EX IC O Y N EW U College of Agriculture and Home Economics M TE TA Cooperative Extension Service S Estimating Water Flow From Pipes N IV E RSI T Guide A-104 C.H. Hohn, Extension Agricultural Engineer This publication is scheduled to be updated and reissued 10/02. In recent years, there have been increased demands upon our limited water supply by industry, cities and towns, recreation, and agriculture. So irrigators should use the available water supply more wisely than ever before. Proper management takes the guesswork out of the application of irrigation water to the land. Times and amounts of water applied are just as important as the times and amounts of seed and fertilizer used. Irrigation management involves measuring water at delivery points to determine exact amounts going to the field. The standard term for rate of flow of irrigation water is cubic feet per second (cfs). A cubic foot per second of water is flowing when a cubic foot volume of water (equal to one foot wide, one foot long, and one foot high) passes a given point every second. A cubic foot of water equals: • Approximately 405 gallons per minute (gpm). • Approximately 1 acre-inch per hour. • Approximately 1 acre-foot per 12 hours. • Approximately 2 acre-feet per 24 hours. An acre-inch is the volume of water required to cover an acre of land one inch deep. An acre-foot is the volume of water required to cover an acre one foot deep. The following tables will be helpful to the irrigator in determining the amount of water being applied to the land with nothing more than a carpenter’s rule: DISCHARGE FROM PIPES FLOWING FULL In Gallons Per Minute with Vertical Drop “Y” = 13 Inches Pipe size Inside diameter 2" 2.5" 3" 4" 5" 6" 7" 8" 9" 10" 11" 12" Area (Sq. In.) 3.14 4.91 7.07 12.57 19.64 28.27 38.48 50.27 63.62 78.54 95.03 113.10 Horizontal distance “X” 12" 38 59 85 151 236 339 462 603 763 942 1140 1357 14" 44 69 99 176 275 396 539 704 891 1100 1330 1583 16" 50 79 113 201 314 452 616 804 1018 1257 1520 1809 Q= 18" 57 88 127 226 354 509 693 905 1145 1414 1711 2036 20" 63 98 141 251 393 565 770 1005 1272 1571 1901 2262 22" 69 108 156 277 432 622 847 1106 1400 1728 2091 2488 24" 75 118 170 302 471 678 924 1206 1527 1885 2281 2714 26" 82 128 184 327 511 735 1000 1307 1654 2042 2471 2941 28" 88 137 198 352 550 792 1077 1408 1781 2199 2661 3167 3.61 AX Where: A = Cross-sectional area of discharge √ pipe in square inches X = Horizontal distances in inches Y = Vertical distances in inches 30" 94 147 212 377 589 848 1154 1508 1909 2356 2851 3393 32" 100 157 226 402 628 905 1231 1609 2036 2513 3041 3619 34" 107 167 240 427 668 961 1308 1709 2163 2670 3231 3845 36" 113 177 255 453 707 1013 1385 1810 2290 2827 3421 4072 AN APPROXIMATE METHOD OF ESTIMATING DISCHARGE FROM PIPES FLOWING PARTIALLY FULL Rate of flow in gallons per minute Y D 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 4 142 128 112 94 75 55 37 21 8 0 Inside diameter of pipe - “D” in inches 6 8 10 12 334 579 912 1310 302 524 825 1185 264 457 720 1034 222 384 605 868 176 305 480 689 130 226 355 510 88 152 240 345 49 85 134 194 17 30 52 74 0 0 0 0 ESTIMATING FLOW FROM VERTICAL PIPE OR CASING The approximate flow from vertical pipes or casings can be determined by measuring the maximum height(h) in inches to which the water jet rises above the pipe, and inside diameter of the pipe (d) in inches. The flow in gallons per minute is given in the following table for different sizes of standard pipe and for different heights of the water jets. Guide A-104 • Page 2 H D Height (H) NOMINAL DIAMETER (D) OF STANDARD PIPE (INCHES) (Inches) 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 8 9 10 12 14 16 18 20 25 30 35 2 29 32 35 38 41 44 47 49 52 54 57 61 65 69 76 83 89 95 101 113 124 134 3 65 72 77 85 92 98 104 109 115 121 126 135 144 153 169 184 197 209 221 249 273 298 4 113 126 135 149 161 172 182 192 202 211 219 236 251 265 294 319 342 364 386 433 476 516 5 180 202 217 238 252 270 286 301 316 331 345 370 396 418 463 502 540 575 607 680 746 810 6 269 291 311 341 369 396 420 444 469 490 509 548 585 621 685 740 796 845 890 998 1095 1175 7 352 396 425 465 503 540 575 606 638 667 700 751 802 850 933 1020 1090 1160 1225 1375 1505 1630 8 460 517 569 626 687 733 779 825 872 913 949 1025 1091 1150 1259 1360 1454 1542 1626 1818 1991 2151 10 797 898 950 1055 1115 1200 1270 1332 1391 1448 1503 1606 1704 1796 1967 2125 2272 2410 2540 2840 3111 3360 12 1148 1293 1416 1530 1636 1735 1829 1918 2003 2085 2164 2313 2454 2586 2833 3060 3272 3470 3658 4090 4480 4839 14 1583 1760 1928 2083 2227 2362 2489 2611 2727 2838 2945 3149 3340 3520 3856 4165 4453 4723 4979 5566 6098 6586 16 2042 2299 2518 2720 2908 3085 3251 3410 3562 3707 3847 4113 4362 4598 5037 5440 5816 6169 6503 7270 7964 8602 40 144 318 551 865 1270 1745 2299 3592 5173 7041 9196 For other pipe sizes and heights of jets. Use the formulae: Gal. per min. = 5.68 CD2 H Cu. ft. per sec. = 0.0126 CD2 H Where D = inside pipe diameter in inches. H = jet height in inches. C = a constant varying from 0.87 to 0.97 for pipes of 2 to 6 inches in diameter and heights of 6 to 224 inches. Guide A-104 • Page 3 New Mexico State University is an equal opportunity/affirmative action employer and educator. NMSU and the U.S. Department of Agriculture cooperating. Reprinted October 1997 Las Cruces, NM 5C Guide A-104 • Page 4