I think the water flow analogy is viable if you are careful what you mean by current.
If we treat voltage as water pressure, then current is the rate of flow. This isn't the speed at which the water is moving, but the rate at which it is delivered (e.g. 1000 litres/minute).
Unless I'm mistaken, the power transferred is now (voltage x current) as required. A turbine in the water flow could deliver the same power if driven by a high flow at low pressure or a low flow at high pressure.
A resistance is something that constricts the flow. For a given resistance, increasing the voltage (pressure) increases the current.
With a bit of ingenuity it's possible to produce water-flow equivalents for many electrical devices. For instance a transformer is equivalent to a turbine connected to a pump (though this analogy doesn't really work if you try to consider the distinction between AC and DC current).
Hi, A book I believe to be a seminal work, Introduction to VLSI systems by Mead & Conway has a section ch. 1.15 on 'A fluid model for visualizing MOS transistor behaviour'. Best Wishes, Colin Fox. Jersey.
