CodeCogs

Calculates the head loss using the extended Bernoulli equation.

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Interface

#include <codecogs/engineering/fluids/imperial/headloss_bernoulli.h>

using namespace Engineering::Fluids::Imperial;

inline double headloss_Bernoulli(double density, double elevation1, double elevation2, double pressure1, double pressure2, double velocity1, double velocity2)

Considering two different points within a fluid given by their elevations $Z_{1,2}$ , pressures $P_{1,2}$ and velocity of the fluid at those points $v_{1,2}$ , the Bernoulli equation takes the form:

$Z_1 + \frac{144 P_1}{\rho} + \frac{v_1^2}{2g} = Z_2 + \frac{144 P_2}{\rho} + \frac{v_2^2}{2g} + h_L$

(1)

where $\rho$ is the weight density of the fluid and $h_L$ is the pipe friction loss or head loss from point 1 to point 2. The acceleration of gravity $g$ is assumed to be 32.2 feet per second per second.

Example 1

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

int main()
{
  double loss = Engineering::Fluids::Imperial::headloss_Bernoulli
  (0.45345, 2.5, 3.4, 10, 7, 100, 95);
  printf("Head loss = %.14lf ft\n", loss);

  return 0;
}

Output

Head loss = 43.82658376874603 ft

Parameters

density

weight density of fluid (pounds per cubic feet)

elevation1

elevation at point 1 above reference level (feet)

elevation2

elevation at point 2 above reference level (feet)

pressure1

pressure at point 1 (pounds per square)

pressure2

pressure at point 2 (pounds per square)

velocity1

mean velocity of flow at point 1 (feet per second)

velocity2

mean velocity of flow at point 2 (feet per second)

Returns

The head loss between point 1 and point 2.

References

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

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