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<br />at (Xi/2) miles downstream of the dam. This flow is multiplied by the <br />factor (0.3 + ;/10) and substituted into Eq. (30) or (31) to find the <br />reference depth (href). <br /> <br />h = (,g,a) lib <br />If Q < Qv' then ... <br /> <br />where a and b are defined by Eqs. (9 and 10). <br /> <br />If Q > Q . then... h = p Q 3/5 + Y h <br />v v <br /> <br />where p and Yare defined by Eq. (12) and (13). <br /> <br />The reference hydraulic depth is given by Eq. (32) or Eq. (33) i.e.: <br /> <br />CASE I: <br /> <br />h <br />ref <br />then D = - <br />xi m+l <br /> <br />If href < hv' <br /> <br />CASE II: <br /> <br />h <br />-h +.2- <br />v m+l <br /> <br />If h f > h . then D = h <br />re v xi ref <br /> <br />The reference flow velocity is given by the Manning equation, i.e.: <br /> <br />v (ft/s) = 1.49 S 1 /2 <br />xi n <br /> <br />D <br />xi <br /> <br />2/3 <br /> <br />This value for V is substituted into the wave celerity equation <br />xi <br />(Eq. (35)) to find the wave speed. <br /> <br />C( mi/hr) = <br /> <br />[ 5/3 <br /> <br />-2/3 <br /> <br />(;:J] <br /> <br />0.682 V <br />xi <br /> <br />The time to peak is then given by Eq. (36) as follows: <br /> <br />(30) <br /> <br />(31) <br /> <br />(32) <br /> <br />(33) <br /> <br />(34) <br /> <br />. <br /> <br />(35) <br /> <br />1-20 <br />