Enter the fluid density, speed, and pipe diameter into the calculator below to determine the fluid's mass and volume flow rates. This calculator is only for use in which there is a steady flow of an incompressible fluid.

Bernoulli Equation Formula

The following formula is formulated through Bernoulli's principles of incompressible fluids.

p + 0.5ρv² + ρhg = c

  • Where p is the pressure
  • ρ is the density of the fluid
  • v is the flow speed of the fluid
  • h is the height
  • g is the acceleration due to gravity
  • c is a constant

From this formula, the following two equations can be derived for determining a fluid's volume and mass flow rates.

q = π * (d/2)² * v * 3600

m = q * ρ

  • Where q is the volumetric flow rate
  • d is the diameter of the pipe
  • v is the velocity of the fluid
  • and ρ is the density of the fluid

Bernoulli Equation Definition

Bernoulli's Equation states that an increase in the speed of a moving fluid is accompanied by a decrease in static pressure.

Bernoulli Equation Calculator