John, I think you are describing petrol-engined cars. The effect you describe doesn't (always) happen with my Pug diesel. Climbing a gentle gradient at about 50mph in top (5th) I can change to 4th and use less fuel, probably because I am nearer the peak of the torque curve - which is typically around 2000rpm for a diesel or 3000 for a petrol.
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Interesting. Is that demonstrated on a realtime mpg gauge or a theoretical argument? Assuming speed remains constant, the power needed is exactly the same whichever gear is used, but extra power will be needed to spin the engine at higher revs if in a lower gear. Your argument must rely on the assumption that the engine runs more efficiently at higher revs, i.e. power output per ml of fuel, whether petrol, diesel, or LPG, which I find hard to believe. If that were the case, cars would be much lower geared.
I was going to suggest you may be overthinking this John, but I guess it could also be that I am underthinking it!.
I'm no mechanic, but my understanding has always been that it is how far open the throttle is (or how far down you are pressing the pedal), that determines the amount of fuel used, not the engine speed.
Using a bicycle as a comparison, my thinking is this: If I pedal up a hill in a high gear, the crank will be turning relatively slowly (rpm), but I am using a lot of energy (fuel) to maintain a given speed. If I change to a lower gear, the crank will be turning at a faster speed, but I am using less energy to maintain the same speed.
I don't see why this would be any different in a car?
I'm not suggesting the engine speed has no bearing, but neither do I believe that coming down hill, in gear (but off throttle) at 3000rpm will use the same fuel as going uphill in the same gear at 3000rpm.
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