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TABLE OF CONTENTS Pages Symposium 1 - the National Sea ...

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so <strong>the</strong> k-values and <strong>the</strong> enrichment percentage shown in Table 1 could not be calculated<br />

under <strong>the</strong>se conditions.<br />

Table 1. The relative amount of flushing produced by enrichment (i.e., k/[k+Q/V]*100) at<br />

<strong>the</strong> bottom-center drain was calculated for each trial that a k-value (listed before<br />

enrichment-value) could be estimated.<br />

k-value ± standard error (min) / enrichment ± standard error (%)<br />

Dia:depth = 3.1:1 Dia:depth = 6:1 Dia:depth = 12:1<br />

2 ex/hr (fish present)<br />

5% bottom flow 0.39±0.02 / 93±0 0.13±0.05 / 71±14 NA<br />

10% bottom flow 0.48±0.01 / 94±0 0.34±0.05 / 91±2 0.02±0.02 / 58±14<br />

20% bottom flow 0.87±0.24 / 96±1 0.58±0.06 / 95±1 0.07±0.03 / 0<br />

1 ex/hr (fish present)<br />

5% bottom flow 0.06±0.04 / 84±2 NA NA<br />

10% bottom flow 0.06±0.03 / 62±24 0.08±0.04 / 65±17 NA<br />

20% bottom flow 0.10±0.04 / 80±7 0.20±0.02 / 91±1 NA<br />

2 ex/hr (no fish)<br />

5% bottom flow 0.08±0.04 / 61±17 NA NA<br />

10% bottom flow 0.53±0.14 / 93±2 NA NA<br />

20% bottom flow 1.37±0.02 / 98±0 0.00±0.01 / 12±12 NA<br />

1 ex/hr (no fish)<br />

5% bottom flow -0.01±0.00 / 83±0 NA NA<br />

10% bottom flow 0.01±0.04 / 29±9 NA NA<br />

20% bottom flow 0.08±0.00 / 0 NA NA<br />

Note, an enrichment-value of zero indicates that <strong>the</strong> term (k/[k+Q/V]*100) was negative, e.g., <strong>the</strong> beads<br />

took longer to flush than <strong>the</strong> hydraulic exchange rate through <strong>the</strong> tank. NA indicates that ei<strong>the</strong>r bead<br />

flushing was so poor that k-values could not be calculated, or that bottom-drain pipe velocity was too low<br />

to flush beads and <strong>the</strong> tests were not run.<br />

Additionally, not all of <strong>the</strong> data was included in <strong>the</strong> linear regression of <strong>the</strong> bead-pulse data<br />

as plotted according to <strong>the</strong> –LN(fraction of solids remaining) versus time, as in <strong>the</strong><br />

example shown in Figure 2. This data was excluded because it did not fit <strong>the</strong> 1 st order<br />

kinetics assumption for solids enrichment at <strong>the</strong> bottom-center drain. We think that when<br />

large portions of <strong>the</strong> pellets did not exhibit enrichment at <strong>the</strong> center drain according to 1 st<br />

order kinetics, it was due to insufficient velocity in <strong>the</strong> rotational flow, i.e. <strong>the</strong> actual water<br />

velocity starting from <strong>the</strong> outside wall. Under <strong>the</strong>se low velocity conditions, <strong>the</strong> pellets<br />

did not flush rapidly because <strong>the</strong>y settled on <strong>the</strong> tank floor just before reaching <strong>the</strong> tank’s<br />

center drain. Velocities at <strong>the</strong> outside walls appear to require velocities of at least 15 cm/s<br />

(0.5 ft/s) to promote solids departure from <strong>the</strong> center drain.<br />

The pellet-pulse data when plotted according to <strong>the</strong> –LN(fraction of solids remaining)<br />

versus time (Figure 2) also provides a graphical estimate of <strong>the</strong> time required for <strong>the</strong> beads<br />

to travel from <strong>the</strong> tank’s surface to <strong>the</strong> bottom center drain, i.e., <strong>the</strong> dead time (t0) for<br />

solids flushing from <strong>the</strong> tank. The x-intercept of this data provides <strong>the</strong> estimate of <strong>the</strong><br />

6

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