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Flowrate is the only measurement you need to worry about since it is what does the cooling. Whatever pressure the water is at, is completely unimportant.
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What flow rating is to be considered when purchasing a pump then? 0head flow (since pressure doesn't matter? That's a big step backwards as this number has little to do with real world performance. Flow and Pressure are intrinsically related (by a pump's P-Q curve) and this curve characterizes the pump's performance, To design a system to achieve a certain flow rate requires one to know the total resistance of the loop (the sum of each resistance). Then one can choose the pump to meet the design specs considering other concerns as well (heat added, size, noise, cost, availability).
I think that 2x flow means 4x pressure is a bit misleading as they should be related (roughly) by P = Q^2?