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<br />29 <br /> <br />. <br /> <br />a contraction will have a lower velocity at the upper section, due <br /> <br />to continuity and the larger area of the upper section; thus a velo- <br /> <br />city decrease in the upstream direction indicates a contraction. By <br /> <br />analogous reasoning, a velocity increase indicates an expansion, While <br /> <br />it is known that contractions and expansions are responsible for <br /> <br />energy losses, quantitative determination of such losses has not been <br /> <br />developed to date. Based on field experience, the USBR uses coef- <br /> <br />ficients applied to differences in velocity heads for eddy losses. <br /> <br />Coefficients of 0.10 and 0.50 respectively, are applied to contractions <br />and expansions. The USCE uses values of 0.10 and 0.30, respectively. <br /> <br />For the case of steep mountain streams, the higher expansion losses <br /> <br />are assumed to be more applicable. The larger expansion losses are <br /> <br />due to the large energy losses associated with separation and att~ndant <br />turbulent eddies. <br /> <br />. <br /> <br />. <br /> <br />. <br /> <br />. <br /> <br />Operation of Program PR~~ <br />In the computational sequence, values for area and velocity from <br /> <br />the downstream section are assumed for the adjacent upstream section. <br /> <br />The elevation head and depth are added to the velocity head, and the <br /> <br />friction and eddy losses are subtracted and the remaining energy is <br /> <br />compared to energy at the downstream station. An adjustment is then <br /> <br />made, if required, to the water level at the upstream station. Adjust- <br /> <br />ments, which are based upon the computed difference in energy values, <br /> <br />will continue to be made until the computed difference is within a <br />satisfactory tolerance or the limit of iterations is reached. If the <br /> <br />energy level cannot be computed to a satisfactory tolerance within <br /> <br />the limit of iterations, a flow condition near critical is indicated. <br />