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<br />The values of alpha, which ranged from 1.0 to 2.0, shown in table <br /> <br />and the correlation coefficients shown in table 3 indicate a slight <br /> <br />tendency for alpha to decrease with discharge and depth (hydraulic <br /> <br />radius). There is also a sl ight tendency for alpha to increase with <br /> <br />channel roughness, slope, and particle size. Because the alpha values <br /> <br />consist of two subsets, one including natural channels and another <br /> <br />including channels having manmade obstructions, subsequence analyses <br /> <br />were made on each subset. Attempts made to develop relations between <br /> <br />alpha and other hydraulic or bed-material properties were unsuccessful <br /> <br />because of the complexity of the changes in alpha and these variables. <br /> <br />The mean of all the alpha values and the means of the two subsets ranged <br /> <br />from 1.33 to 1.34. <br /> <br />Inspection or the values of alpha in table 1 indicates they are <br /> <br />much greater than the value of 1 assumed in equations 6, 7, and 9. <br /> <br />the alpha of all cross sections at high flows. The majority of the <br /> <br /> <br />However, the solution of equation 9 for a multisection reach involves an <br /> <br />evaluation of the difference between the alpha coefficients of upstream <br /> <br />and downstream sections. Therefore, although the value or alpha may be <br /> <br />greater than 1.0, what is important and consequently what would affect <br /> <br />I <br />the accuracy of the computed n value is the relative difrerence between <br /> <br />alpha upstream and downstream. It would be nearly impossible to measure <br /> <br />reaches used are basically uniform throughout, although slightly con- <br /> <br />tracting, as indicated by the basic hydraulic properties. Therefore, <br /> <br />the higher values of alpha should not introduce much error in the com- <br /> <br />puted n values. However, those studies that evaluate the velocity head <br /> <br />to determine mean channel velocity at one cross section, such as techniques <br /> <br />using superelevation around bends or dynamic uprise (velocity head <br /> <br />buildup), could be in considerable error in assuming alpha equals 1 in a <br /> <br />simple trapezoidal-shaped channel cross section. <br />If'! <br /> <br />