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Type 459<br />

Determination of coefficent of discharge<br />

in case of lift restriction or back pressure<br />

Diagram for evaluation of ratio of lift / flow diameter (h/d 0 )<br />

in reference to the coefficient of discharge (K dr /α w )<br />

h = Lift [mm]<br />

d 0 = Flow diameter [mm] of selected safety<br />

valve, refer to table article numbers<br />

h/d 0 = Ratio of lift / flow diameter<br />

p a0 = Back pressure [bar a ]<br />

p 0 = Set pressure [bar a ]<br />

p a0/ p 0 = Ratio of back pressure / set pressure<br />

K dr = Coefficient of discharge<br />

acc. to DIN EN ISO 4126-1<br />

α w = Coefficient of discharge<br />

acc. to AD 2000-Merkblatt A2<br />

K b = Back pressure correction factor<br />

acc. to API 520 topic 3.3<br />

d 0 Ø 9 mm d 0 Ø 13 mm d 0 Ø 17,5 mm<br />

0,85<br />

K dr = α w = f (h/d 0 ) – S/G<br />

0,85<br />

K dr = α w = f (h/d 0 ) – S/G<br />

0,80<br />

K dr = α w = f (h/d 0 ) – S/G<br />

0,80<br />

0,75<br />

0,70<br />

Coefficient of discharge K dr / αw<br />

0,75<br />

Ratio of lift / flow diameter h / d 0 Ratio of lift / flow diameter h / d 0 0,22<br />

0,23<br />

Ratio of lift / flow diameter h / d 0<br />

0,65<br />

0,60<br />

0,70<br />

0,55<br />

0,65<br />

0,50<br />

0,45<br />

0,60<br />

0,40<br />

0,55<br />

0,35<br />

0,30<br />

0,50<br />

0,25<br />

0,45<br />

0,10<br />

0,15<br />

0,20<br />

0,25<br />

0,15<br />

0,05 0,1 0,15 0,2<br />

0,25<br />

0,20<br />

0,05 0,1 0,15<br />

Coefficient of discharge K dr / αw<br />

d 0 Ø 9 mm d 0 Ø 13 mm d 0 Ø 17,5 mm<br />

Coefficient of discharge K dr / αw<br />

0,2<br />

0,22<br />

0,25<br />

K dr = α w = f (h/d 0 ) – L<br />

0,55<br />

K dr = α w = f (h/d 0 ) – L<br />

0,50<br />

K dr = α w = f (h/d 0 ) – L<br />

0,65<br />

0,50<br />

0,45<br />

Type 459<br />

Coefficient of discharge K dr / αw<br />

Ratio of lift / flow diameter h / d 0 Ratio of lift / flow diameter h / d 0 0,22<br />

0,23<br />

Ratio of lift / flow diameter h / d 0<br />

0,40<br />

0,55<br />

0,45<br />

0,35<br />

0,50<br />

0,40<br />

0,30<br />

0,45<br />

0,35<br />

0,25<br />

0,40<br />

0,30<br />

0,20<br />

0,35<br />

0,25<br />

0,15<br />

0,30<br />

0,20<br />

0,10<br />

0,05<br />

0,1<br />

0,2<br />

0,25<br />

0,05 0,1 0,15 0,2<br />

0,25<br />

0,05 0,1 0,15<br />

Coefficient of discharge K dr / αw<br />

Coefficient of discharge K dr / αw<br />

0,2<br />

0,22<br />

0,25<br />

Diagram for evaluation of ratio of the coefficient of discharge (K dr /α w )<br />

in reference to the ratio of back pressure / set pressure (p a0 /p 0 )<br />

d 0 Ø 9 mm<br />

d 0 Ø 13 mm<br />

d 0 Ø 17,5 mm<br />

Coefficient of discharge K dr / αw<br />

0,9<br />

0,8<br />

0,7<br />

0,6<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

K dr = α w = f (p a0 /p 0 ) and K b = f (p a0 /p 0 )<br />

0,0<br />

0,2 0,25 0,3 0,35<br />

Ratio of back pressure / set pressure p a0 / p 0<br />

How to use please refer to page 00/08<br />

1,00<br />

0,90<br />

0,80<br />

0,70<br />

0,60<br />

0,50<br />

0,40<br />

0,30<br />

0,20<br />

0,10<br />

0<br />

0,4 0,45<br />

Back pressure correction factor K b<br />

Coefficient of discharge K dr / αw<br />

0,9<br />

0,8<br />

0,7<br />

0,6<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

K dr = α w = f (p a0 /p 0 ) and K b = f (p a0 /p 0 )<br />

0,0<br />

0,2 0,3 0,4 0,5 0,6 0,7 0,8<br />

Ratio of back pressure / set pressure p a0 / p 0<br />

0,9<br />

0,909<br />

1,10<br />

1,00<br />

0,90<br />

0,80<br />

0,70<br />

0,60<br />

0,50<br />

0,40<br />

0,30<br />

0,20<br />

0,10<br />

0,00<br />

Back pressure correction factor K b<br />

Coefficient of discharge K dr / αw<br />

0,9<br />

0,8<br />

0,7<br />

0,6<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

K dr = α w = f (p a0 /p 0 ) and K b = f (p a0 /p 0 )<br />

0,0<br />

0,2 0,3 0,4 0,5 0,6 0,7<br />

Ratio of back pressure / set pressure p a0 / p 0<br />

0,8<br />

0,833<br />

1,10<br />

1,00<br />

0,90<br />

0,80<br />

0,70<br />

0,60<br />

0,50<br />

0,40<br />

0,30<br />

0,20<br />

0,10<br />

0,00<br />

Back pressure correction factor K b<br />

05/20 LWN 481.01-E

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