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total head

Returns the total energy within a fluid using the simplified Bernoulli equation.

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Interface
Bernoulli
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Interface

C++

Excel

Bernoulli

doubleBernoulli(	double	`density`
	double	`elevation`
	double	`pressure`
	double	`velocity`	)[inline]

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:

$Z + \frac{144 P}{\rho} + \frac{v^2}{2g} = E = \mbox{ constant}$

(2)

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

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

Example 1

#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;
}

Output

Total energy: 214.826817683595 ft

References

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

Parameters

density	weight density of fluid (lb/ft)
elevation	potential head or elevation above reference level (ft)
pressure	pressure (lb/in)
velocity	mean velocity of flow (ft/s)

Returns

Total energy of fluid (ft).

Authors

Lucian Bentea (July 2006)

Source Code

This module is private, for owner's use only.

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