"In a pure resistance the relationship between voltage and current is linear and constant at a constant temperature, such that the current ( i ) is proportional to the potential difference V times the constant of proportionality 1/R giving i = (1/R) x V. Then the current through the resistor is a function of the applied voltage and we can demonstrate this visually using an I-V characteristics curve.
In this simple example, the current i against the potential difference V, is a straight line with constant slope 1/R as the relation is linear and ohmic. However, practical resistors may exhibit non-linear behaviour under certain conditions for example, when exposed to high temperatures."
1W is equal to 0.5W? Huh? I'd like to see the physics that supports that assertion.
Even those these fans are all from the same model could it be that the actual control circuits and motors are slightly different because they're working with different input voltages? If they were to use the same, exact coil circuitry (as to inductors/capacitors/resistance in the models with different input voltages the inductor charging/discharging curves would be different at the different input voltages.
I x V = P
Current Times Voltage equals Watts.
So 1Amp times 12 volts = 12 Watts
So .5Amp times 24 volts = 12Watts
The characteristics of the fan windings and other nuance is the variation in fan speed at the difference in watts used at X volts, it may have been engineered to perform better due to a higher magnetic flux with a specific voltage(24V), but there will be a curve for each voltage applied, and since its a PWM driven fan unless its driven at 100% duty cycle the apparent voltage is variable making the discussion between voltages moot. The table you put together shows virtually the same watts used at each voltage.