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<br />LIMITATIONS OF THE PREDICTION AND REGIME EQUATIONS <br /> <br />The following restrictions need to be observed when using the <br /> <br />previously developed equations to predict the Manning's n (equation 10), <br /> <br />the velocity (equation 11), and the discharge (equation 12) of steep- <br /> <br />gradient streams: <br /> <br />1. The equations are applicable to natural main channels having <br /> <br />stable bed and bank materials (gravels, cobbles, and boulders) and <br /> <br />average values of the roughness coefficients in equation 5. <br /> <br />2. The equations can be used for slopes from 0.002 to 0.04 and <br /> <br />for hydraulic radi i from 0.5 to 7 ft (0.15 to 2.1 m). The upper limit <br /> <br />on slope is due to a lack of verification data available for the slopes <br /> <br />" <br />of steep~gradient streams. Discharges used to develop these equations <br /> <br />ranged from low flows up to discharges equivalent to a flood having <br /> <br /> <br />o <br /> <br /> <br />about a 25-year recurrence interval. Equation 10 appears to under- <br /> <br />estimate channel roughness and equations 11 and 12 overestimate the <br /> <br />velocity and discharge of low flows. The differences in flow depths of <br /> <br />flows having a 25- to 100-year recurrence interval are generally quite <br /> <br />small so that extrapolation to larger flows should no~ be too much in <br /> <br />error as long as the bed and bank 'material remain fairly stable. Results <br /> <br />of the regression analyses indicated that for hydraulic radius greater <br /> <br />than 7, n did not vary significantly with depth. <br /> <br />3. The energy-loss coefficients due to acceleration or decelera- <br /> <br />tion of velocity in a contracting o'r expanding reach of channel were <br /> <br />assigned the values 0 and 0.5, respectively. Analysis of the data <br /> <br />indicates that moderate to severe natural channel expansions cause large <br /> <br />energy losses and therefore the expansion coefficient for these reaches <br /> <br />should be increased. <br />