Scientific American Supplement, No. 841, February 13, 1892Various
Science
Scientific American Supplement, No. 841, February 13, 1892
Various
Science -- Periodicals
The most practical, theory-despising among them must for the nonce
become a theorist, and argue from the known to the unknown; and,
first, the practical man will turn--secretly perhaps, but wisely--to
the invaluable experiments and laws laid down so clearly by the late
Mr. Froude. Although primarily designed to assist the Admiralty in
arguing from the resistance of a model to that of the full size
vessel, the practical man need not thereby despise Froude's laws, as
he is able to choose his mode: to any scale he likes, and he can take
his experiments ready made by practice on a large scale, as Newton
took the phenomena of astronomy for the illustration of the mechanical
laws. Suppose then he takes the City of Paris as his model, 560 ft. by
63 ft., in round numbers 10,000 tons displacement, and 20,000 horse
power, for a speed of 20 knots, with a coal capacity of 2,000 tons,
sufficient, with contingencies, for a voyage of six to eight days. Or
we may take a later 20 knot vessel, the Furst Bismarck, 500 ft. by
50ft., 8,000 tons, and 16,000 horse power, speed 20 knots, and coal
capacity 2,700 tons, to allow for the entire length of voyage to
Germany.
In Froude's method of comparison the laws of mechanical similitude are
preserved if we make the displacements of the model and of its copy in
the ratio of the sixth power of the speeds designed, or the length as
the square of the speed. Our new 24 knot vessel, taking the City of
Paris as a model, would therefore have 10,000 (24 / 20)^{6} = 29,860,
say 30,000 tons displacement, and would be 800 ft. x 90 ft. in
dimensions. The horse power would have to be as the _seventh_ power of
the speed, and our vessel would therefore have 20,000 (24 / 20)^{7},
or say 72,000 horse power. Further applications of Froude's laws of
similitude will show that the steam pressure and piston speed would
have to be raised 20 per cent., while the revolutions were discounted
20 per cent., supposing the engines and propellers to be increased in
size to scale. To provide the requisite enormous boiler power, all
geometrical scale would disappear; but it would carry us too far at
present to follow up this interesting comparison.
Public-domain text, read in full here on John Shaqi.
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