Octane level in itself does not effect burn rate, nor power level. Some high octane fuels burn fast, some burn slow.
Octane rating is purely a measure of knock resistance, and therefore any influence on other factors is coincidental.
The only way higher octane fuel will increase power is by supporting a higher compression ratio or more timing advance.
It does not necessarily support more advance because it burns slower, but because it resists the detonation or spontaneous combustion across the chamber as the pressure reaches a higher peak before TDC when the fuel has been burning and generating pressure for longer.
Burn rate will be influenced by a number of factors, including how homogeneous the air fuel mixture is, the chemical nature of the components of the fuel, the particle size of the fuel dispersed in the air stream, the air temperature in the manifold, the change in air temperature during the compression stroke, the rate of pressure build up after ignition, the evaporation rate of the fuel, the latent energy of evaporation of the fuel, the A/F ratio, quantity energy released per unit of mass on burning, and other factors I am sure.
Simple tests comparing one octane rated fuel to another, while somewhat useful in practise, can be misleading as to supporting theory if we jump to to many conclusions based on limited tests. If the tests only test one fuel for each octane rating, the differences might not be due to octane rating, but other variables dependant on fuel composition. Fuel cannot have the same composition, but a different octane, as the octane change is dependant on formulation change.
A good example of this is to compare two very different fuel with similar octane rating, like ethanol or methanol with a blend of propane and butane.
Regards
pat pprimmer@acay.com.au
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