Some basic pipe
science.
Please note that I am refering to domestic systems
only. The moment you have high density complexes or
buildings the number of waste generating units multiplies and things
get complicated. Dont use these numbers to build a system at
home - they are for comparison only!! Hazen-Williams formula
for full pipe used.
The purpose of this page is to discuss sewer
pipe material and to show the different flow carrying capacities of
sewer lines and the effect of slope or "fall". Fall is critical
because without it the sewerage does not move! Fall also determines
the load carrying capacity of the pipe and the pipes ability to
carry solids. Although not generally used in domestic sewer systems,
I have included 150mm pipe for the sake of comparison.
Material. The most common material used for
domestic sewer pipe is 110mm PVC. This has a number
of advantages over other types - it has a good strength to weight
ratio. It is chemical resistant. It is resistant to fungi and
bacteria. It is easily joined. It comes in 6m lengths so its easier
to lay. Thats the good parts, now for a few negatives - It's not
strong enough in demanding applications. It is vulnerable to impact
damage. It cannot easily be used for slip lining or pipe bursting -
it's too rigid.
Another lesser used pipe is HDPE (High density polyethelyne).
This is a truely remarkable material. It has been used on sewer
systems since the 1940's. It's very strong, flexable, chemical
resistant and resistant to bacteria and fungi. In fact it has all
the attributes of PVC pipe and more. It is however more expensive.
In fact there are only two disadvantages in using this pipe - the
cost and the fact that it's nor generally straight. When it comes to
lining or bursting the cost of the pipe is not important and the
fact that the pipe is set into the old pipe makes it straight. So
there are no real disadvantages.
HDPE pipe is stronger than PVC. It is very
resistant to impact and it can survive ground movement much better
than PVC. It comes in rolls so it can be installed in long
continuous sections. We use HDPE for slip lining/pipe
bursting because its tough, resistant and comes in rolls!
For more info on HDPE pipe used in sewer applications look at the
Plastic Pipe
Institute's PDF document on HDPE for Sanitary Sewers.
Sizing. Lets start with a typical example - a
40m length of 110mm PVC sewerage pipe running at a common slope of 1
in 40 or 2.5%. This means that the pipe drops 1m for every 40m in
length. So the total drop in this example just happens to be
1m. If we feed this length of sewer with as much water as
it can handle (it runs "full pipe") and vary the diameter of
the pipe as follows -
150mm pipe discharges 38.79 litres per second at a
speed of 2.19 m/s
100mm pipe Discharges 13.35 litres per second at a
speed of 1.70 m/s
90mm pipe discharges 10.12 liters per second at a
speed of 1.59 m/s
Okay - you will notice that the 150mm pipe moves
3x more water than a 100mm pipe! Also the 90mm pipe loses 3 l/sec on
the 100mm pipe at a reduced velocity. What is a 90mm pipe you may
ask? Its a 100mm pipe with about 5mm of slip lining inside it. In
other words our 100mm OD slip lined pipe is actually a 90mm
effective diameter pipe. As you can see it does reduce the capacity
slightly - but only at "full pipe" and it's only by three litres per
second!
Now lets play with the slope (or
Fall). The above example was at the common 1:40. Lets
make that 1:60. Remember - the bigger the number - the less the
slope!
150mm pipe discharges 31.15 litres per second at a
speed of 1.76 m/s (about 22% reduction in flow)
100mm pipe Discharges 10.72 litres per second at a
speed of 1.36 m/s (also 22% less - surprise!)
90mm pipe discharges 8.12 liters per second at a
speed of 1.27 m/s (Also 22%)
Our 150mm pipe is still a mover and shaker at
31.15 litres per second. The 110mm pipe lost 3 litres and
the 90mm pipe 2 litres. This shows that the relationship between
flow, speed and slope are tightly related. Change one and the others
change. Remember that a slope of 0 makes the other numbers 0. You
end up with a 40m long tank! This often happens when pipes have to
be re-routed around an obstruction - like a building. The re-routed
sextion ends up with little or no fall and gives trouble for ever
after!
Right - now lets look at a partially obstructed santar
type pipe running at 50% of it's capacity due to partial collapse
and root intrusion -
100mm 50% blocked pipe discharges 5.22 litres
per second at a speed of 1.35 m/s
No surprise here - you halve the pipe
area, you halve the flow. This is commonly found in fibre pitch
(santar) pipe systems. In fact - you are lucky to get 50%. The
calculated speed of 1.35m/s is also very optimistic. Because
of the multiple obstructions in the pipe you are probably never
going to see the water move this fast. The calculation assumes a
clean unobstructed pipe of reduced diameter only.
A quick note on the speeds given here. Speed obviously
refers to how fast the water is going. If it's too slow the solids
will tend to settle out and not move properly. If its too fast the
system will erode. Limits vary from area to area. Commonly .6 m/s
min to 3.6 m/s max.
Why is there an upper limit? If the
material moves too fast is will aerode/brade the pipes and otherwise
stress the system. There may also be problems with the movement of
solids - but I dont buy the idea often mentioned that the water
"leaves the solids behind". Maybe, but I have never seen it :-).
Another factor to consider is the percentage
of the pipe used for normal or average flow. Sewers are not
intended to run "full pipe". When they do it's a pressure system
rather than a gravity system and you pick up problems with venting
and possible overflows. Sewer pipes run best at 80% full - the
maximum velocity occurs at 80% at a very slightly reduced flow. Most
systems are designed to run at around 50-55% full.
This allows for another factor to come into play - two
actually. Infiltration and Inflow.
Infiltration - is water that is in
the ground that finds its way into the pipe through cracks and holes
in the pipe. This is normally not severe in a domestic system but
can add to the load.
Inflow is the discharge of storm/rain
water directly into the sewer pipe. This can be a big problem and
it's prohibited by ALL municipalities for very good reasons.
So what do the above numbers tell
us?
1. 150mm pipe is generally overkill in a domestic
system!
2. A standard 110mm pipe can carry a respectable
amount of water when it's running full.
3. A slight reduction to 90mm (slip lining) does make
a difference but it's not that much.
4. A big reduction like 50% makes a 50% difference to
the flow.
5. 110mm sewer pipe at the correct slope is adequate
to convey the sewerage for up to 20 large houses!
6. Flow speed (m/s) must be within limits.
Contact me if you need more info on this or if you have any
additional info on this type of pipe.
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