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If you have a combination or series of pumps delivering into a common system, you can use simultaneous equations to sort out which pump is delivering what. For example three of Type A and 2 of Type B deliver 280 litres \ minute and one of Type A and four of Type B deliver 260 litres \ minute. You can work out pretty well what each pump is delivering in to the system and then from that work out the cost per litre delivered if power consumption for each pump type is monitored.

From that, you can do a few "what if's" and then go out again and check to see. It saved me demounting all the pumps and fitting flow meters everywhere. Just plumbed in one flow meter and changed pump combinations to see the effect on overall flow between a couple of system set points we had established. Yes, the manufacturers give data, but often this is one pump into it's own system, rather than mix and match.

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Q: Where you can apply simultaneous equation in an engineering situation?
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