by sergei » Tue Jul 11, 2006 2:18 am
I did a few calculations for cynos, so starting with 9.8:1 cr, and 1.2mm gasket, with 2.4mm gasket I got 8.8:1 cr. All those values highly depend on combustion chamber size, but there is no actuall need to know the size of it, it can be calculated from bore, stroke, head gasket thickness and compression ratio.
Here is the break down:
Find max bore volume of 1 cylinder (excluding gasket volume or cmbst. chamber):
PI * ( ( BORE / 2 ) ^ 2 ) * STROKE
Find volume of stock gasket:
PI * ( ( BORE / 2 ) ^ 2 ) * S.G. THICKNESS
Define compression ratio:
C.R. = TOTAL MAX VOLUME / TOTAL MIN VOLUME
Total Maximum Volume:
Maximum Bore Volume + Stock Gasket Volume + Combustion Chamber Volume
Total Minimum Volume:
Stock Gasket Volume + Combustion Chamer
Hence:
C.R. = (Maximum Bore Volume + Stock Gasket Volume + Combustion Chamber Volume ) / Stock Gasket Volume + Combustion Chamer
Replace Combustion Chamber Volume with X and introduce parameters and simplify:
C.R. = ( ( PI * ( ( BORE / 2 ) ^ 2 ) * ( STROKE + S.G. THICKNESS ) + X ) / ( ( PI * ( ( BORE / 2 ) ^ 2 ) * S.G. THICKNESS + X )
Calculating X (jumping few steps, oh my math teachers hated that):
X = ( ( PI * ( ( BORE / 2 ) ^ 2 ) * ( STROKE + S.G. THICKNESS ) ) + ( ( PI * ( ( BORE / 2 ) ^ 2 ) * S.G. THICKNESS ) ) * (1 - C.R. ) ) / ( C.R. - 1)
Skipping a few more steps:
X = ( ( PI * ( ( BORE / 2 ) ^ 2 ) ) * ( STROKE + ( S.G. THICKNESS * ( 1 - C.R.) ) ) ) / ( C.R. - 1 )
Real neat formula...