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Solenoid valves - Bürkert Fluid Control Systems

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3.2.4. Interrelationship between volume<br />

flow and kv value<br />

If we divide equation 3 by equation 1<br />

and reformulate accordingly, we obtain<br />

the following for the volume flow:<br />

· <br />

V = k 0 · p<br />

v<br />

· p 0<br />

The volume flow of any fluid with the<br />

corresponding density (with any pressure<br />

drop ) can be calculated with<br />

equation 4 for a valve with a given k v<br />

value. If we reformulate equation 4<br />

accordingly, it is possible to calculate<br />

the pressure loss at any volume<br />

flow values and with any fluids.<br />

If we substitute the values for 0 and<br />

· ·<br />

p o in equation 4 and if M = V , it is<br />

possible to state the following everyday<br />

formulae for fluids:<br />

Volume flow<br />

· p<br />

V = 100 k v<br />

<br />

Mass flow<br />

·<br />

M = 100 k v<br />

p<br />

On the other hand, the required k v value<br />

can be determined at a given volu-<br />

and p 1 , which can be expressed by<br />

dence on the ratio of the pressure p 2<br />

me flow of any medium and at a given<br />

the outflow function . Thus, the following<br />

initially applies to mass flow:<br />

permitted pressure loss, thus allowing<br />

·<br />

us to establish a suitable valve type.<br />

·<br />

M = · A · 2 · 1 ·p 1<br />

Where:<br />

: Flow coefficient<br />

Everyday formulae for fluids, meaning of symbols<br />

: Outflow function (function of<br />

k v Defined volume flow of water in m 3 /h<br />

·<br />

pressure ratio p<br />

V Volume flow in m 3 2 /p 1 )<br />

/h<br />

·<br />

A: Cross-section<br />

M Mass flow in kg/h<br />

1 : Density of the gas upstream of<br />

p 1 Absolute pressure at valve inlet in MPa<br />

the valve<br />

p 2 Absolute pressure at valve outlet in MPa<br />

p 1 : Pressure of the gas upstream of<br />

p Pressure drop through valve in MPa<br />

the valve<br />

Density in kg/m 3<br />

Table 1<br />

Equation 4<br />

3.3.<br />

Flow behavior with<br />

gases<br />

3.3.1. Mass flow and volume flow<br />

with gases<br />

The relationships stated for fluids can<br />

also be applied to gases provided the<br />

differences resulting from compressibility<br />

and the special aspects of subcritical<br />

and super-critical outflow applicable<br />

to gases are allowed for.<br />

In the case of fluids, both the volume<br />

flow V and the mass flow M can be<br />

stated as a function of the pressure<br />

drop p = p 1 - p 2 through the valve,<br />

i.e. as a function of the pressure differential<br />

(equations 1 to 4). By contrast,<br />

in the case of gases, there is a depen-<br />

Equation 5

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