Umbilical manure application has become a go-to option for
moving large volumes of manure efficiently while keeping heavy tanks out of the
field. But with long hose runs, connections, and high pressures, failures can
and do happen. One of the more concerning scenarios is a hose rupture or leak
near a stream or drainageway.
Where we place the booster pump relative to that stream can
make a big difference in how much manure is released if a failure occurs, and
whether that release becomes an environmental incident or not. Hopefully you’ve
heard the best management practice is to place the booster pump across the
stream so the pressure is lower in the hose as it crosses the stream, but why?
The Scenario
Imagine an umbilical system crossing a small stream.
Somewhere near the stream crossing, the hose develops a hole. This could be
from abrasion, a weak spot, damage during setup, or even normal wear. The key
question is:
·
Is that section of hose under high pressure or
low pressure when the failure occurs?
That depends entirely on where the booster pump is located.
Two Booster Pump Options
Option 1: Booster pump on the near side of the stream
·
Pump → high-pressure hose → stream crossing →
toolbar
Option 2: Booster pump on the far side of the stream
·
Pump → high-pressure hose → toolbar
·
Stream crossing is on the suction / low-pressure
side of the booster
Why Pressure Matters When a Hose Leaks
The flow rate through a hole is directly related to
pressure. For a small hole or tear, the leak rate is approximately:
Where:
QL is the leak flow rate
Cd is the discharge coefficient (typically 0.6 to
0.7 for sharp-edged holes, which we will assume (thought it does mean there is
enough pressure to keep the hose rigid, which may not actually be the case
AL is the area of the leak (the cross sectional
area of the hole)
Delta p is the pressure difference inside the pipe
versus outside, which I’m being lazy and assuming doesn’t chance from the
pre-leak conditions compared to when the leak starts (it does change and the
pressure will go done, but how much depends on the relative resistances and
gets a bit more math heavy then we need).
Rho is the density of the fluid
That square-root relationship is important. If pressure
increases by a factor of four, the leak rate roughly doubles, and that is the
basis of the recommendation. By controlling the location of the booster pump,
we are controlling the pressure should a leak occur in the worst possible
location, the hose in the stream.
A Simple Pressure Comparison
Let’s put some reasonable numbers to this.
Typical umbilical operating pressure downstream of a booster
pump: 120 psi
Pressure upstream (suction side) of a booster pump: 30 psi
Let’s assume a 1” diameter hole, that manure has the same
density of water, and we’ll set Cd = 0.65.
Option 1
Option 2
All that to say, by quadrupling the pressure (120 psi vs 30
psi) we doubled the rate of leakage (212 gpm vs 106 gpm).
Why the Stream Crossing Should Be Low Pressure
Placing the booster pump across the stream ensures that the
hose segment near the waterway is operating at the lowest pressure in the
system. That does three important things:
·
Reduces leak flow rate if damage occurs
·
Buys response time to shut down the system
·
Limits environmental consequences if manure
reaches the stream
This is a classic example of risk-based design: assuming
failure can happen and designing the system so that when it does, the
consequences are minimized.
Positioning booster pumps so that environmentally sensitive
areas, streams, ditches, intakes, and tile outlets, are exposed to as low-pressure
hose as practically possible.
Practical Takeaways for Applicators
·
Always identify stream crossings during hose
layout
·
Place booster pumps after the stream crossing,
not before to minimize risk should a break occur.
We can’t prevent every spill, but we can manage to minimize
their occurrence and any negative environmental impact they may have.


