35 Ill. Adm. Code 214.APPENDIX
C Method used to Determine Average Actual Stack Height and Effective Height of Effluent Release
Section 214
Section 214.APPENDIX C Method
used to Determine Average Actual Stack Height and Effective Height of Effluent
Release
Q
=
Heat emission
rate (in btu/sec or Kcal/sec as determined by method outlined below.
∆H
=
Plume rise
(in feet or meters).
H
=
Physical
height (in feet or meters) above grade of each stack, except that for
purposes of this calculation the value used for such stack height shall not
exceed good engineering practice as defined by Section 123 of the Clean Air
Act and Regulations promulgated thereunder, unless the owner or operator of
the source demonstrates to the Agency that a greater height is necessary to
prevent downwash or fumigation conditions.
T
=
Exit
temperature of stack gases (in degrees Rankine or degrees Kelvin) from each
source during operating conditions which would cause maximum emissions.
V
=
Exit velocity
of stack gases (in feet/sec or meters/sec from each source under operating
conditions which would cause maximum emissions.
D
=
Diameter of
stack (in feet or meters).
P
=
Percentage of
total emissions expressed as decimal equivalents emitted from each source. (Example:
21% = 0.21.) NOTE: The sum of P
1
+ P
2 . . .
+ P
n
= 1. The emission values to be used are those which occur during operating
conditions which would cause maximum emissions.
H
A
=
Average
actual stack height (in feet or meters).
H
E
=
Effective
height of effluent release (in feet or meters).
STEP 1: Determine weighted average stack parameters utilizing the
following formulae:
D
=
P
1
D
1
+
P
2
D
2
+ . . . +
P
n
D
n
V
=
P
1
V
1
+
P
2
V
2
+ . . . +
P
n
V
n
T
=
P
1
T
1
+
P
2
T
2
+ . . . +
P
n
T
n
H
A
=
P
1
H
1
+
P
2
H
2
+ . . . +
P
n
H
n
NOTE:
P
1
, D
1
, V
1
,
T
1
, and H
1
are the percentage of total emissions, stack
diameter, exit velocity of gases, exit temperature of stack gases, and physical
stack height, respectively, for the first source; P
2
, D
2
,
V
2
, T
2,
and H
2
are the respective values for
the second source; similarly, P
n
, D
n
, V
n
, T
n,
and H
n
are the respective values for the nth source, where n is the
number of the last source.
STEP 2: Calculate heat emission rate utilizing the following formula
and the weighted average stack parameters obtained in Step 1:
Q
H
=
7.54D
2
V
(T-515)
(in English units)
T
Q
H
=
66.8D
2
V
(T-286)
(in Metric units)
T
STEP 3: Calculate plume rise utilizing the appropriate formula given
below and the total heat emission rate obtained in Step 2:
∆H
=
2.58(Q
H
)
0.6
(in English units for Q
H
≥ 6000
btu/sec)
(H
A
)
0.11
∆H
=
1.58(Q
H
)
0.6
(in Metric units for Q
H
≥ 1500 kcal/sec)
(H
A
)
0.11
∆H
=
0.718(Q
H
)
0.75
(in English units for Q
H <
6000 btu/sec)
(H
A
)
0.11
∆H
=
0.54(Q
H
)
0.75
(in Metric units for Q
H
<
1500 kcal/sec)
(H
A
)
0.11
STEP 4: Calculate the weighted average facility effective height of
effluent release utilizing the plume rise obtained in Step 3, the average stack
height obtained in Step 1, and the formula given below:
H
E
=
H
A
+ ∆H
STEP 5: Calculate the total facility hourly emission limitation
utilizing the weighted actual stack height obtained in Step 1, the effective
stack height given in Step 4, and the following formula:
E
=
(H
A
)
0.11
(H
E
)
2
(in English units)
128
E
=
0.04347(H
A
)
0.11
(H
E
)
2
(in Metric units)
s which would cause maximum emissions.
H
A
=
Average
actual stack height (in feet or meters).
H
E
=
Effective
height of effluent release (in feet or meters).
STEP 1: Determine weighted average stack parameters utilizing the
following formulae:
D
=
P
1
D
1
+
P
2
D
2
+ . . . +
P
n
D
n
V
=
P
1
V
1
+
P
2
V
2
+ . . . +
P
n
V
n
T
=
P
1
T
1
+
P
2
T
2
+ . . . +
P
n
T
n
H
A
=
P
1
H
1
+
P
2
H
2
+ . . . +
P
n
H
n
NOTE:
P
1
, D
1
, V
1
,
T
1
, and H
1
are the percentage of total emissions, stack
diameter, exit velocity of gases, exit temperature of stack gases, and physical
stack height, respectively, for the first source; P
2
, D
2
,
V
2
, T
2,
and H
2
are the respective values for
the second source; similarly, P
n
, D
n
, V
n
, T
n,
and H
n
are the respective values for the nth source, where n is the
number of the last source.
STEP 2: Calculate heat emission rate utilizing the following formula
and the weighted average stack parameters obtained in Step 1:
Q
H
=
7.54D
2
V
(T-515)
(in English units)
T
Q
H
=
66.8D
2
V
(T-286)
(in Metric units)
T
STEP 3: Calculate plume rise utilizing the appropriate formula given
below and the total heat emission rate obtained in Step 2:
∆H
=
2.58(Q
H
)
0.6
(in English units for Q
H
≥ 6000
btu/sec)
(H
A
)
0.11
∆H
=
1.58(Q
H
)
0.6
(in Metric units for Q
H
≥ 1500 kcal/sec)
(H
A
)
0.11
∆H
=
0.718(Q
H
)
0.75
(in English units for Q
H <
6000 btu/sec)
(H
A
)
0.11
∆H
=
0.54(Q
H
)
0.75
(in Metric units for Q
H
<
1500 kcal/sec)
(H
A
)
0.11
STEP 4: Calculate the weighted average facility effective height of
effluent release utilizing the plume rise obtained in Step 3, the average stack
height obtained in Step 1, and the formula given below:
H
E
=
H
A
+ ∆H
STEP 5: Calculate the total facility hourly emission limitation
utilizing the weighted actual stack height obtained in Step 1, the effective
stack height given in Step 4, and the following formula:
E
=
(H
A
)
0.11
(H
E
)
2
(in English units)
128
E
=
0.04347(H
A
)
0.11
(H
E
)
2
(in Metric units)