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<br />44 <br /> <br />TECHNIQUES OF WATER-RESOURVES INVE&rIGATIONB <br /> <br />Table: 6.-Oischarge coefricients for box or pipe cul....erts set <br />flush in 0 vertical headwall with variation of head and <br />entrance rounding or beveling; type 5 flow <br /> <br />hl-Z <br /> <br />r/b,w/b,rlD,orw/D <br /> <br />D I <br />o 0.02 0.04 0,06 0.08 I 0.10 0.14 <br />-- - -I-- <br /> <br />I. 4 0,44 0. 46 0,49 0. 50 O. 50 0, 51 0, 51 <br />1.5 ,46 .49 .52 ,53 .53 ,54,54 <br />1. 6 . 47 ' 51 . 54 ' 55 , 55 ,56 ,56 <br />1. 7 ,48 ' 52 .55 ' 57 .57 . 57 ,57 <br />1. 8 , 49 ' 54 . 57 ' 58 , 58 ,58 ,58 <br />1.9 ,50 ,55 .58 ,59 .60 .60,60 <br />2, 0 , 51 , 56 . 59 ' 60 ,61 i ,61 ,62 <br />2,5 ,54 .59 .62 ,64 ,64 ,65.66 <br />3, 0 ' 55 ' 61 . 64 , 66 , 67 ,69 ,70 <br />3, 5 ' 57 ' 62 . 65 ' 67 ' 69 ,70 ,71 <br />4. 0 ' 58 . 63 ' 66 , 68 ' 70 ,71 ,72 <br />5. 0 ' 59 ' 64 . 67 , 69 . 71 I ,72 ,73 <br /> <br />than 0.03 will type 5 flow occur. Even under <br />these conditions the flow may eventually tranH- <br />late to type 6 flow. If type 5 flow is believed to <br />exist, the following dischar!(e coefficients are <br />applicable: <br /> <br />(hl-Z)/D C I (1i1-z)JD C <br />--- --- ---- <br />1.4 0, 48 2,0 0,57 <br />1.5 ,50 2,5 ,59 <br />1.6 ,52 3,0 ,61 <br />I 1.7 ,53 3,5 .63 <br />1.8 ,55 4.0 .65 <br />LI.9 ,56 5,0 i ,66 <br /> <br />Wingwall entrance <br /> <br />Pipe culverts set flush with vertical headwall <br /> <br />For pipes set flush with a vertical headwall, <br />the addition of wingwalls to the entrance does <br />not, affect the dischar!(e coefficient, which can <br />be determined from table 6, <br /> <br />Box culverts <br /> <br />Determine the discharge coefficient for box <br /><,ulverts with wing-walls and a square top en- <br />trnnee from llthle 7. If the top entrance is <br />rOlludcd or heveled, Helect the coefficient from <br />tuhl. {i on the l",siH of wiD or "ID for the top <br />('tltrlltlCe, bllt llse the coefficient from table 7 <br />a:-; II lower limiting- vulue. <br /> <br />Projecting entrance <br /> <br />Corrugated-metal pipes and pipe-orches <br /> <br />Def,ermine t.he dischnrge coefficient for pipe~ <br />und pipe.n.rehes thnt. extend pnst n helldwllll or <br /> <br />Table 7.-Discharge coefficients for box culverts with wing_ <br />W<llls with variation of head and wingwall angler 8; type <br />5 flow <br /> <br />Ill-z I Wlngwall angle, f! <br />-iJ~ I ,~ ---- <br /> 30' <s' Ol" '" 90' <br />--I -----1- ,.-.--- ---.- ---~--~ -----.-- <br />1.3 0, 44 0,44 0, 43 0, 42 0,39 <br />1.4 ,46 ,46 ,45 ,43 ,41 <br />1.5 ,47 ,47 ,46 .45 ,42 <br />1.6 ,49 ,49 ,48 .46 ,43 <br />1.7 ,50 ,50 ,4R ,47 ,44 <br />I.R ,51 ,5t ,50 ,48 ,4.5 <br />1.9 ,52 ,52 ,5] ,49 ,46 <br />2,0 ,53 ,53 ,52 ,49 ,46 <br />2,5 ,56 ,56 ,54 ,52 ,49 <br />3,0 ,58 ,58 ,56 ,54 ,50 <br />3, 5 ,60 ,60 ,58 ,55 ,52 <br />4, 0 ,61 ,61 ,59 .56 ,53 <br />5,0 ,62 ,62 ,60 .58 ,54 <br /> <br />embankment by fi",t, selecting a coefficient from <br />table 6 and (,hen multiplyin~ by an adjust.ment, <br />fuetor kL, <br />Conctp.te pipe with beveled end <br />Determine the discharge coefficient for a <br />concrete pipe with a beveled end directly <br />from table 6, <br /> <br />Mitered pipe set flush with slaping embankment <br />Determine the discharge coefficient for mi- <br />tered pipes set flush with a sloping embank- <br />ment by first selecting a coefficient from <br />table 6 for a square-ended pipe and then <br />multiplying this coefficient by 0.92. If the <br />mitered pipe is thin walled (such as corrugated <br />metal) and projects beyond the embankment, <br />the adjustment factor kL should be applied <br />also. <br /> <br />Unusual culvert entrances <br /> <br />The coefficient of discharge for the commer- <br />cial flared opening described in figure 8 is <br />0,95 for flow types 1, 2, and 3 for all diam- <br />eters of pipe and all values of (h,-z)ID. The <br />properties of these flared end sections are <br />shown in figure 8. <br />For culvert entrances of unusual shape, <br />estimate the discharge coefficient on the basis <br />of known values for the more common shapes <br />(reentrant, sharp, 45-de!(ree wingwalls), For <br />the six types of flow discussed in this manual, <br />this entrance coefficient can usually be esti- <br />mated with sufficient accuracy, In high-head <br />flow the entrance shape is very i;"portant <br /> <br />e <br /> <br />-e <br /> <br />-e <br />