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Sewage generation collection and conveyance

Q) A 30 cm diameter sewer having an invert slope of 1.200 was flowing hill. What would be velocity of flow and discharge ?(n=0.013). Is the velocity self cleaning? What would be the velocity and discharge when the same is flowing 0.2 and 0.8 of its full depth?

Proportionate depth (d/D) Proportionate Velocity (v/V) Proportionate Discharge (q/Q)
0.2 0.615 0.088
0.4 0.902 0.3364
0.6 1.072 0.6711
0.8 1.140 0.9781

1 Answer
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Given:

n=0.013

d=30cm

s=1200

To find:

1. Velocity self cleansing:-

Q=1nAR23s12=10.013(π4(0.3)2)(1200)12

=76.92(0.071)0.1760.071=0.067cumsec

Velocity=QA=0.067π4(0.3)2=0.0670.071=0.94m/sec

assumeqQ=0.333

From given table:-

vV=0.898

v=0.898v

=0.8980.94

=0.844m/sec>0.45m/sec

This is greater than self cleansing of 0.45m/sec


2. Velocity and discharge when the flawing with 0.2 and 0.8 of its full length:-

for, dD=0.2

Vv=0.615

V=0.6150.94=0.5781m/sec=0.58m/sec

similarly, for dD=0.2

qQ=0.088

q=0.0880.067

q=0.0059cumecs

dD=0.8

vV=1.140

V=1.1400.94

=1.0716m/sec

V=1.072m/sec

qQ=0.9781

q=0.97810.067

q=0.066cumecs

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