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<br />The largest discharge measurements for Cottonwood Creek, South Fork Rio <br />Grande, and Trout Creek were not used to develop the equation for predicting <br />Manning's n because of the extreme effects of bank vegetation, as shown in <br />figure 11, The resulting equation developed for predicting Manning's n for <br />higher gradient natural channels is: <br /> <br />n = 0.39 s 0.38R-O.16 <br />f <br /> <br />(6) <br /> <br />I <br />I <br />I' <br />I. <br />I <br /> <br />and is graphically depicted in figure 12. The average <br />mate is 28 percent with a range of -24 to +32 percent. <br />and deviation of computed from observed value is shown <br /> <br />standard error of esti- <br />The predicted n value <br />in table 3. <br /> <br />Barnes' (1967) and Limerinos' (1970) data were used to determine if equa- <br />tion 6 produced reasonable results and to determine its range of applicabil- <br />ity. For slopes greater than 0.002 and a hydraulic radius less than 7 ft, the <br />standard deviation of the percentage differences was 23 percent and ranged <br />from -44 to +50 percent. An application of this equation is given later in <br />the report in the section entitled, "Procedure for assigning n values," <br /> <br />The following limitations need to be observed when using the Manning n <br />prediction equation as an aid in evaluating channel roughness: <br /> <br />1. The equation is applicable to natural main channels having <br />relatively stable bed and bank material (cobble- and bou1der- <br />bed material), for average factors affecting roughness <br />coefficients. <br /> <br />2. The equation is applicable within a range of slopes from 0.002 to <br />0.04 and for hydraulic radii from 0.5 to 7 ft. The upper limit <br />on slope is due to a lack of verification data available for the <br />slopes of high-gradient streams. Caution needs to be used in <br />applying available hydraulic equations ,to streams with slopes <br />greater than 0.04 because the applicability of the equations is <br />questionable. Results of the regression analyses indicated that <br />for a hydraulic radius greater than 7 ft, n did not vary <br />significantly with depth; hence, extrapolation to large flow <br />depths should not be too much in error as long as the bed and <br />bank material remain'fairly stable, <br /> <br />I' <br /> <br />3. The energy loss coefficients due to acceleration or deceleration <br />of velocity in a contracting reach were assumed to 0 and in an <br />expanding reach were assumed to be 0.5, Analysis of the data <br />indicates moderate to severe natural channel expansions caused <br />large energy losses, and the expansion coefficient needs to be <br />increased in these reaches. <br /> <br />. <br /> <br />4. The equation is not applicable in reaches of stream affected by <br />backwater from downstream obstructions. <br /> <br />35 <br />