• Pixel-art sticker of Ottix, personifying Otto Cycle Efficiency, with the caption “Squeeze Harder, Waste Less.”

IndexHeat & EntropySticker

Ottix

Otto Cycle Efficiency Physics

\[\eta = 1 - \frac{1}{r^{\gamma - 1}}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
Sale Sold out

Meet Ottix, an engine cylinder who wastes less fuel the harder he squeezes it first. Ideal Otto efficiency depends on compression ratio and the heat capacity ratio, 1.4 for air. A ratio of 10 gives about 60 percent ideally; real petrol engines reach roughly 30 to 40. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Ottix, an engine cylinder who wastes less fuel the harder he squeezes it first.

Most petrol engines follow the Otto cycle, named after Nikolaus Otto, who built one in 1876. The piston squeezes a mixture of air and fuel, a spark ignites it, the hot gas pushes the piston down, and the exhaust is pushed out.

For an ideal Otto cycle the efficiency depends only on the compression ratio r, the cylinder volume before squeezing divided by the volume after, and on γ, the ratio of the heat capacities of the gas. For air γ ≈ 1.4, so η = 1 − 1/r^0.4.

A compression ratio of 10 gives an ideal efficiency of about 60 percent. Real engines lose heat and friction and reach roughly 30 to 40 percent.

Higher compression would help, but squeezing too hard makes the mixture explode on its own before the spark, a damaging knock. Diesel engines avoid the spark altogether, using compression ratios near 20 so the air gets hot enough to ignite the fuel.

Equations

\[\eta = 1 - \frac{1}{r^{\gamma - 1}}\]
Symbols
SymbolMeaningUnit
\(\eta\) efficiency \(\mathrm{dimensionless}\)
\(r\) compression ratio \(\mathrm{dimensionless}\)
\(\gamma\) heat capacity ratio \(\mathrm{dimensionless}\)