An Elementary Treatise on Hydromechanics with Numerous Examples

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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. 1889 edition. Excerpt: ... 2 /BM x MC = 2MN; (2) that is, the horizontal range of a liquid issuing horizontally through a very small orifice in the side of a vessel is equal to twice the ordinate at the orifice, in a semicircle whose diameter is the vertical distance from the surface of the liquid to the horizontal plane. Coe.--When the orifice is made at the centre of the side BC, the horizontal range is a maximum, and equal to the height of the liquid above CH; at equal distances above and below the centre, the range will be the same. 78. Time of Discharge from a Cylindrical Vessel when the Height is Constant.--When a cylindrical vessel is kept constantly full, it is required to determine the time in which a quantity of liquid equal in volume to the cylinder will flow through a small orifice in its base. Let h be the height of the surface, K the area of the base of the vessel, and k of the orifice, V the velocity of descent of the surface of the liquid, and v the velocity of efflux at the orifice, and t the time necessary to discharge a volume of liquid equal to that of the cylinder, which remains constantly full. Then the quantity of liquid which flows through the orifice in the unit of time is k V2gh; and since the velocity of the surface is V, the quantity of liquid which passes through the orifice in the unit of time must equal VK. Hence we have VK=kV2gh 142 TIME OF EMPTYING ANY VESSEL..-. r= V2gh; (-) and as the vessel is kept constantly full, we have v kVZgh kVtyh' where Q denotes the whole quantity of liquid in the vessel. Cor.--If the liquid be kept at a height /' in a second vessel, containing a quantity Q', which flows through an orifice k', in the time t, we have from (1) (2) kWzgti and from (1) and (2) we have Q: Q':: kVh: k' /F. Hence, the..show more

Product details

• Paperback | 70 pages
• 189 x 246 x 4mm | 141g
• Miami Fl, United States
• English
• black & white illustrations
• 123651923X
• 9781236519238