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<br />The loss coefficient for friction, kf, should be computed using Manning's <br /> <br />t' h k ,9.1 n2L (English) or 19.6 n2L (Metric). <br />equa 10n were f = R4/3 R4/3 <br /> <br />Multiple Culverts: <br /> <br />Q = <br /> <br />l,gH . AT IUK l' ,where AT = Total Area <br />equ v <br /> <br />Kequi v = <br /> <br />AT' <br /> <br />~ Al~ <br />lL J Ki J <br /> <br />III. Coefficient of Discharge, "c" (Variable COFQ) <br /> <br />Under free flow conditions (discharge independent of tailwater), the <br />coefficient of discharge, "C", ranges from 2.5 to 3.1 (1.39 - 1.72 <br />Metric) depending primarily upon the gross head of the crest ("C" <br />increases with head) and resistance to flow caused by obstructions <br />such as bridge railings, curbs, and other barriers. For road ap- <br />proaches with a trapezoidal shaped cross section, a coefficient of <br />3.0 would be reasonable. For flow over bridge decks, a value of 2.5 <br />could be used. <br /> <br />When submerged flow (discharge affected by tailwater) occurs, the <br />coefficient "C" should be reduced. This is done automatically by <br />tbe computer program using Waterways Experiment Station Design <br />Chart 111-4 for an ogee shaped weir. <br /> <br />IV. Expansion and Contraction Coefficients <br /> <br />These coefficients are used to compute losses caused by changes in <br />the river cross sections. For long gradual transitions, the coef- <br />ficients are small. For short abrupt transitions, they are large. <br />The transition loss is computed as the coefficient times the dif- <br />ference in velocity head between cross sections. <br /> <br />Coeffi c i ent <br />Expansion Contraction <br />0.0 0.0 <br />0.3 0.1 <br />0.8 0.6 <br /> <br />No transition <br />Gradual transitions <br />Abrupt transitions <br /> <br />r:xhibit 2 <br />Page <:: of <:: <br />