Titelbild Auslegung von Druckregelventilen

Calculation of Pressure Regulators

Pressure Regulators for Gas

 

Calculation of the Kv value


The selection of a valve first of all that the Kv value is determined from the operating data under which the valve is to operate.

For subcritical pressure drops, i.e. if

Formel für unterkritisches Druckgefälle

use formula

Formel zur Kv-Wert Berechnung bei unterkritischem Druckgefälle

or for supercritical pressure drops, i.e. if

Formel für überkritisches Druckgefälle

use formular

Formel zur Kv-Wert Berechnung bei überkritischem Druckgefälle

Kv Flow Coefficient m³/h
QN Volume Flow m³/h
Q1 Volume Flow Upstream of the Valve m³/h
Q2 Volume Flow Downstream of the Valve m³/h
pN Density kg/m³
Δp Differential Pressure (p1 - p2) bar
p1 Inlet Preessure (abs.) bar
p2 Outlet Pressure (abs.) bar
t1 Temperature at Inlet °C
t2 Temperature at Outlet °C
w1 Velocity inside Pipeline before the Valve m/s
w2 Velocity inside Pipeline behind the Valve m/s
d1 Nominal Diameter before the Valve mm
d2 Nominal Diameter behind the Valve mm


Example:
We are looking for a stainless steel pressure reducing valve for QN max. 1200 m³/h CO2, operating temperature 20 °C, density 2 kg/m³, inlet pressure 10-12 bar above atmospheric, controlled outlet pressure 7 bar above atmospheric.

The pressure drop is subcritical, as

formular to calculate the kv value

Hence

formular to calculate the kv value

To the Kv value calculated from the operating data we add an allowance of 30 % and thus obtain the minimum Kv value which the valve to be selected should have.

Kvs value ≥ 1.3 Kv value = 1.3 x 11.54 = 15 m³/h

 

Calculating the Nominal Diameter


To keep pressure drop and noise within acceptable limits, certain flow velocities in the pipelines should not be exceeded.

» up to 10 mbar 2 m/s
» up to 100 mbar 4 m/s
» up to 1 bar 10 m/s
» up to 10 bar 20 m/s
» above 10 bar 40 m/s


If no values have been specified we recommend the following:
These rough guidelines apply to pipe diameters from DN 80 up. For smaller diameters lower flow velocities should be used.

To calculate the flow velocity we need the flow rate figure under operating conditions. This may be calculated as follows:

Formel zur Errechnung des Volumendurchfluss

Accordingly in our example the flow rates upstream and downstream of the valve are as follows:

formular to calculate the volume flow upstream the valve                    Formel zur Errechnung des Volumendurchflusses hinter dem Ventil

The pipeline diameter can be calculated as follows:

formular to calculate the pipe diameter

If in our example maximum flow velocities of 20 m/s upstream and 15 m/s downstream of the valve have been specified, the following pipeline diameters will be required

r to calculate the pipe diameter upstream the valve                    formular to calculate the pipe diameter behind the valve

Consequently we would recommend a DN 50 pipeline upstream and a DN 65 pipeline downstream of the valve.

For a given nominal diameter the flow velocity can be calculated as follows

Formel zur Errechnung der Strömungsgeschwindigkeit


In our example we would thus obtain the following flow velocities

formular to calculate the flow velocity upstream the valve                    formular to calculate the flow velocity downstream the valve

For certain operating conditions a control valve may be selected whose nominal diameter is one or two sizes smaller than the nominal pipeline diameter. Downstream of the valve the pipeline diameter may be increased by one or two sizes depending on the flow velocity; this applies especially to valves with sense line.

 

Selecting a suitable valve


Our selection tables and data sheets contain all the technical data needed to select MANKENBERG valves. The Kvs value of the selected valve should be equal to the calculated Kv value plus the required allowance. Most valves operate most efficiently within 10 to 70 % of their Kvs values; small non-balanced valves such as our pressure reducers DM 502, 505, 506, 510, 762 and 765, will operate satisfactorily even at minimum flow rates.

You should select a setting range which places the required control pressure at the top end. If, for instance, the pressure to be controlled is 2.3 bar, you should select the 0.8-2.5 bar range rather than the 2-5 bar range, as with the latter the control errors would be considerably greater. If in special cases the standard setting range is not wide enough, a lower setting range may be selected provided the valve operates at low capacity and the control accuracy is of minor importance. Under such conditions, for instance, a pressure reducer featuring a setting range of 0.8-2.5 bar may still operate satisfactorily at 0.5 bar.

You should select the materials in accordance with the operating requirements by using the material resistance table.

If toxic or flammable fluids are to be handled a sealed spring cover – possibly with sealed setting screw - should be used and a leakage line connection (threaded connection at spring cover) provided so that any fluid leaking as a result of a defective control mechanism can be drained safely.

Let us return to our example:
Based on the operating data we had calculated a minimum Kvs value of 15 m³/h. According to our selection table several valve types meet this requirement. We select pressure reducer DM 652, DN 50, Kvs value 18 m³/h, setting range 4-8 bar. In its standard version this valve is manufactured from materials which are suitable for the application. Additional features are high control accuracy, low weight, good surface quality and a price which is remarkably low for a stainless steel valve.

Let us take another example:
We are looking for an overflow valve capable of discharging 2000 m³/h of 60°C warm air to atmosphere at 4 bar.

The pressure drop is supercritical because

fomular to calculate the pressure drop, here supercritical

Hence

Kv value calculation

To the Kv value calculated from the operating data we add an allowance of 30 % and thus obtain the minimum Kvs value which the valve should have.

Kvs value ≥ 1.3 x Kv value = 1.3 x 32.3 = 42 m³/h

The flow rate under operating conditions is

Formel zur Errechnung des Volumendurchflusses in Beispiel 5

and accordingly, given a maximum permitted flow velocity of 20 m/s, the minimum pipeline diameter is

 

formular to calculate the flow velocity in the pipeline

On the basis of the calculated data and taking into account the properties of the medium, we select the MANKENBERG overflow valve UV 4.1, DN 100, Kvs value 100 m³/h, setting range 2-5 bar; a relatively economical and accurate valve very suitable for the application.

 

» next

 

 

or directly to your medium

 

» Liquids
» Gases
» Steam

 


download the PDF file:

 

Calculationof Pressure Regulators (pdf 1.32 mb)

 

Weiterführende Informationen

 
TopPrint