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<br />be recomputed with the upstream depth thus found as a control depth and <br />proceeding in an upstream direction. The downstream depth (less than critical) <br />is determined by finding the depth corresponding to the momentum flux for <br />the constricted section at critical depth. The downstream depth thus found <br />is used as a control depth to continue water surface computation in the <br />downstream direction as far as downstream flow conditions permit. <br /> <br />(5) Weir flow is computed by the weir equation: <br />CLH3/2 where, <br /> <br />Q <br /> <br />= <br /> <br />e <br /> <br />- <br /> <br />coefficient of discharge (see exhibit 2) <br /> <br />L <br /> <br />= <br /> <br />effective length of weir controlling flow <br /> <br />H <br /> <br />- <br /> <br />difference between the energy grade line elevation and the roadway <br />crest elevation <br /> <br />Q <br /> <br />- <br /> <br />total flow over the weir <br /> <br />The approach velocity is included by using the energy grade line elevation in <br />lieu of the upstream water surface elevation for computing the head, H. The <br />coefficient of discharge "e" should not be greater than 3.1 for critical <br />depth control, and in actual practice should be around 2.5 to allow for losses <br />caused by bridge railings, etc. Where submergence by tailwater exists the <br />coefficient "e" is reduced by the computer program according to the method <br />indicated in reference (c). The total flow, Q, 1.5 computed by dividing the <br />weir flow into subareas, computing L, Hand Q for each subarea and summing all <br />subareas. <br /> <br />(6) Pressure flow computations use the orifice flow equation of <br />U. S. Army Engineering Hanual 1110-2-1602, "Hydraulic Design of Reservoir <br />Outlet Structures", August 1963 (reference e): <br /> <br />Q _ A72~H <br /> <br />where, <br /> <br />H = difference between the energy gradient' elevation upstream and <br /> tailwater elevation downstream <br />K - total loss coefficient (see exhibit 2) <br />A - area of the orifice <br />g - gravitational acceleration <br />Q - total orifice flow <br /> <br />11 <br />