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<br />. <br /> <br />12 <br /> <br />3. Channel shape, expressed as width to depth ratio W/Y, is directly <br /> <br />related to sediment discharge <br /> <br />Q . <br />s <br /> <br />. <br /> <br />4. Channel slope S is inversely proportional to water discharge Q <br /> <br />and directly proportional to both sediment discharge Qs and grain <br /> <br />size DSO' <br />5. Sinuosity s is directly proportional to valley slope and inversely <br /> <br />. <br /> <br />proportional to sediment discharge <br /> <br />Q . <br />s <br /> <br />6. Transport of bed material Qs is directly related to stream power . <br /> , V and concentration of fine material Cf and inversely related <br /> 0 <br /> to the fall diameter of bed material DSO' Here, the fall diameter <br /> is defined as the diameter of a sphere that has a sped fic gravity . <br /> <br />of 2.65 and has the same terminal uniform settling velocity as the <br /> <br />particle when each is allowed to settle alone in quiescent-distilled <br /> <br />water of infinite extent at a temperature of 240 C. <br /> <br />. <br /> <br />A very useful relation for predicting system response was developed by <br /> <br />Simons et al. (1975) establishing a proportionality between bed material trans- <br /> <br />port and several related parameters. <br /> <br />. <br /> <br />(, V) W Cf <br />Q "v 0 <br />s D50 <br /> <br />(2-6) <br /> <br />where, <br /> <br />, = bed shear stress, pounds/foot, <br />o <br /> <br />. <br /> <br />V = cross-sectional average velocity, fps, <br /> <br />W = channel width, feet, <br /> <br />Cf = concentration of fine material load, ppm. <br /> <br />. <br /> <br />Equation 2-6 can be modified by substituting yYS <br /> <br />for T and Q = AV = WYV <br />o <br /> <br />from continuity, yielding <br /> <br />Q "v yQS <br />s DSO/Cf <br /> <br />(2-7) <br /> <br />. <br /> <br />. <br />