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<br />38 <br /> <br />TECHNIQUES OF WATER-RESOURCES INVESTIGATIONS <br /> <br /> <br />Types 1, 2, and 3 flow <br /> <br />For culverts, the ratio of channel contraction, <br />m, is defined as (I-AlAI) where A is the area <br />of flow at the terminal section and AI is the <br />area of the approach section. Because the value <br />of m is usually large for flood flows, the labora- <br />tory tests placed emphasis on the condition. <br />However, tests on flow through bridge openings <br />demonstrate that the discharge coefficient varies <br />almost linearly between values of m from 0 to <br />0.80, and that the coefficient reaches a mini- <br />mum value atm=0.80. All coefficients given <br />herein are for an m of 0.80. If the contraction <br />ratio is smaller than 0.80, the value of C may <br />be computed by inl<lrpolating between the value <br />of C listed for an m of 0.80 and a value of C <br />of 0.98 for an m of O. The following formula <br /> <br />m-O <br /> <br />0,1 <br /> <br />0,95 <br /> <br />0,90 <br /> <br />v <br /> <br />0,80 <br /> <br />0,75 <br />0,75 <br /> <br />may be used in place of interpolation: C(ad- <br />justed) =0.98- (0.98- O)mI0.80. This formula <br />is shown in graph form in figure 19. This adjust- <br />ment is made as the last step in the computation <br />of the discharge coefficient. Example 10 of the <br />sample computations shows this adjustment, <br /> <br />Flush setting in vertical headwall <br /> <br />Pipe culverts <br />The discharge coefficient for square-ended <br />pipes set flush in a vertical headwall is a func- <br />tion of the ratio of the headwater height to the <br />pipe diameter, (h ,-z) ID, The coefficient for flow <br />types 1, 2, and 3 can be determined from <br />figure 20, <br />If the entrance to the pipe is rounded or <br />beveled, compute the discharge coefficient by <br /> <br />0,80 <br /> <br />0,85 0,90 <br />C for m of 0.80 <br /> <br />0,95 <br /> <br />Figure 19.-Adjustm~nt to discharge coefficient for degree of channel contradion. <br /> <br />e <br /> <br />e <br /> <br />-e <br />