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<br />This value for K * is substituted into Eq. (15a) to obtain an averaged <br />s <br />submergence correction factor given by the following: <br /> <br />K k _ <br />s <br /> <br />* k-l <br />K + K <br />s s <br /> <br />(15a) <br /> <br />2 <br /> <br />where the k superscript is the iteration counter and the first iteration value <br />for Kso is 1. <br /> <br />Note: <br /> <br />In some situations, the correction factor <br />less than 0.8, in which case it should be <br /> <br />* <br />K , may be computed to be <br />s <br />reset to 0.8 to prevent <br /> <br />over-compensating for submergence in the first iteration. <br /> <br />This correction factor is applied to the breach outflow to compute the <br />corrected breach outflow as follows: <br /> <br />k <br />Qb <br /> <br />= <br /> <br />Kk <br />s <br /> <br />k-l <br />Qb <br /> <br />(16) <br /> <br />where: <br /> <br />k-l <br />Qb = Q in the first iteration <br />bmax <br /> <br />k <br />The corrected breach outflow (Qb ) is then compared with Qv' and a new <br /> <br /> <br />outflow depth (hmaxk) is calculated using Eq. (8) or (11). Also, because <br /> <br /> <br />there is decreased flow through the breach, there is less drawdown. Thus, <br /> <br /> <br />the head over the weir (~eir) must be recalculated using the relation: <br /> <br />k k-l <br />hweir = ~eir + <br /> <br />k-l <br />Qb <br /> <br />_ Q k <br />b <br /> <br />tf (sec.) <br /> <br />2A (sq.ft.) <br />s <br /> <br />(17) <br /> <br />Now the ratio of the two new values, hmaxk/hweirk is used in Eq. (15) to <br />compute a new submergence correction factor. <br /> <br />.. <br /> <br />If the new maximum breach outflow computed via Eq. (16) is <br /> <br />significantly different (t 5%) from that computed in the previous iteration, <br /> <br /> <br />the procedure is repeated. Generally, within two or <br /> <br /> <br />three iterations the Ks value will converge and a suitable value for the <br /> <br /> <br />maximum breach outflow (Qb) is achieved which properly accounts for the <br /> <br /> <br />effects of submergence. <br /> <br />1-8 <br />