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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
The problem of flame velocity in relation to pressure and combustion.

Identifier  ExFiles\Box 133\1\  scan0256
Date  21th July 1937
  
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The treatment of the problem of flame velocity is given in the appendix.

It is clear from evidence that flame speed passes through a maximum when half the volume of the charge has been burned, and as the pressure does not reach a maximum till the end of combustion, the flame speed cannot be proportional to pressure alone. "reaction velocity" is admittedly proportional to the temperature or to some power of the pressure, but in addition to this, the rate of expansion of the combustion products must be taken into account (See appendix).

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