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Thanks for responding and your time, but this is where it gets difficult for me to understand. How did you calculate the temperature rise, as this seems the key to solving this so I can find the needed area. As I understand, the 5kW pump adds heat to the circuit continuously, this is the exact...

@LittleInch, but how do you know the delta T. And how would you know a cooling coil is better, as there is much more area around the pipe? Sorry I meant Polyethelene but cannot change OP, I got no other info about the specs as what I stated, so I guess ill google them, probably does not deviate...

There is around 30m of pipe and a 6m3 barrel in which the flow is circulated, the 5kW is the max output of the pump at the calculated resistance/flow. There are all kinds of valves etc. in between. I was hoping to cool the system over a part of L=3m straight piping with D=200mm (HDPE: PE100...

Thank you for confirmation all.

My bad, accidentally used m3/min instead of sec. Q=mcdT=0.83*4200*10=34.8kW? But how is there no area/length involved.

I have a closed circuit with polyester pipes, which circulates water at room temperature (~20deg C). To circulate this water a pump is used that uses 5kW. The flow rate of the pump is around 0.208m3/s. The amount of water in the circuit is around 7m3. The circuit has pipes with a diameter of...

The vacuum is to deaerate the system and to control the 'atmospheric' pressure there. Discharge is well under water.

I'm a little confused about the static height in a closed system. For an assignment we have to calculate the pump head for a closed system, but everywhere I read I see that static head for closed system is 0. Normally you would take into account the difference between the gauges/manometers to...