Sewerage and Sewage TreatmentBabbitt, Harold E. (Harold Eaton)
History
Sewerage and Sewage Treatment
Babbitt, Harold E. (Harold Eaton)
Sewage disposal; Sewerage
As an example of the reverse process let it be required to find
the velocity of flow in an egg-shaped sewer flowing full and
equivalent to a 48–inch circular sewer. Both sewers are on a slope
of 0.005 and have a roughness coefficient of _n_ = .015. It is
first necessary to find the quantity of flow in the circular
sewer, which by definition is the quantity of flow in the
equivalent egg-shaped sewer. The velocity of flow in the
egg-shaped sewer is found by dividing this quantity by the area of
the egg-shaped section. As read from the diagram the quantity of
flow is 90 cubic feet per second. From Table 18 the area of the
egg-shaped sewer is 0.51_D_^2 where _D_ is the diameter of the
egg-shaped sewer, and _D_ = 1.295_d_ where _d_ is the diameter of
the equivalent circular sewer. Therefore the area equals (0.51) ×
(1.295 × 4)^2 = 13.5 square feet and the velocity of flow is
90⁄13.5 = 6.7 feet per second. This is slightly less than the
velocity in the circular section.
Some lines for egg-shaped sewers have been shown on Fig. 17 by which
solutions can be made directly. For other shapes, and for sizes of
egg-shaped sewers not found on Fig. 17 the preceding method or the
original formula must be used for solution. Problems in partial flow in
special sections are solved similarly to partial flow in circular
sections, by converting first to the conditions of full flow or by
working in the opposite direction.
=40. Non-uniform Flow.=—In the preceding articles it is assumed that the
mean velocity and the rate of flow past all sections are constant. This
condition is known as steady, uniform flow. In this article it will be
assumed that conditions of steady non-uniform flow exist, that is, the
rate of flow past all sections is constant, but the velocity of flow
past these sections is different for different sections. Under such
conditions the surface of the stream is not parallel to the invert of
the channel. If the velocity of flow is increasing down stream the
surface curve is known as the drop-down curve. If the velocity of flow
is decreasing down stream the surface curve is known as the backwater
curve. The hydraulic jump represents a condition of non-uniform flow in
which the velocity of flow decreases down stream in such a manner that
the surface of the stream stands normal to the invert of the channel at
the point where the change in velocity occurs. Above and below this
point conditions of uniform flow may exist.
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