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.
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 |