What is The Physics of PortTiming?
Mathematical Foundation
Laws & Principles
- The Symmetry Mandate: 2-stroke port timing is perfectly symmetrical around Bottom Dead Center (180°). If the exhaust port opens mechanically at 100° After Top Dead Center (ATDC) on the downstroke, the piston must travel 80° to reach BDC. It then travels upward, closing the port 80° later at 260° ATDC. Total open duration is identically 160° (80 * 2).
- Rod Angle Geometry: Absolute port drop (millimeters measured from true TDC) does not linearly equal duration. Just like ignition timing, an engine with a long connecting rod maintains the piston higher in the bore for a longer rotational period. Moving a port 1mm up on a long-rod engine increases the duration significantly more than 1mm on a short-rod engine.
Step-by-Step Example Walkthrough
" A tuner measures the exhaust port roof drop on a 54mm stroke engine (110mm rod). Measuring straight down from true TDC, the port roof begins exactly 26.5mm low. "
- 1. Determine true TDC Pin Height: (Stroke 54 / 2 = 27) + Rod 110 = 137.0 mm Total.
- 2. Establish Kinematic L distance: 137.0 - 26.5mm Port Drop = 110.5 mm.
- 3. Apply Law of Cosines to find the angle at exactly 110.5mm drop: (27² + 110.5² - 110²) / (2 * 27 * 110.5).
- 4. Calculate Arc-Cos to obtain Radians, convert to degrees: 85.6° ATDC.
- 5. Calculate total downstroke travel remaining: 180° (BDC) - 85.6° = 94.4°.
- 6. Mirror for the upstroke: 94.4° * 2 = 188.8° Total Open Duration.