This Bernoulli's Equation Calculator can help you determine any unknown variable from Bernoulli’s principle formula by giving 6 out of the 7 figures (height, pressure, fluid speed and density). You can discover more on this topic below the tool.

Instruction: Please input ONLY 6 from the 7 fields that are blank below!

Pressure 1 (p1):*
Fluid speed 1 (v1):*
Height 1 (h1):*
Pressure 2 (p2):*
Fluid speed 2 (v2):*
Height 2 (h2):*
Fluid density (ρ):*

## How does this Bernoulli's Equation Calculator work?

This tool can be used to calculate any variable from the Bernoulli’s formulas as explained below:

Bernoulli's Equation: P1 + 0.5 * ρ * v12 + h1*ρ*g = P2 + 0.5 * ρ * v22 + h2*ρ*g

- If the value of P1  or the one of the P2 should be computed then the equations used are:

P1 = (P2 + 0.5 * ρ * v22 + h2*ρ*g) – (0.5 * ρ * v12 + h1*ρ*g)

P2 = (0.5 * ρ * v22 + h2*ρ*g) – (P1 + 0.5 * ρ * v12 + h1*ρ*g)

- In case h1 or h2 should be estimated then the formulas applied are:

h1= [(P2 + 0.5 * ρ * v22 + h2*ρ*g) – (P1 + 0.5 * ρ * v12)]/( ρ*g)

h2= [(P1 + 0.5 * ρ * v12 + h1*ρ*g) – (P2 + 0.5 * ρ * v22)]/( ρ*g)

- If either v1 or v2  is the unknown variable then to calculate it the following expression is used:

v1 = √[(P2 + 0.5 * ρ * v22 + h2*ρ*g - h1*ρ*g - P1)/( 0.5 * ρ)]

v2 = √[(P1 + 0.5 * ρ * v12 + h1*ρ*g – h2*ρ*g – P2)/( 0.5 * ρ)]

- In case ρ should be obtained then the formula is:

ρ = (P1- P2)/(0.5 * v22+ h2*g – 0.5 * v12+ h1*g)

Where:
g is the acceleration due to gravity and by default is considered to be 9.80665 m/s2;
ρ is the fluid density measured in Kg/m3;
P1 represents the fluid pressure measured in Pa at point 1;
P2 refers to the fluid pressure measured in Pa at point 2;
v1 is the fluid speed expressed in meter/second at point 1;
v2 stands for the fluid speed in meter/second at point 2;
h1 is the height in meters at point 1;
h2 is the height in meter at point 2.
As it can easily be observed this Bernoulli`s Equation calculator allows choosing between multiple units depending on the variable type as detailed here, while the conversion rates are:
- For fluid pressure the measurement units available are:

 From: To: Pa Pa 1 Kpa 1000 bar 100000 Atm 101325.01 mmHg 133.32238 mbar 100

- For fluid speed the supported measurement units are:

 From: To: m/s m/s 1 m/min 0.016667 km/hr 0.277778 yd/s 0.9144 ft/s 0.3048 mile/hr 0.4470405

- For fluid density the measurement units that can be used:

 From: To: Kg/m3 Kg/m3 1 oz/in3 1730 g/cc(ml) 1000 lbs/liter 453.5923 lbs/yd3 0.5932763 lbs/ft3 16.018461

- For height these are the units available:

 From: To: m m 1 dm 0.1 cm 0.01 mm 0.001 yd 0.9914 ft 0.3048 in 0.0254

09 Jun, 2015