EngiRef / Formulas

Bernoulli Equation

Conservation of energy along a streamline

Fluid Dynamics

Source Details

Id

fluids-bernoulli

Name

Bernoulli Equation

Discipline

fluids

Category

Fluid Dynamics

Latex

P_1 + \frac{1}{2}\rho v_1^2 + \rho g h_1 = P_2 + \frac{1}{2}\rho v_2^2 + \rho g h_2

Description

Conservation of energy along a streamline

Conditions

Steady, incompressible, inviscid flow along streamline

Variables
[
  {
    "symbol": "P",
    "name": "Pressure",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "ρ",
    "name": "Density",
    "unit": "kg/m³",
    "siUnit": "kg/m³"
  },
  {
    "symbol": "v",
    "name": "Velocity",
    "unit": "m/s",
    "siUnit": "m/s",
    "imperialUnit": "ft/s"
  },
  {
    "symbol": "g",
    "name": "Gravity",
    "unit": "m/s²",
    "siUnit": "m/s²"
  },
  {
    "symbol": "h",
    "name": "Height",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "ft"
  }
]
Solve For

P, v, h

Tags

bernoulli, energy, pressure, velocity, height

Is Custom

false