. Spons' dictionary of engineering, civil, mechanical, military, and naval; with technical terms in French, German, Italian, and Spanish . e ice being in contact with theupper surface of the water, so that as the water descends throughan orifice in the bottom of the vessel, of which L M representsthe diameter, the ice shall dissolve and constantly supply thedeficit. If we take E F to represent the line of surface at anyvariable distance B E, which line of surface had been origin-ally at B C, it will be evident that the quantity of water runout at the orifice during the descent from B C to E F
. Spons' dictionary of engineering, civil, mechanical, military, and naval; with technical terms in French, German, Italian, and Spanish . e ice being in contact with theupper surface of the water, so that as the water descends throughan orifice in the bottom of the vessel, of which L M representsthe diameter, the ice shall dissolve and constantly supply thedeficit. If we take E F to represent the line of surface at anyvariable distance B E, which line of surface had been origin-ally at B C, it will be evident that the quantity of water runout at the orifice during the descent from B C to E F will berepresented by E B C F. Take U to represent the quantityof water contained in the vessel, m the area of the circularsurface at B C, and m the area of the circular orifice ofwhich L M is the diameter ; then as the velocities of equalquantities of water through diflerent openings during the sametime are inversely as the areas of the openings taking V torepresent the velocity at the orifice and V the velocity atthe surface B C, we have Y . Y .. m : m. Take x equal A Bthe height of the fluid, and a + x the height due to the velocity at the orifice, V^ : V^ a + X : —¿ (jic -f-j;), which represents the height due 5 u 2 1764 GÜNNEEY. to the velocity at B 0 ; therefore, while a + x represents the height due to the velocity at the orifice,—^(a + x) will represent the height due to the velocity at the surface. Diiferentiating both these expressions, we have d x and —^dx. Assuming the differential of the height due to the mean velocity of the fluid as equal to the difference of the above differentials, we have d x ^ d x to represent the differential of the height due to the mean velocity of the descending fluid ; there- fore d .JJ-- X dx> d. mdX ^—, also V = lì v represents the mean velocity m with which the water descends, the momentum of pressure upon the base may be expressed by TJ. v according to conventional rule, mx evidently expresses the quantity o
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Keywords: ., bookcentury1800, bookdecade1870, bookidsp, booksubjectengineering
