For mechanicing call Dave, for hydraulic engineering call me.
How about you check your numbers Dave
300m x dripline @ 0.6m spacings = 500 drip emitters
500 emitters X 1.6l/hr = 800l/hr
800l/hr / 60(min) = 13.33l/min. TOTAL FLOW
Head loss is calculated for the longest run of pipe only. The shorter runs need less pressure.
Longest run = (35m x 25poly supply line) + (170m x 17mm dripline - 284 drip emitters @ 1.6l/hr = 455l/hr = 7.6l/min
The loss in 35m of 25 poly at a flow rate of 7.6l/min (0.126l/sec) is SFA. (My head loss curves are at work, but it is neglible).
25 poly is good for 45l/min (0.75l/sec). More than that and the velocity exceeds 1.5m/sec and the head losses become a J curve.
19mm poly (i realize 17mm is being used) is good for 20l/min or 0.333l/sec ... our flow into the 17mm poly is only 7.6l/min, and every 0.6m we take out 0.0256l/min, and the flow (& velocity & loss) in the next 0.6m drops ... and every 0.6m ... the loss in the drip line for this installation is negligible.
... so without splitting hairs

add 1m head required.
110kpa = 16psi + 1.4psi head loss (1m) and we want 17.4psi ... don't dick around, call it 20psi.
So our head required is 20psi - 14.1m - 138kpa
Our total flow is 13.33l/min.
You need a pump that can deliver AT or BETTER than 13.33l/min at 20psi ...
This all assumes a flat ground delivery ... if you need to raise the water thru 4m to clear the highest point in the system, ADD 4m to my workings ... deduct if your going down hill lower than the pump.
1psi = 2.31ft
1m = 3.28ft
1psi=6.895kpa
You can do the math.
... PLUS your suction losses on the pump need to be added to the above calc's ... it will have a loss at flow that needs to be overcome (but I'm guessing your using a submersible pump by the flow rates/heads you're quoting ... right ? They don't develop the head required for your application. small/medium subs 150-400l/min are usually shut head (no flow) of around 8 to 12m (17psi and NO FLOW) ... they are designed to move big volumes of water quickly over small heads ... for dewatering.)
So if it is a sub .... and your pipe runs quoted are correct ... this is the calculated INPUT your system needs to work ....
15l/min @ 20psi - 15l/min @ 11m - 15l/min @ 138kpa .... or BETTER. Always choose a slightly bigger than required pump.
Nuff now.
Kev..
... sorry, just to add. The reason you existing pump won't do the job is it cannot overcome the inherent losses in the system it's connected to. Those flow/pressure figures you quote are probably maximums ... ie:max' flow & max' pressure ... you can have one or the other but NEVER both at the same time ....
Nobody makes pumps for this type of application, and subs are cheap, so that's what gets used, but I bet your 9m pump has ZERO flow AT 9m head ... got a pump curve for it ?
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