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 E.6.2 Sample computations
The following computations are presented to illustrate the dilution volume
method for a continuous effluent discharge.
The following input values are used in the sample computations:
Volume of effluent discharge per unit time Vp
= 44 cu ft/sec
Turbulent dissipation parameter ?
= 0.005
Water column depth d
= 10 ft
Water velocity Vw
= 0.5 ft/sec
Initial width of plume 2r
= 30 ft
Background concentration CBG
= 0.1 mg/L
Effluent discharge concentration Ce
= 30 mg/L
Applicable WQS, CwQ
= 0.5 mg/L
The required volume per unit time will be:
30 - 0.5
= 3,245 cu ft/ sec
V A = V p D = 44
(E-16)
0.5 - 0.1
The required width of the mixing zone will be:
3,245
VA
(E-17)
= 649 ft
=
L=
d V w (10) (0.5)
The time required to achieve the lateral spread L will be:
1
(0.094)(649 )2/3 - (0.149)(15 )2/3 = 1, 228 sec
t=
(E-18)
0.005
The length of the mixing zone will be:
X = (0.5 ft/ sec )(1, 228 sec ) = 614 ft
(E-19)
Thus the proposed mixing zone would have dimensions of:
30 + 649
Surface area =
614 = 208, 453 sq ft
(E-20)
2
Maximum dimensions = 614 ft by 649 ft
E18
Appendix E Evaluation of Mixing in Surface Waters
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