Originally Posted By: Shannow
When analysing engines on a dimensional analysis basis (like they did in the old days before calculators), displacement is displacement...
Power is
# cyls * (pi*B*B/4) * S * (RPM*2*pi/60) * BMEP
# cyls * piston area x stroke x rotation speed *BMEP
BMEP is Brake Mean Effective Pressure, and arbitrary number, usually derived from measured power, but it basically tells you how effectively the engine uses each cubic inch of air and fuel.
So in an engine, power increases as:
* linearly with number of cyls
* the square of the bore (so does displacement)
* linearly with stroke (so does displacement)
* linearly with revs (that's why racers are revvers)
* linearly with BMEP (why we want great volumetric efficiency and good combustion, high comp ratios etc...best BMEP is usually torque peak)...BMEP is lower off the cam, and falls after torque peak, giving a typical power curve.
Things to be considered, particularly in the bad old days of so so metallurgy, combustion design, and manufacturing, the compromises were typically around a 2 valve arrangement.
Piston speed (stroke times speed) were "known" to have a maximum limit. You could swap stroke for revs, or revs for stroke...in the UK, they considered for "road tax" that it was fixed.
More cylinders = more things happening, = more power. = smaller bore for a given displacement = lower BMEP
More Bore = more displacement = bigger valves = (also) more prone to detonation, as the flame travels longer = lower BMEP.
Side valves allow smaller bore with whatever size valves you like, but with rubbish combustion = lower BMEP.
So in the UK, when they taxed cars on rated power, they assumed that
stroke x speeed x BMEP
piston speed x BMEP
were simply laws of physics issues that could not be improved on, and made them a constant, and "rated" engines at K*B*B*# cyls.
Metallurgy (higher speeds), airflow (BMEP), reductions in friction meant that many brit engines achieved many times their "rated" power.
But with modern metallurgy, speeds can go up. VVT and multi valves mean that you can rev harder without losing driveability, and increased BMEP at higher revs. Better fuels and chamber design mean that bores can be made bigger, and still burn efficiently.
POTY (post of the year). Very clear, concise, explanatory basis that is most helpful. Thanks!