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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
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