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I see what you mean, however I still feel the analogy is misleading. A bucket is driven by gravity, so the higher the water level, the higher the flow rate. Also with a bucket the input and output don't have to match.I wasn't saying a boiler is like a bucket, I was pointing out a simple analogy that if something restricts a flow rate e.g. a hole in a bucket, then it doesn't matter what rate you put in at, it will always be limited by the restriction.
With a boiler the input and output match exactly.
Just simply say it's like a tap that's turned on half way. The water in and out are the same, but if you tee off before the tap you'll get a better flow rate than teeing off after.