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Page Title: Step 5 - Check length-dependent assumptions.
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-3
C  e = 3.5 g/ L (3.5 10 mg/L)
-1
Cs = 0.25 g/L-1 (  2.5 10-4 mg/L )
Cb < 0.1 g/L-1 (1.0 10-4 mg/L )
In order to be environmentally protective, it would be wise to assume that
the background concentration is only just under the detection limit, rather than
zero. Therefore use:
Cb = 1.0 10-4 mg/L
Calculate mixing-zone length:
2
 1     Qe C  e  
L=
π  u  ( C - C )d
Et      s    b  
1
L=
-1
-1
2
 π(0.0441m / sec )(0.579 m/sec )
(  0.425m2 /sec ) (3.5 10-3 mg/L )
(  2.5 - 1.0)  10-4 mg/L(  2.54m)  

L = 190 m (623 ft)
Step 5 - Check length-dependent assumptions.
a. Step 5.1. Verify that the flow of the water body near the mixing zone
can be treated as a steady state flow.
u
L Tc
10
therefore:
10L
Tc
u
10(190 m)
Tc
0.579 m/ sec-1
T  c 3,280 sec (55 min )
This is acceptable since the river flow will certainly not change by 10 per-
cent in less than 1 hr.
E13
Appendix E Evaluation of Mixing in Surface Waters

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