Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great BritainFleming, J. A. (John Ambrose), Sir
Science
Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great Britain
Fleming, J. A. (John Ambrose), Sir
Electric waves; Sound; Waves
Over the water-surface is arranged a pair of rails, on which runs a
light carriage or platform. This carriage is drawn along by a rope
attached to a steam-engine, which moves at a very uniform rate, and
its speed can be exactly ascertained and automatically recorded. This
moving carriage has a rod or lever depending from it, to which the
model ship is attached. The pull on this rod is exactly registered on
a moving strip of paper by very delicate recording mechanism. The
experiment is conducted by placing the model at one end of the tank,
and taking a run at known and constant speed to the other end. The
experimentalist is thus able to discover the total resistance which
it is necessary to overcome in pushing the model ship at a certain
known speed through the water. The immersed surface of the model being
measured and the necessary calculations made, he can then deduct from
the total resistance the resistance due to skin friction, and the
residue gives the resistance due to wave-making. Suppose, then, that
the experiment has been performed with a model of a ship yet to be
built, the run being taken at a “corresponding speed.” The observations
will give the wave-making resistance of the model, and from Mr.
Froude’s second law the wave-making resistance of the real ship is
predicted. Adding to this the calculated skin-friction resistance of
the real ship, we have the predetermined actual total ship-resistance
at the stated speed. For the sake of giving precision to these ideas,
it may be well to give an outline of the calculations for a real ship,
as given in a pamphlet by Mr. Archibald Denny.[19]
The tank at the Leven shipyard, constructed by Messrs. Denny Bros.
for their own experiments, is 300 feet long, 22 feet wide, and 10
feet deep, and contains 1500 tons of fresh water. At each end are
two shallower parts which serve as docks for ballasting and trimming
models. As an example of the use of the tank in predicting the power
required to drive a ship of certain design through the water, Mr. A.
Denny gives the following figures: The ship to be built was 240 feet
in length, and from the drawings a model was constructed 12 feet in
length, or one-twentieth the size.
It was then required to predetermine the power required to drive
the ship through the water at a speed of 13¹⁄₂ knots. A knot, be it
remarked, is a speed or velocity of 1 nautical mile an hour, or 6080
feet per hour. It will be seen that this is not far from 100 feet per
minute.
By Froude’s first law, the corresponding speed for the 12-foot model is
therefore—
13¹⁄₂ × 6080/60 × √(12/240) = 306 feet per minute
Public-domain text, read in full here on John Shaqi.
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