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<br />EM 1110-2-1601 <br />1 Jul 91 <br /> <br />these criteria. Important junctions in rapid flow designed <br />to reduce wave effects should be model tested at all prob- <br />able flow combinations as well as at desi gn flow. <br /> <br />d. Confluence design crireria. <br /> <br />(1) The results of several model studies in USAED, <br />Los Angeles, indicate that some general guides can be <br />adopted for the design of contluence junctions. Gildea <br />and Wong (1967) have summarized some of these criteria: <br /> <br />(a) The design water-surf3Ce elevations in the two <br />joining channels should be approximately equal at the <br />UpStre:lm end of the confiuence. <br /> <br />(b) The angle of junction intersection should be <br />preferably zero but not greater than 12 deg. <br /> <br />(c) Favorable now conditions can be 3Chieved with <br />proper expansion in width of the main channel below the <br />junction. <br /> <br />(d) Rapid flow depths should not exceed 90 percent <br />of the critical depth (Froude number should be greater <br />than 1.13) to maintain stable rapid flow through the junco <br />tion (paragraph 2-2d(1)). <br /> <br />(2) Model tests of many confluence SO"Uctures indi- <br />cate very little crosswave formation and turbulence at the <br />junction if these criteria are followed. Moreover, experi- <br />ence has shown that the momentum equation approach <br />given in Appendix E can be used for junctions involving <br />small angles and equal UpStre:lm water-surf3Ce elevations. <br /> <br />(3) Typical confluence layouts model tested by <br />USAED, Los Angeles. and proven to have good flow <br />characteristics are shown in Plate 56. The design with the <br />offset in the main channel center line is normally used <br />(plate s6a). WIlen the main channel center-line alignment <br />cannot be offset. a layout with a transition on the wall <br />opposite the inlet side should be used (plate 56b). The <br />proper amount of expansion in the main channel down- <br />Stre:lm of the contluence is very important in maintaining <br />good flow conditions. Plate 57 gives the USAED, Los <br />Angeles. empirical curve for the required iRCre:lSC in <br />channel width. A~, as a function of the discharge ratio. <br />If the junction angle is zero, the width of the channel at <br />the confluence will be equal to the sum of the widths of <br />the main and side channels plus the thickness of the <br />dividing wall between the channels. If a reduction in <br />width is required dOWRStre:lm from the connuence, the <br />transition should be made gradually. <br /> <br />4-6 <br /> <br />e. Design procedure. The design procedure for the <br />typical open channel connuence shown in Plate 56 in- <br />volves the followin g steps: <br /> <br />(I) Determine side-channel requirements relative to <br />discharge. alignment. and channel size. <br /> <br />(2) Select junction point to obtain an enlrance angle <br />less than 12 deg. This angle requirement may necessitale <br />a long, spiral curve for the side channel upslream from <br />the junction. <br /> <br />(3) Determine the increase of channel width ~ <br />from the QZfQ3 ratio curve in Plate 57. Compute the <br />required downStre:lm channel width ~ = bl + ~ and <br />the confiuence width be" bl + ~. <br />(4) Make the confluence layout on a straight-line <br />basis by setting the main channel walls parallel to and at <br />distances of (1/2)~ and be' (I/2)b3 from the center <br />line as shown in Plate 56a. <br /> <br />(5) Connect the left walls of the side and the main <br />channels by a curve determined by the apex angle , and <br />a radius rL given by <br /> <br />4V2b2 <br />rL= +400 <br />gy <br /> <br />(4-7) <br /> <br />Equation 4-7 results from a study of a number of con. <br />fluences built by USAED, Los Angeles. The term <br />(4y2bz)fgy is the same as that used in Equation 2.34. <br /> <br />(6) Make the right wall of the side channel concen- <br />tric with the left wall and locate the junction intersection <br />point. The right wall radius rR is given by <br /> <br />rR = rL + b2 <br /> <br />(4-8) <br /> <br />(7) Determine the average depth of now at midpoint <br />of the confluence by the momentum method (Appen- <br />dix E) assuming bm = (1/2) (bl + bz + be> ' <br /> <br />(8) Set the side-channel invert elevation so that the <br />design water-surface levels in both channels approximate <br />each other. A stepped invert in either of the channels <br />may be required. <br />