River and Canal Engineering, the characteristics of open flowing streams, and the principles and methods to be followed in dealing with them. — John Shaqi
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
The effect of bends on the velocity of a stream is not well understood.
In case of a bend of 90° the increased resistance to flow when the bend
is absolutely sudden (a sudden bend is known as an “elbow”) amounts
perhaps to V^2/(2_g_). Whether it is greater or less in the case of
a gentle bend of 90° is not known. In the case of a pipe there is a
certain radius which gives a minimum resistance (_Hydraulics_, CHAP.
V.). The increased resistance at a bend is due partly to the fact that
the maximum velocity is no longer in the centre of the stream, and
partly to the fact that the velocities at the different parts of the
cross-section have to be rearranged at the commencement of the bend and
again at its termination. Thus the effect of a bend of 45° is a good
deal more than half of that of a bend of 90°. Two bends of 45°, both
in the same direction, with a straight reach between them, will cause
more resistance than a single bend of 90° with the straight reach above
or below the bend. If the two bends of 45° are in different directions
the resistance will be still greater. A succession of sharp bends may
produce a serious effect, amounting to an increase in roughness of
the channel. A succession of gentle bends, of any considerable angle,
cannot of course occur within a moderate length of channel.
When there is head to spare there is clearly no objection to bends,
except that the bank may need protection. At a place where the bank has
in any case to be protected, _e.g._ at a weir, there is no objection to
an elbow.
9. =General Tendencies of Streams.=--Since the velocity is greater
as the area of the cross-section is less, a stream always tends
to scour where narrow or shallow, and to silt where wide or deep.
The cross-section thus tends to become uniform in size. Suppose
two cross-sections to be equal in size but different in shape. The
velocities of the two sections will be equal. The tendency of the bed
to silt will (_Art. 6_) be greater at the deeper section and, when
silting has occurred on the bed, the section will be reduced and there
will be a tendency to scour at the sides. Thus the cross-sections tend
to become also uniform in shape. If a bank of silt has formed in a
stream, the tendency is for scour to occur. There is also a tendency
for silt to deposit just below the point where the bank ends. Hence a
silt bank often moves downstream.
Owing to the tendency to scour alongside of, or downstream of,
obstructions (_Art. 1_), it is clear that a stream constantly tends to
destroy obstructions.
There is an obvious tendency for silt to deposit where the bed slope
of a stream flattens, and for scour to take place where it steepens
(_Hydraulics_, figs. 16 and 17, pp. 24 and 25), and thus the tendency
is for the slope to become uniform.
Public-domain text, read in full here on John Shaqi.
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