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<br />EM 1'10-2-1601 <br />1 Jul 91 <br /> <br />d. Bend loss. There has been no complete. sys- <br />tematic study of head losses in channel bends. Data by <br />Shulay (1950), Raju (1937), and Bagnold (1960) suggest <br />that the increased resisrance loss over and above that <br />attributable to an equivalent straight channel is very small <br />for values of r/W > 3.0. For very sinuous channels, it <br />may be necessary to increase friction losses used in de. <br />sign. Based on tests in the Tiger Creek Flume, Scobey <br />(1933) recommended that Manning's n be increased by <br />0.001 for each 20 deg of curvature per 100 ft of channel. <br />up to a maximum incre:lSC of about 0.003. The small in- <br />crease in resistance due to curvature found by Scobey was <br />substantiated by the USBR field tests (Tilp and Scrivner <br />1964) for r/W > 4. Recent experiments have indicated <br />that the channel bend loss is also a function of Froude <br />number (Rouse 1965). According to experiments by <br />Hayat (Rouse 1965), the free surface waves produced by <br />now in a bend QI\ cause an increase in resistance. <br /> <br />2-6. Special Considerations <br /> <br />a. Freeboard. <br /> <br />(1) The freeboard of a channel is the venical dis- <br />tance measured from the design water surface to the top <br />of the channel wall or levee. Freeboard is provided to <br />ensure that the desired degree of protection will not be <br />reduced by unaccounted factors. These might include <br />erratic hydrologic phenomena; future development of <br />urban areas; unforeseen embankment settlemenl; the accu- <br />mulation of silt. Irash, and debris; aquatic or other growth <br />in the channels; and variation of resistance or other coeffi- <br />cients from those assumed in design. <br /> <br />(2) Local regions where water- surface elevations are <br />difficult to determine may require special consideration. <br />Some eXanlples are locations in or neat channel curves. <br />hydraulic jumps, bridge piers. aransitions and drop <br />structures. major jUllctions. and local storm inflow SlrOC- <br />tures. As these regions are subject to wave-action <br />uncertainties in water-surface computations and possible <br />overtopping of walls, especially for rapid flow. conserva- <br />tive freeboard allowances should be used. The baclcwater <br />effect at bridge piers may be especially critical if debris <br />accumulation is a problem. <br /> <br />(3) The amount of freeboard cannot be fIXed by a <br />single. widely applicable formula. It depends in large part <br />on the size and shape of channel. type of channel lining, <br />consequences of damage resulting from overtopping, and <br />velocity and depth of flow. The following approximate <br />freeboard allowances are generally considered to be satis- <br />factory: 2 ft in rectangular cross sections and 2.5 ft in <br /> <br />2.14 <br /> <br />trapezoidal sections for concrete-lined channels: 2.5 ft for <br />riprap channels; and 3 ft for earth levees. The freeboard <br />for riprap and earth channels may be reduced somewhat <br />because of the reduced hazard when the top of the riprap <br />or earth channels is below natural ground levels. It is <br />usually economical to vary concrete wall heights by O.5-ft <br />increments to facilitate reuse of forms on rectangular <br />channels and trapezoidal sections constructed by channel <br />pavers. <br /> <br />(4) Freeboard allowances should be checked by <br />computations or model tests to determine the additional <br />discharge that could be confmed within the freeboard <br />allowance. If necessary. adjustments in freeboard should <br />be made along either or both banks to ensure that the <br />freeboard allowance provides the same degree of protec. <br />tion against overtopping along the channel. <br /> <br />b. Sediment transport. Flood conlrOl channels with <br />tranquil flow usually have protected banks but unprotected <br />inverts. In addition to reasons of economy, it is some- <br />times desirable to use the channel slre:lmbed to percolate <br />water into underground aquifers (USAED, Los Angeles, <br />1963). The design of a channel with unprotected inverts <br />and protected banlcs requires the determination of the <br />depth of the bank protection below lhe invert in regions <br />where bed scour may occur. Levee heights may depend <br />on the amount of sediment that may deposit in the chan- <br />nel. The design of such channels requires estimates of <br />sediment trnnspon to predict channel conditions under <br />given flow and sediment characteristics. The subject of <br />sediment trnnsport in alluvial channels and design of <br />canals has been ably presented by Leliavslcy (1955). <br />Fundamenlal information on bed-load equations and their <br />background with examples of use in channel design is <br />given in Rouse (1950) (see pp 769-857). An excellent <br />review with an extensive bibliography is available (Chien <br />1956). This review includes the generally accepted <br />Einstein approach to sediment transport. A comparative <br />lre:ltment of the many bed-load equations (Vanoni. <br />Brooks, and Kennedy 1961) with field data indicates that <br />no one formula is conclusively bener than any other and <br />that the acc=y of prediction is about :100 percent. A <br />recent paper by Colby (1964b) proposes a simple, direct <br />method of empirically correlating bed. load discharge <br />with mean channel velocity at various now depths and <br />median grain size diameters. This procedure is adopted <br />herein for rough estimates of bed-load movement in nood <br />cona-ol channels. <br /> <br />c. Design curves. Plate 27 gives curves of bed-load <br />discharge versus channel velocity for three depths of now <br />and four sediment sizes. The basic ranges of depths and <br />