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<br />6 <br /> <br />TECHNIQUES OF WATER-RESOURCES INVESTIGATIONS <br /> <br />If no solution is possible, a message, "NO <br />SOLUTION TYPE FIVE FLOW." is printed. <br />A type 6 flow computation is attempted wheth- <br />er or not a type 5 flow solution is obtained. <br /> <br />Type 6 Flow <br /> <br />Type 6 flow occurs when a culvert flows <br />full under R- high head. Six steps are re- <br />quired to obtain the headwater elevation. <br /> <br />2 <br />29nL.. td' <br />1. The term. 4/3' 18 compu e 1n <br />R <br />o <br />which n is the roughness coefficient of the <br />harrel and R is the hydraulic radius of the <br />. 0 <br />full barrel. <br /> <br />2. The value of C is taken from columns <br />62- 65 of card 8. <br /> <br />3. A correction factor, kr is determined <br /> <br />from polynomial equations within the program <br />using values determined in steps 1 and 2. The <br />equations approximate the curves of figure 17 <br />in Bodhaine (1968). <br /> <br />4. The term, ~, is computed. <br />o <br /> <br />Q <br />5. JC;JD is divided by kf' and the result <br />o <br />is used to obtain a value of hI! D from the <br /> <br />polynomial equation of the bottom curve in <br />figure 17, Bodhaine (1968). <br /> <br />6. hi is computed by multiplying the value <br /> <br />of hj! D by D. <br /> <br />PROCEDURES <br /> <br />Field Data <br /> <br />A computer program for a complete stage- <br />discharge relation imposes a few constraints <br />not necessary when only one peak discharge <br />is determined~ Therefore, the field-party <br />chief should be familiar with all the require- <br />ments for computation. <br /> <br />An approach section is necessary ~ If most <br />of the flows will put the culvert under a high <br />head with ponded approach conditions. a sim- <br />ple trapezoidal section approximating the ap- <br />proach channel can be defined in the field <br />notes~ However, the stage- discharge relation <br />for low-head flows may not be very reliable~ <br /> <br />Be certain to extend the approach section <br />higher than the maximum headwater elevation <br />required, which is about 2~ 0 D +- z. If J.'ield <br />conditions make this impractical, assume <br />vertical ends up to the required elevation. <br /> <br />Measure pertinent culvert geometry care- <br />fully. Note size and spacing of corrugations, <br />and radius of rounding of corrugated-metal <br />pipes, pipe- arches, and multiplate arches. <br />Describe entrance and getaway conditions so <br />that an appraisal can be made of the discharg~ <br />coefficient and the possibility of tail.water <br />control. [)etermine elevations along the road- <br />way where overflow might occur~ Use a -sur- <br />vey datum low enough to avoid negative ele- <br />vations, although the computer can handle <br />them~ <br /> <br />Roughness Coefficients <br /> <br />Roughness coefficients must be selected <br />for the approach section below and above <br />designated elevations~ The elevations are <br />to the nearest foot and must be 1 foot, or a <br />multiple of 1 foot, apart~ The value of n is <br />constant below the lower elevation and above <br />the higher elevation and varies linearly with <br />depth between the two elevations~ Roughness <br />coefficients are selected in this manner for <br />each subarea. If both n's are the same, <br />there is no variation with depth. Select <br />roughness coefficients for the culvert barrel. <br />Bodhaine (968) furnishes guidelines on pages <br />jO and 11. <br /> <br />- <br /> <br />Coefficients of Discharge <br /> <br />Coefficients of discharge, C, for flow <br />types 1-6 were defined by laboratory study <br />and are discussed in detail by Bodhaine <br />(1968), pages 37-45. The coefficients vary <br />from 0.39 to 0.98, and they have been found <br />to be a function of the degree of channel con- <br />traction and the geometry of the culvert en- <br />trance. <br /> <br />For certain entranc-e geometries the dis- <br />charge coefficient is obtained by multiplying <br />a base coefficient by an adjustment factor <br />such as k or k ~ If this procedure results <br />r w <br />in a discharge coefficient greater than O. 98, <br />a coefficient of O. 98 is used automatically <br />by the computer as the limiting value; <br /> <br />The listing of discharge coefficients in <br />Bodhaine (1968). has been put into categories <br /> <br />~ <br />