Bernoulli Equation Calculator

Your details

Choose a preset fluid or select "Custom density" to enter any value.
Standard Earth gravity is 9.80665 m/s^2 (32.174 ft/s^2). Change for other planets or non-standard locations.
m/s^2
Absolute or gauge pressure at the upstream point.
Pa
Fluid velocity at the upstream cross-section.
m/s
Height above your chosen datum (any consistent reference level).
m
Internal pipe diameter. Leave as zero to skip flow-rate calculations.
m
Absolute or gauge pressure at the downstream point.
Pa
Set to 0 to let the calculator solve for the velocity at point 2 using continuity or Bernoulli.
m/s
Height above the same datum used for point 1.
m
Internal pipe diameter at the downstream cross-section.
m
Pressure change (P1 - P2)Pressure drop (P1 > P2)
50,000

Net pressure difference between points 1 and 2

Velocity at point 2 (solved)8
Total head at point 120.639
Total head at point 220.589
Volumetric flow rate0.0157
Mass flow rate15.6765
Dynamic pressure at point 11,996
Dynamic pressure at point 231,936
Dynamic pressure (pt 1)1,996
Dynamic pressure (pt 2)31,936
Point 12,016.64
Point 231,956.59

Pressure change (P1 - P2): 50,000

  • Dynamic pressure
  • Total head

Pressure drops by 50000.00 Pa between the two points.

  • Pressure drops by 50000.00 Pa from point 1 to point 2, consistent with a speed increase (Bernoulli effect).
  • The velocity at point 2 is 8.000 m/s.
  • The total hydraulic head difference is 0.050 m, which represents energy losses in a real system (zero here because Bernoulli assumes no friction).
  • Volumetric flow rate is 0.0157 m^3/s, which is constant along the streamline by conservation of mass.

Next stepBernoulli assumes steady, inviscid, incompressible flow along a streamline. For pipes with significant friction add a head-loss term (Darcy-Weisbach) or use the extended Bernoulli equation.

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