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Pa!!er 11 <br />Retention time is a function of flow rate, biofilter volume, and <br />voids fraction of the medium: <br />M = F (6) <br />where V =the empty bed biofilter volume (measured in liters) and <br />S =the voids fraction of the biofilter medium. Only that portion of <br />the biofilter bed that holds medium should be included in V. Note <br />that biofilter volume can be expressed as the product of the biofilter <br />cross-sectional area (X) and depth (D). <br />Because retention time is a function of biofilter dimensions and <br />flow rate, Equation 5 can be rewritten to accommodate changes in <br />biofilter depth, cross sectional area, and flow rate: <br />Z = C - C (1 - R)(xUSIF)NxrDrsr/Fr) (7) <br />where X =new biofilter cross-sectional area, Xr =original cross- <br />sectionalarea (i.e.,cross-sectional area at which R was determined), <br />D =new biofilter depth, Dr =original biofilter depth, S =new <br />voids fraction, Sr =the original voids fraction, F =new flow rate <br />through the biofilter (l/minute), and Fr =original flow rate through <br />the biofilter. Note that the exponent will be equal to unity if none of <br />these parameters is changed. Depth and cross-sectional area can be <br />measured in any units as long as these units are used consistently. <br />Combining equations 1 and 7 and solving for B (fish biomass) <br />yields: <br />F (C-C (1- R} «xns/Fu~xrDrsr/Fr)) } <br />~ _ (g) <br />A <br />If the nitrification rate at the temperature at which R was deter- <br />mined is Nr and the nitrification rate at a new temperature is N, the <br />difference in nitrification rate is proportional to N/Nr. Ammonia <br />removal (R) can be adjusted for a change in nitrification resulting <br />from a change in temperature by multiplying R times N/Nr. The <br />proportion N/Nr can be derived from the equation of Liao et al. <br />(1972) for temperatures of 1.7 to l2°C: <br />