River and Canal Engineering, the characteristics of open flowing streams, and the principles and methods to be followed in dealing with them.Bellasis, E. S. (Edward Skelton)
Science
River and Canal Engineering, the characteristics of open flowing streams, and the principles and methods to be followed in dealing with them.
Bellasis, E. S. (Edward Skelton)
Canals; Hydraulic engineering; Rivers
3. =Materials carried in Suspension.=--It has long been known that
the scouring and transporting power of a stream increases with its
velocity. Observations made by Kennedy have shown that its power to
carry silt decreases as the depth of water increases (_Min. Proc. Inst.
C.E._, vol. cxix.). The power is probably derived from the eddies which
are produced at the bed. Every suspended particle tends to sink, if its
specific gravity is greater than unity. It is prevented from sinking by
the upward components of the eddies. If V is the velocity of the stream
and D its depth, the force exerted by the eddies generated on 1 square
foot of the bed is greater as the velocity is greater, and is probably
as V^2 or thereabouts. But, given the charge of silt, the weight of
silt in a vertical column of water whose base is 1 square foot is as D.
Therefore the power of a stream to support silt is as V^2 and inversely
as D. The silt charge which a stream of depth D can carry is as V^{½}.
V is called the “critical velocity” for that depth, and is designated
as V_{0}.
The full charge must be affected by the nature of the silt. The
specific gravity of fine mud is not much greater than that of water,
while that of sand is about 1·5 times as great. Moreover, the particles
of sand are far larger than the particles of mud. If two streams of
equal depths and velocities are fully charged, one with particles of
mud and the other with particles of sand, the latter will sink more
rapidly and will have to be more frequently thrown up. They will be
fewer in number. From some observations referred to by Kennedy (_Punjab
Irrigation Paper_, No. 9, “Silt and Scour in the Sirhind Canal,” 1904),
it appears that in a fully charged stream which carried 1/3300 of
its volume of a mixture of mud and sand of various grades, sand of a
particular degree of coarseness formed only 1/35,000 of the volume of
the water, but that when the same stream was clear and was turned on to
a bed of the coarse sand it took up 1/15,000 of its volume. It would
thus appear that the full charge of silt is less as its coarseness and
heaviness are greater. This is in accordance with the laws mentioned
above (_Art. 2_, par. 1). See also CHAP. V., _Art. 2_, last paragraph.
It is probable that fine mud is carried almost equally into all
parts of the stream, whereas sand is nearly always found in greater
proportion near the bed and, as before remarked, some materials may
be rolled and suspended alternately. The charge of mixed silt which a
stream can carry is, no doubt, something between the charge which it
can carry of each kind separately, but the laws of this part of the
subject are not yet fully known. From the observations above referred
to, Kennedy concludes that a canal with velocity V_{0} will carry in
suspension 1/3300 to 1/5000 of its volume of silt, according as it is
charged with sand of all classes or only with the heavier classes.
Public-domain text, read in full here on John Shaqi.
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