The water resource expresses the conservation of energy within an incompressible fluid moving. This theory applies in the event of continuity of the fluid vein.

This named energy load is the addition of three components:

potential energy (altitude)
the pressure
kinetic energy (speed)

Pressure + altitude + speed = Load of the fluid

The assessment is established between two points defined such as:

Charge as in point 1 = Charge as in point 2

Half-formula

${Z} + {\ frac {P} {\ rho G}} + {\ beta \ frac {(V_m) ^2} {2 G}}$ = Load of the fluid

Potential energy

$Z \,$ It is expressed in bills of quantities.

Pressure

$\ frac {P} {\ rho G} \,$

Where:

$P$ : pressure in pascals

$\ rho$ : density of the fluid in kg.m^-3

$g$ : acceleration of gravity m.s^-2

Kinetic energy

$\ beta \ frac {2 G}$

Where:

$V_m \,$ : mean velocity of the fluid. Indeed, because of frictions, speed in the center of a control, for example, is higher than on its edges.

β: weighting of Coriolis. It is function of the mode of flow (see Reynolds number).

2 in laminar mode

1,22 in critical or turbulent mode.

Complete formula

Case with a flow of 1 towards 2 with presence of a third body on the studied segment.

${Z_1} + {\ frac {P_1} {\ rho G}} + {\ beta \ frac {2 G}} + H
= {Z_2} + {\ frac {P_2} {\ rho G}} + {\ beta \ frac {2 G}} + J$

$H \,$ is the load brought to the fluid by a third body (pump…).

$J \,$ , total pressure losses on the studied segment.

See too

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