Bernoulli

The simplified Bernoulli equation is basically expressing the application of the law of conservation of energy to the flow of fluids in a conduit. It is given by the following formula:

where $Z$ is the elevation head, $P$ is the pressure head, $v$ the velocity head and finally $E$ is the total energy of fluid constant at any particular point, above some arbitrary horizontal datum plane. Also $g$ is the acceleration of gravity, 32.2 ft/s².

It is assumed that friction losses are neglected and no energy is added to, or taken from the system.

#include <stdio.h>
#include <codecogs/engineering/fluids/imperial/bernoulli.h>

int main()
{
  double energy = Engineering::Fluids::Imperial::Bernoulli(0.34, 3, 0.5, 2);
  printf("Total energy: %.12lf ft\n", energy);

  return 0;
}

Total energy: 214.826817683595 ft

Parameters

Returns

References

The Engineering Division, Crane Co., "Flow of fluids through valves, fittings, and pipe", Chicago, 1957