernoulli's equation

Pressure can convert to velocity or elevation; friction and pump heads must be added separately.

MINTSI
01

Inputs

Unknown static pressure at point 2.

Static pressure at point 1.

Density of incompressible fluid.

Mean velocity at point 1.

Mean velocity at point 2.

Elevation of point 1 above datum.

Elevation of point 2 above datum.

02

Result

Select a target and calculate.

Calculation

p₁ + ½ρv₁² + ρgz₁ = p₂ + ½ρv₂² + ρgz₂

Pressure can convert to velocity or elevation; friction and pump heads must be added separately.

Understand the inputs
  • Pressure at point 2 p₂Unknown static pressure at point 2.
  • Pressure at point 1 p₁Static pressure at point 1.
  • Density ρDensity of incompressible fluid.
  • Velocity v₁Mean velocity at point 1.
  • Velocity v₂Mean velocity at point 2.
  • Elevation z₁Elevation of point 1 above datum.
  • Elevation z₂Elevation of point 2 above datum.
Example

A higher outlet or faster outlet lowers ideal static pressure.

Assumptions and limits

Steady, incompressible, frictionless; no pump between points.

Sources