
 Originally Posted by 
JDNSW
					 
				 
				Aerodynamic drag increases as the square of the speed, so fuel consumption increases as the square of the speed (once above the speed where aerodynamic drag represents most of the drag, typically above about 60kph).  But this increase is relative to time, and we are interested in fuel consumption per kilometre. Since the time taken is inversely proportional to the speed, the fuel consumption per kilometre is linearly proportional to speed.
Specific fuel consumption of an engine is the fuel per unit time per unit power, and for diesel engines or indeed for modern petrol engines is fairly constant in the range of powers typically used on the highway, and also fairly constant for different rpm (all within the sort of speeds we are talking about). 
While higher rpm typically involves increased losses from 'pumping' and aerodynamic losses within the engine, since the engine is producing more power, the percentage loss is usually much the same, or even lower - there are fixed losses such as cooling, alternator, power steering pump, aircon, vacuum pump, which represent a higher percentage of power and hence fuel at low power settings. All of these are pretty negligible when talking about 10% differences in speed.
If you start driving very slowly, where aerodynamic drag becomes insignificant, these become much more important, as most of the other drag forces are proportional to speed not the square of the speed. 
Then there are complications, such as variations in combustion efficiency with engine speed and throttle opening, but it is difficult to generalise about these.
			
		 
	
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