Tss = Tdir + (HLV x (L/100))
Where:
Tss = Effluent temperature limitation for discharge to a storm sewer in degrees Fahrenheit dir
T = Effluent temperature limitation determined under sub. (2), (3), (4), (6) or (7) in degrees Fahrenheit
HLV = Heat loss value assumed to be 0.25 unless an alternative value is determined to be representative of site-specific conditions
L = Length (in feet) of the storm sewer or other storm water conveyance channel between the effluent discharge location and the point at which the storm sewer or storm water conveyance channel discharges to a surface water of the state.
Table 1 Flow Ratio Categories
Warm Water and Limited Forage Fish Designated Waters | Cold Water Designated Waters | Effluent Temperature Limitation |
Qs:Qe > 20:1 | Qs:Qe> 30:1 | 120°F |
20:1 >Qs:Qe > 2:1 | 30:1 > Qs:Qe > 2.5:1 | 120°F or the sub-lethal WQBEL as calculated in par. (b), whichever is lower |
Qs:Qe < 2:1 | Qs:Qe < 2.5:1 | Sub-lethal and acute WQBELs as calculated in par. (b) |
WQBEL = [((WQC - T a)(Q s + (1 - f)Q e)) / Q e] + T a
Where:
WQBEL = Water quality-based effluent temperature limitation (in degrees Fahrenheit)
WQC = Water quality criteria (in degrees Fahrenheit) as defined in ss. NR 102.25 and 102.27
Ta = Ambient temperature (in degrees Fahrenheit) as determined in ss. NR 102.25 and 102.26
Qs = Receiving water flow rate equal to 1/4 7-Q 10 or 1/4 4-day, 3-year biological flow as specified in s. NR 106.53(1) (a) unless an alternative receiving water flow rate has been determined in accordance with s. NR 106.53(1) (b) to (e)
f = Fraction of the effluent flow that is with - drawn from the receiving water, where " f" ranges from 0 to 1 and is unitless
Qe = Effluent flow rate in mgd as specified in s. NR 106.53(2) (b) to (d)
WQBEL = [(WQC- Ta)/(e -a)] + Ta
Where:
WQBEL = Water quality-based effluent temperature limitation (in degrees Fahrenheit)
WQC = Water quality criteria (in degrees Fahrenheit) as defined in ss. NR 102.25 to 102.27
Ta = Ambient temperature (in degrees Fahrenheit) as determined in ss. NR 102.25 to 102.27
e-a = An empirical factor; "e" is the base of the natural logarithm and the exponent " a " is calculated as follow
a = [(A)(54.7 + B(150))] / [(8,345,000)(Qe)]
Where:
A = Area of mixing zone in square feet, as follows:
Maximum Area Allowed (square feet) | Water Body |
31,416 = | inland lake or impoundment offshore discharge |
15,708 = | inland lake or impoundment shore discharge |
15,708 = | Great Lakes harbor discharge |
3,141,593 = | Great Lakes off-shore discharge |
3,125,000 = | Great Lakes shore discharge |
The maximum area of the mixingzone is subject to all applicable portions of s. N R 102.0 5 ( 3)
B = A coefficient which is a function of Ta as follows:
Ta | B |
< 59.9 | 0.405 |
60-69.9 | 0.555 |
70-79.9 | 0.667 |
> 80 | 0.990 |
Qe = Effluent flow rate in mgd as specified in s. NR 106.53(2)
Note: For example, if the interval of variability is for a particular season or time of the year, then maximum and minimum effluent flow data submitted should be for that season.
Wis. Admin. Code Department of Natural Resources NR 106.55