Bernoulli Equation Calculator

Bernoulli Equation (Energy Equation) for Fluid Flow


Bernoulli (energy) equation calculation is mobile-device-friendly as of July 2, 2014

Solve for: 
Fluid Mass Density, ρ (slug/ft3):  
Select units:  Upstream Elevation, Z1 (ft):  
Downstream Elevation, Z2 (ft):  
© 2014 LMNO Engineering, Upstream Pressure, P1 (lb/ft2):  
Research, and Software, Ltd. Downstream Pressure, P2 (lb/ft2): Upstream Velocity, V1 (ft/s):  
Downstream Velocity, V2 (ft/s):  
Energy (Head) Loss, hL (ft):  

Units in Bernoulli calculator: ft=foot, kg=kilogram, lb=pound, m=meter, N=Newton, s=second.

Bernoulli (Energy) Equation for steady incompressible flow: 
Bernoulli (Energy) Equation

Mass density ρ can be found at mass density of liquids and gases.
g = acceleration due to gravity = 32.174 ft/s2 = 9.806 m/s2.

The steady state incompressible energy equation (also known as the Bernoulli equation) models a fluid moving from location 1 to location 2. The loss term hL accounts for all minor (valves, elbows, etc.) and major (pipe friction) losses between 1 and 2. For Bernoulli applications, please see our Bernoulli Calculator with Applications.

The Bernoulli equation (energy equation) calculation does not check for unreasonable inputs such as negative density, negative velocity, or pressure less than a complete vacuum.


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LMNO Engineering, Research, and Software, Ltd.
7860 Angel Ridge Rd.   Athens, Ohio 45701  USA   Phone and fax: (740) 592-1890

August 25, 2015: Made text fields narrower to show 8 significant figures rather than 16. Calculation still uses double precision internally.























LMNO Engineering home page (more calculations)  

Fluid Densities

Sophisticated related calculations:

Bernoulli Calculator with Applications

Pipe Design (Darcy-Weisbach friction losses)

Pipe Design (Hazen-Williams friction losses)

Simple related calculations:

Compute velocity from flow Q=VA

Energy loss using Darcy-Weisbach method

Energy loss using Hazen-Williams method

Unit Conversions

Other information:

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