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with increasing hydraulic retention time. These authors found that hydraulic dead space was a function<br />

<strong>of</strong> number <strong>of</strong> baffles and flow rate, and that biological deadspace was related to biomass<br />

concentration, gas production rate and flow rate, but that there was no clear correlation between total<br />

dead space and hydraulic retention time.<br />

Nachaiyasit and Stuckey (1997c) also undertook residence time distribution studies on laboratory<strong>scale</strong><br />

ABRs and confirmed the value <strong>of</strong> 18% dead space for normal operation, and further found that<br />

increasing the amount <strong>of</strong> <strong>reactor</strong> biomass by three-fold did not affect the value <strong>of</strong> dead space<br />

calculated in the residence time distribution studies. Langenh<strong>of</strong>f (2000) undertook tracer tests to<br />

determine residence time distribution in 10 ℓ 8-compartment ABRs, fed synthetic low strength soluble<br />

and colloidal wastewater. No clear trends were observed in the residence time distribution with<br />

changes in hydraulic retention time, feed type or biomass concentration. In all tests, the dead space did<br />

not exceed 37 % <strong>of</strong> the total <strong>reactor</strong> volume. In Langenh<strong>of</strong>f’s study, no quantitative difference was<br />

observed in the amount <strong>of</strong> dead space determined from the tracer tests for identical <strong>reactor</strong>s with<br />

different amounts <strong>of</strong> biomass, confirming the findings <strong>of</strong> Nachaiyasit and Stuckey (1997c). It was also<br />

concluded that the mixing characteristics <strong>of</strong> the 8-compartment ABR could be simulated by 8<br />

continuous stirred tank <strong>reactor</strong>s (CSTRs) in series.<br />

Grobicki and Stuckey (1992) found that the number <strong>of</strong> tanks-in-series (N, the number <strong>of</strong> CSTRs in<br />

series in a hydrodynamic model that would result in the same exit concentration curve as the <strong>reactor</strong><br />

tested in a tracer test) calculated from the tracer tests was similar to the number <strong>of</strong> compartments in the<br />

ABRs studied. Table 2.6 reproduces the results <strong>of</strong> these tests for 8-compartment ABRs operated at<br />

different hydraulic retention times and different biomass concentrations. It was concluded that for low<br />

values <strong>of</strong> hydraulic retention time, the calculated number <strong>of</strong> tanks-in-series closely approximated the<br />

actual number <strong>of</strong> compartments <strong>of</strong> the ABR. It was also found that the amount <strong>of</strong> back-mixing inferred<br />

from a dispersion model decreased with increasing hydraulic residence time. The authors concluded<br />

that the baffles <strong>of</strong> the ABR inhibit back-mixing, but that there is a large degree <strong>of</strong> mixing within each<br />

upflow compartment. However, it was noted that the downflow section <strong>of</strong> each compartment was<br />

more likely to behave as a plug-flow <strong>reactor</strong>. The authors indicated that a reasonable approach to<br />

modelling the hydrodynamics <strong>of</strong> the ABR would be a tanks-in-series model with N (number <strong>of</strong> tanks)<br />

equal to the number <strong>of</strong> compartments, and that the effluent solutes concentration from each<br />

compartment should be the same as the average concentration within the compartment. However, low<br />

but significant dead spaces were observed, accounting for between 1 and 22% (mean = 9.8%, standard<br />

deviation = 8.2%) <strong>of</strong> the working volume <strong>of</strong> the ABR.<br />

Table 2.6: Selected results <strong>of</strong> residence time distribution studies on 8 compartment <strong>anaerobic</strong><br />

<strong>baffled</strong> <strong>reactor</strong>s (ABR) from Grobicki and Stuckey (1992)<br />

Run no. Retention time<br />

[h]<br />

Biomass [g/ ℓ] Gas production<br />

[m ℓ /h]<br />

39<br />

Dead space<br />

[%]<br />

Number <strong>of</strong><br />

theoretical<br />

tanks - N<br />

12 20 5.58 774 18.58 10.95<br />

13 20 3.49 691 1.21 6.95<br />

14 10 2.04 739 17.38 8.28<br />

15 10 6.56 1485 7.69 7.13<br />

16 5 6.16 1938 5.4 8.22<br />

17 5 8.5 1804 9.55 8.03

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