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Hydrostatics and Pneumatics

Hydrostatics and Pneumatics


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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. 1887 Excerpt: ...pressure on the tube is due, therefore, to the frictional resistance encountered by the liquid; and as the resistance to be overcome at any point of the tube increases with the distance of that point from the orifice, the pressure of the liquid diminishes as it approaches the open end. Let a equal the sectional area of the pipe, and let c be Effect of Friction. 85 the length of an element of liquid occupying it. Let/ be the measure of the frictional resistance per unit of length of pipe, and let p and f be the actual pressures per unit area at either end of the element c. Then if we suppose m to be the mass of this element, and v... tn i) its velocity, which is constant, --represents the 2 energy of this mass at all points in the pipe. Now if the mass m moves through a distance c, the work which it has received is p a x c, and the work which it has given to the liquid in front of it is p' a x c: Hence the resultant work gained in moving through the space c is (p a--p' a) c. But since the energy of the mass remains constant, this amount of work is employed in overcoming the frictional resistance encountered by the liquid in its passage through the pipe. The work done against friction is/ x c; and.-. J--P')ac=fxc; and since j, --f=gd(h--h') where h, A' are the heights of water required to produce the pressures / and respectively, and d is density of the liquid, we have which shows that the difference of pressures (as measured by height of the liquid in pressure-tubes) for equal distances along a pipe of uniform sectional area is constant.' It is to be here observed that whilst the kinetic energy of the flowing water is constant, there is a continual decrease of potential energy much in the same way as when a body slides with a uniform velocity down a rough incl.


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Product Details
  • ISBN-13: 9781130711035
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 42
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 113071103X
  • Publisher Date: 06 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr


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