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<br />31 <br /> <br />The form of this equation is analogous to the wier equation, <br /> <br />Q = CLH1.5. Conditions of application are also similar, as flow is <br />in a rapidly varying state. Equation (3-1) is proposed to be used <br />for finding the water surface elevation at any section where an energy <br />balance with the previous section could not be attained within <br />tolerable limits. This control section computation mechanism will <br />thus account for problems of shifts of control sections with changing <br /> <br />discharges. The equation should provide a fairly accurate solution <br /> <br />of water surface elevation at any control section in a natural channel, <br /> <br />if the section coefficient and hydraulic exponent can be adequately <br /> <br />defined. A long reach of stream with a sustained supercritical flow <br /> <br />could cause significant error. Such a condition is not covered by <br /> <br />the present scheme because, as mentioned previously, long sustained <br /> <br />reaches of rapid flow are hypothesized as not occurring in natural <br /> <br /> <br />stream flow. Such a condition can be solved by calculating downstream <br /> <br /> <br />from a section of critical flow. The photographs in Appendix E, and <br />earlier efforts at computation of water surface profiles assuming <br />sustained rapid flow in mountain streams, tend to support this hypothesis. <br /> <br />The main problem in application is to properly assign values of <br /> <br />the section coefficient C and hydraulic exponent m. In construction <br />s <br />of this program, it is assumed that these values remain relatively <br /> <br />constant throughout the length of the channel. The assumption should <br /> <br />be valid where all cross-sections are formed in the same type of <br /> <br />material and are subjected to the same set of constraints. This is <br /> <br />equivalent to stating that, given similar conditions of formation, <br />stream cross-sections will develop similar hydraulic characteristics. <br /> <br />Should the stream traverse areas where a different set of stream <br />