Configuration 
 
Figure 3-1  Mass Flow Example 
 
Example  - Mass Flow Compensation 
 gas flow rate of 650 SCFM develops a differential pressure of 90" H  O across an orifice plate 
 
at reference conditions of 30 psig and 140  F. Compensate this gas flow for temperature and 
 
pressure variations.
 
pply Multiplier/Divider Algorithm:
 
Flow = K
 
DP
f 
x
 
P
 
f 
T
 
f 
T
 
ref
x
 
P
 
ref
PV  = K
 
(Input B x Ratio   + Bias   )
 
B B
(Input A x Ratio   + Bias   ) x (Input C x Ratio   + Bias   )
 
C
C
X  (Calc     – Calc     )
 
HI 
LO
Where: 
     
 
     f = flowing conditions   
 
               ref = reference conditions (in absolute units)
 
Note: If temperature and pressure signals are already ranged in absolute units, 
 
no Bias is required for inputs B and C.
 
ssign inputs using Engineering units:
 
Let: 
 
 
  Input A = DP  = IN1 (in H  O) 
 
  Input B = T = IN2 + Bias2 = IN2  F + 460 ( R) 
 
  Input C = P = IN3 + Bias3 = IN3psig + 14.7(psia) 
 
  T          = 140  F + 460 = 600  R 
 
  P          = 30 psig + 14.7 = 44.7 psia 
 
  Calc     = 650.0 
 
  Calc     = 0.0       
 
2
f 
f 
ref 
ref 
Hi 
Lo 
Flow in SFCM at Reference Conditions
 
K = to be determined next
 
f 
2
22049
Example continued 
on next page
PV = Q          =
 
DP
 
f 
(IN3 + 14.7)
 
x
 
SCFM 
(IN2 + 460)
 
K
2
x
(650.0 - 0.0)
 
x
DP
 
f 
90
 
(IN3 + 14.7)
 
x
 
(IN2 + 460)
 
T
 
ref
x
P
ref
SCFM
 
Q          =
 
x
650
 
Note: When IN2 and IN3 are at the reference conditions of 600  R (140  F) and 44.7psia (30 
 
psig) respectively and DP  = 90" H  O, the equation must calculate 650 SCFM. To accomplish 
 
this, divide the DP value by "90" to normalize the equation.
 
2
f 
Rearranging terms:
 
Variable 
Constant = K 
2
DP
 
f 
(IN3 + 14.7)
 
x
 
(IN2 + 460)
 
x
1
 
90
 
T
 
ref
P
ref
x x
650
 
SCFM 
Q          =
 
 
58  UDC3200 Universal Digital Controller Product Manual  12/04