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<br />,- <br /> <br />. <br /> <br />, <br /> <br />M. G. FOLEY <br /> <br />566 <br /> <br />, <br /> <br /> <br />E <br />'" <br />u ) <br />, <br />" <br />,... <br />a. <br />w <br />o <br /><r <br />w <br />,... <br /><l <br />3' <br /> <br />~, <br />,V"\ <br />" <br />.:!' <br />~" I <br />"' <br />~~ TRANSITION 2 <br />0" <br />,v <br /><?o 50.50 MIN <br />.." <br />vO <br /> <br />'0 <br /> <br />20 <br /> <br />'0 <br /> <br />40 50 60 1'0 eo 90 100 <br /> <br />MEAN VELOCITY-V {em/seel <br />Figure 7. Depm versus velocity curve for run F-l~l1. <br /> <br />change between each poine is reduced by me [Otal change, 0.031 <br />em, divided by the number of poims. This linear correcrion assigns <br />the same error to each point and results in a curve with the <br />minimum positive mean-bed elevation change during the run. <br />Howc:ver, [he largest errors in mean-bed elevation change between <br />points should occur during the early phase of the flow when trans- <br />parr rare and rransport-rarc fluctUations are the greatest. The <br />solid-circle poims in Figure 63 show an adjusted curve in which a <br />body shifr 01 +0,031 em has been made to the initial point. This <br />adjustment assigns aU of the error to the first !TIcasurernent interval <br />and results in a curve with the maximum positive mean.bed eleva- <br />cion change during che run. Spreading me error over the first five or <br /> <br />o <br />MIN. BEDFORM <br />TROUGH L'.ELEV -I <br />(em) -2 <br /> <br />15 <br /> <br />fb/f~ <br /> <br />10 <br /> <br />5 <br /> <br />Figure 8. Data summary <br />plot fot run F-l-ll. <br /> <br /> I <br /> 0.7 <br /> 0,6 <br /> 0,5 <br />Ib 0.4 <br /> 0.3 <br /> 0,2 <br /> 0,1 <br /> 0 <br /> 1.3 <br /> II <br />F 0,9 <br /> 0.7 <br /> 0,5 <br /> 0,3 <br /> 0 <br /> <br />10 <br /> <br />ten points is more realistic and would result in a "true" curve ir' <br />ruled area berween the two adjusted curves. A sense of propor <br />in the magnified vertical-scale plot (Fig. 6a) is provided by a ~ <br />grain shown ro scale. For this equilibrium run, maximum mean <br />elevation change during the Rood is bur one to tWO sand-g <br />diamete~ of fill foHowed by scour to the initial mean-bed e1eval <br />By comparison, Figure 6b shows unadjusted F-l-11 data plorrel <br />a less-exaggerated vertical scale along with maximum depth of <br />reworking by bed forms plotted to the same scale. This l <br />reworking depth was measured as the minimum elevation of <br />bottoms of bed-form troughs seen in cross section against the fll <br />window. Bed-form trough depths in the center of rhe channel, I <br />ticularly amidunes, will be considerably greater rhan the ones n <br />sured at the window. Figure 6b shows clearly thar mean-bed ell <br />cion Rucruations are less than 3% of bed reworking by bed fo <br />when the worsr-case adjusred data are used. <br />The fill-and-scour rather than scQur.and-611 style of mean- <br />elevation changes needs consideration, since it does nor agree \' <br />the classical concepr of bed behavior. Two probable causes <br />mean-bed elevation fluctuations - the arbitrary sediment-inpul <br />larion and unsteady-flow effects - will be considered by mean <br />pertinent laboratory data. <br />Effect of Sediment.lnpur Relarion on Mean-Bed Elevation <br />havior. Steady-srare experiments, thar is, ones in which wa <br />discharge and sediment-input rares are constant, were conducte\ <br />invesrigate me behavior of rhe sand and the channel used in cr <br />experimenrs. It was found that equilibrium conditions prevailed <br />sready.state flow with water discharge of 7,500 cm3fs <br />sediment-input tate of 41.1 cm3/s at a slope of O~l06. At this sl. <br />and lesser sready.state discharges, the sediment-transport rate <br />hayed as Cst cc QIS-t.. <br /> <br /> <br /> <br />0- <br />W <br />0:: <br />::> <br />'" <br />"- <br /> <br />iTRAN71TION <br /> <br />TRANSITION <br />2 <br /> <br /> <br />z~ <br />Ow <br />-...J <br />>-0. <br /><t::;; <br />::;;0 <br />g5u <br />"-<J1 <br />wO:: <br />...J<t <br />"-w <br />0."- <br />-"- <br />O::<l <br /> <br />~I <br /> <br />gl <br /> <br /><t' <br />::;;en <br />O::z <br />0_ <br />"- '" <br />w <br />WQJ <br />...J <br />"- <br />"- <br />0:: <br /> <br />'" <br /><l <br />W <br />0:: <br />m <br /> <br /> <br />w <br />a. <br />ON <br />--' ., <br />en <br /> <br />-~ <br /> <br />>::::. <br />, ~ <br />u- <br /> <br />20 30 <br />HYDROGRAPH ELAPSED <br /> <br />40 <br />TIME {minI <br /> <br />50 <br />