Bernoulli equation calculator
Along a streamline, pressure plus dynamic pressure plus head stays constant. Speeding a fluid up drops its pressure.
kg/m3
Pressure at point 2
170 000Pa
- Pressure change
- 30 000
- Dynamic pressure at point 1
- 2000
- Dynamic pressure at point 2
- 32 000
- Total head at point 1
- 20.598 268
Show the working
- Pressure at point 1 = 200 000
- Velocity at point 1 = 2
- Height at point 1 = 0
- Velocity at point 2 = 8
- Height at point 2 = 0
- Fluid density = 1000
- Dynamic pressure at point 1 = 0.5 * 1000 * 2^2 = 2000
- Dynamic pressure at point 2 = 0.5 * 1000 * 8^2 = 32 000
- Pressure at point 2 = 200 000 + 2000 + 1000*g0*0 - 32 000 - 1000*g0*0 = 170 000
- Pressure change = 200 000 - 170 000 = 30 000
- Total head at point 1 = 200 000/(1000*g0) + 2^2/(2*g0) + 0 = 20.5983
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- p1 + (1/2) rho v1^2 + rho g h1 = p2 + (1/2) rho v2^2 + rho g h2
Bernoulli assumes steady, incompressible, frictionless flow along a streamline. Real pipes lose head to friction as well.