Practical Hydraulic Formul for the Distribution of Water Through Long Pipes

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Practical Hydraulic Formul for the Distribution of Water Through Long Pipes
E Sherman Edward Sherman Gould
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29 When the 24-in. Branch was* open, we had a total discharge of 174. 73 cu. Ft. Per second. There is an increase, therefore, of about 9i per cent, by opening the branch. Let us now see what the discharge would be if the branch were placed only 500 ft. From the reservoir, instead of 1, 000 ft. , all the other conditions remaining the same. We will assume h = 33 ft. And solve the two equations / 4X33 if = 149. ; ' i son v n finnfta q = 12. 56 47 = 149. 5 1500 X 0. 00062 / 2 X 29 0. 32 g' =3. 14 ...4 = 42. 3 " 30! (191. 8)* X 0. 31 alSO h' = = 18. 07 (12. 56)* X 4 giving a total height of 51. 07 as against 50. Reducing : h 50 33 51. 07 h. =--32. 3 Using this value, instead of the assumed one, we have : 4X177 4X 32. 3 -j - 28. 3 12. 564 = 12. 564 h 3. 14 4 0. 31 0. 93 0. 32 '189. 83 = 148. 03 + 41. 76 very nearly. As compared with the discharge when the 24-in. Branch is closed this shows a gain of 19 per cent. , just double the gain when the branch was located at the center of the pipe. Supposing now that the branch were placed 1, 500 ft.

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