Question

Water flows through a cast iron pipe at a velocity of 4.2 m/s. The pipe is 400 m long and has a diameter of 150 mm. The friction factor is 0.00593. Determine the Reynolds number and head loss due to friction.

Answer 1

Re = 70 49 49.49 LOSS Head due to freetion is given by. hf - f Luz 220 fp = (0.00593) (400 m ) (4.2015) 2 (9.81 mis?) (0.150m ) hf= 14.217 m

TABLE A-3 Properties of saturated water Specific Heat CpJ/kg. K Liquid Vapor Enthalpy of Vaporization hy kJ/kg Temp. T.C 0.01 5 10 15 20 Saturation Pressure Po kPa 0.6113 0.8721 1.2276 1.7051 2.339 2501 2490 2478 2466 2454 4217 4205 4194 4186 4182 1854 1857 1862 1863 1867 998.0 25 30 35 40 45 Density p. kg/m Liquid Vapor 999.8 0.0048 999.9 0.0068 999.7 0.0094 999.1 0.0128 0.0173 997.0 0.0231 996.0 0.0304 994.0 0.0397 992.1 0.0512 990.1 0.0655 988.1 0.0831 985.2 0.1045 983.3 0.1304 980.4 0.1614 977.5 0.1983 2442 2431 2419 2407 2395 4180 4178 4178 4179 4180 3.169 4.246 5.628 7.384 9.593 12.35 15.76 19.94 25.03 31.19 1870 1875 1880 1885 1892 50 55 60 65 70 2383 2371 2359 2346 2334 4181 4183 4185 4187 4190 1900 1908 1916 1926 1936 4193 4197 75 80 85 90 95 0.2421 0.2935 0.3536 0.4235 0.5045 2321 2309 2296 2283 2270 4201 4206 4212 1948 1962 1977 1993 2010 38.58 47.39 57.83 70.14 84.55 101.33 143.27 198.53 270.1 361.3 974.7 971.8 968.1 965.3 961.5 957.9 950.6 943.4 934.6 921.7 Thermal Volume Prandt Conductivity Dynamic Viscosity Number Expansion k, W/ mK Coefficient 1. kg/m . s Pr B. 1/K Liquid Vapor Liquid Vapor Liquid Vapor Liquid 0.561 0.0171 1.792 x 10-3 0.922 x 10-5 13.5 1.00 -0.068 x 10-2 0.571 0.0173 1.519 x 10 0.934 x 10-5 11.2 1.00 0.015 x 10-> 0.580 0.0176 1.307 x 10-3 0.946 x 10-5 9.45 1.00 0.733 x 10-> 0.589 0.0179 1.138 x 10 0.959 x 10-5 8.09 1.00 0.138 x 10- 0.598 0.0182 1.002 x 10-3 0.973 x 10-5 7.01 1.00 0.195 X 10-3 0.607 0.0186 0.891 x 10-3 0.987 x 10-5 6.14 1.00 0.247 x 10-3 0.615 0.0189 0.798 x 10-2 1.001 x 10-5 5.42 1.00 0.294 x 10-3 0.623 0.0192 0.720 x 10-3 1.016 x 10-5 4.83 1.00 0.337 x 10-3 0.631 0.0196 0.653 x 10-3 1.031 x 10-5 4.32 1.00 0.377 x 10-3 0.637 0.0200 0.596 x 10-3 1.046 x 10-5 3.91 1.00 0.415 x 10-3 0.644 0.0204 0.547 x 10-3 1.062 x 10-5 3.55 1.00 0.451 x 10-> 0.649 0.0208 0.504 x 10-3 1.077 x 10-5 3.25 1.00 0.484 x 10-3 0.654 0.0212 0.467 x 10-3 1.093 x 10-5 2.99 1.00 0.517 x 10-3 0.659 0.0216 0.433 x 10-3 1.110 x 10-5 2.75 1.00 0.548 x 10- 0.663 0.0221 0.404 x 10-3 1.126 x 10-5 2.55 1.00 0.578 x 10-3 0.667 0.0225 0.378 x 10 1.142 x 10-5 2.38 1.00 0.607 x 10- 0.670 0.0230 0.355 x 10 1.159 X 10-5 2.22 1.00 0.653 x 10-3 0.673 0.0235 0.333 x 10-3 1.176 x 10-5 2.08 1.00 0.670 x 10-3 0.675 0.0240 0.315 x 10-3 1.193 x 10-5 1.96 1.00 0.702 x 10-2 0.677 0.0246 0.297 x 10-3 1.210 x 10-5 1.85 1.00 0.716 x 10-3 0.679 0.0251 0.282 x 10-3 1.227 x 10-5 1.75 1.00 0.750 x 10-3 0.682 0.0262 0.255 x 10-3 1.261 x 10-5 1.58 1.00 0.798 x 10-3 0.683 0.0275 0.232 x 10-3 1.296 x 10-5 1.44 1.00 0.858 x 10-3 0.684 0.0288 0.213 x 10-3 1.330 x 10-5 1.33 1.01 0.913 x 10-> 0.683 0.0301 0.197 x 10-3 1.365 x 10-5 1.24 1.02 0.970 x 10-> 0.682 0.0316 0.183 x 10-3 1.399 x 10-5 1.16 1.02 1.025 x 10-3 0.680 0.0331 0.170 10-3 1.434 x 10-5 1.09 1.05 1.145 x 10-3 0.677 0.0347 0.160 0.160 x 10-3 1.468 x 10-5 1.03 1.05 1.178 x 10-3 0.673 0.0364 0.150 x 10-3 1.502 x 10-5 0.983 1.07 1.210 x 10-3 0.669 0.0382 0.142 x 10-3 1.537 x 10-5 0.947 1.09 1.280 x 10-3 0.663 0.0401 0.134 x 10 1.571 x 10-5 0.910 1.11 1.350 x 10-3 0.650 0.0442 0.122 x 10-3 1.641 x 10-5 0.865 1.15 1.520 x 10-3 0.632 0.0487 0.111 x 10-3 1.712 x 10-5 0.836 1.24 1.720 x 10-3 0.609 0.0540 0.102 x 10-2 1.788 x 10-5 0.832 1.35 2.000 x 10-3 0.581 0.094 x 10-3 1.870 x 10-5 0.854 1.49 2.380 x 10-3 0.548 0.0695 0.086 x 10-3 1.965 x 10-5 0.902 1.69 2.950 x 10-2 0.509 0.0836 0.078 x 10-3 2.084 x 10-5 1.00 1.97 0.469 0.110 0.070 x 10-3 2.255 x 10-5 1.23 2.43 0.427 0.178 0.060 X 10-3 2.571 x 10-5 2.06 3.73 0.043 x 10-3 4.313 x 10-5 100 110 120 130 140 0.5978 0.8263 1.121 1.496 1.965 2257 2230 2203 2174 2145 4217 4229 4244 2029 2071 2120 2177 2244 4263 4286 150 160 170 180 190 475.8 617.8 791.7 1,002.1 1,254.4 916.6 907.4 897.7 887.3 876.4 2.546 3.256 4.119 5.153 6.388 2114 2083 2050 2015 1979 4311 4340 4370 4410 4460 2314 2420 2490 2590 2710 200 220 240 260 280 864.3 840.3 813.7 783.7 750.8 7.852 11.60 16.73 23.69 33.15 1941 1859 1767 1663 1544 4500 4610 4760 4970 5280 2840 3110 3520 4070 4835 0.0605 1,553.8 2,318 3,344 4,688 6,412 8,581 11,274 14,586 18,651 22,090 300 320 340 360 374.14 713.8 667.1 610.5 528.3 317.0 46.15 64.57 92.62 144.0 317.0 1405 1239 1028 720 0 5750 5980 6540 7900 8240 11,870 14,690 25,800