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
In close connection with this subject is the fine investigation made
about the year 1834 by another eminent engineer, Mr. Scott Russell,
on the motion of canal-boats. His researches were communicated to
the Royal Society of Edinburgh. It has already been explained that
when a wave is started in a canal, the wave-length being large
compared with the depth of the canal, then the velocity of the long
wave is the same as that attained by a stone in falling through air a
distance equal to half the depth of the canal. Scott Russell made the
interesting discovery that it is only when the speed of a canal-boat
is _less_ than that of a long wave in the canal that the boat leaves
behind it a procession of waves. The position of the boat is then on
the rearward side of the first wave. As already mentioned, the boat
leaves behind it a trail of waves, and the rear of this procession
travels forward at half the speed of the boat. If the speed of the
boat is greater than that of the longest free wave in that canal, it
cannot make any procession of waves, and then there would be no system
of ever-lengthening waves behind it, but only one wave or hummock
travelling along under the boat. Lord Kelvin describes, in his lecture
on “Ship Waves,”[21] how this important discovery was in fact made by
a horse. The horse belonged to one William Houston, and its daily duty
was to drag a canal-boat on the Glasgow and Ardrossan Canal. On one
occasion the horse took fright and galloped off, and Houston, being
an observant man, noticed that when once the horse had attained a
certain speed the tractive resistance evidently became lessened, and
the boat was dragged along more easily and without _wash_ behind it.
Accordingly, he started a system of light canal-boats—or _fly-boats_,
as they were called—each 60 feet long, and drawn by two horses at 7, 8,
or 9 miles an hour. The horses were whipped up and made to gallop, and
soon dragged the boat up on to the top of its own wave, whereupon it
went along much more easily, and without a system of stern waves.
Mr. Scott Russell instituted a searching investigation into this effect
in 1837 at the bridge of Hermiston, on the Forth and Clyde Canal, at
a place where there was a straight run of 1500 feet. The depth of
the canal water was 4 to 5 feet, and the speed of the long wave was
accordingly 12 feet per second, or 8 miles an hour.
Experiments were made, amongst others, with a boat called _Raith_, the
weight of which was 10,239 lbs., or 5 tons. This boat was towed along
the canal, and the “pull” on the tow-rope measured by means of an
instrument called a dynamometer. It was found by Mr. Scott Russell that
the pull or force required to drag the boat did not increase with the
speed regularly, but fell off in a marked manner when the speed of the
boat reached 9 miles per hour. This is shown by the following table:—
SCOTT RUSSELL’S EXPERIMENTS ON CANAL-BOATS.
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