This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1912 Excerpt: ...Hl+fg = H2+fg or, the piezometer elevation for ai plus the velocity-head is equal to the sum of the corresponding quantities for any other section. The above theorem belongs to theoretical hydraulics, in which frictional resistances are not considered. Under actual conditions there is always a loss of energy or head, ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1912 Excerpt: ...Hl+fg = H2+fg or, the piezometer elevation for ai plus the velocity-head is equal to the sum of the corresponding quantities for any other section. The above theorem belongs to theoretical hydraulics, in which frictional resistances are not considered. Under actual conditions there is always a loss of energy or head, so that when water flows from ax to h, the first member of the above equation is larger than the second. Let Wh' be the loss in energy, then this is equal to the difference of the energies in ai and a2 with respect to the datum plane, or, v v, h'=Hi--H2++--that is, the lost head is equal to the difference in level of the water surfaces in the piezometer tubes plus the differences of the velocity-heads. The most common case is when the pipe is of uniform size throughout, or cti = a2, then Vi and v2 are equal because the flow is steady. The head lost in friction between any two sections is then simply, h'=Hi-H2 so that it is only necessary to ascertain the difference of elevation of the water in the piezometers by running a line of levels in order to determine the head lost in friction in the pipe between them. Prob. 37 A. The water level in the piezometer at ai is 67.329 feet above a certain bench mark and that in the piezometer at a2 63.791 feet above the same bench mark. The pipe being of uniform size, what is the loss of head in friction between the two sections? Prob. 37 B, What is the loss of head for the above data when the section ii is 12 inches in diameter and that at 02 is 9 inches in diameter, the discharge being 2.7 cubic feet per second? Art. 38. The Hydraulic Gradient The hydraulic gradient is a line which connects the water levels in piezometers placed at intervals along the pipe; or rather, it is the line to which the water level...
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