EngiRef / Formulas

Continuity Equation

Conservation of mass in fluid flow

Fluid Dynamics

Source Details

Id

fluids-continuity

Name

Continuity Equation

Discipline

fluids

Category

Fluid Dynamics

Latex

A_1 v_1 = A_2 v_2

Description

Conservation of mass in fluid flow

Conditions

Incompressible, steady flow

Variables
[
  {
    "symbol": "A₁",
    "name": "Area 1",
    "unit": "m²",
    "siUnit": "m²",
    "imperialUnit": "ft²"
  },
  {
    "symbol": "v₁",
    "name": "Velocity 1",
    "unit": "m/s",
    "siUnit": "m/s",
    "imperialUnit": "ft/s"
  },
  {
    "symbol": "A₂",
    "name": "Area 2",
    "unit": "m²",
    "siUnit": "m²",
    "imperialUnit": "ft²"
  },
  {
    "symbol": "v₂",
    "name": "Velocity 2",
    "unit": "m/s",
    "siUnit": "m/s",
    "imperialUnit": "ft/s"
  }
]
Solve For

A₁, v₁, A₂, v₂

Tags

continuity, mass, conservation, flow

Is Custom

false