Unit content
The air-standard Otto cycle
The Otto cycle idealizes a spark-ignition reciprocating engine using a fixed mass of ideal gas.
It consists of four internally reversible processes:
- isentropic compression;
- constant-volume heat addition;
- isentropic expansion;
- constant-volume heat rejection.
With constant specific heats, its thermal efficiency is
$$\eta_{Otto}=1-\frac{1}{r^{k-1}},$$
where
$$r=\frac{v_1}{v_2}$$
is the compression ratio and $k=c_p/c_v$.
For $r=10$ and $k=1.4$,
$$\eta_{Otto}=1-10^{-0.4}\approx0.602.$$
The result explains why a larger compression ratio improves the ideal cycle. Real engines depart from the model through finite-rate combustion, heat losses, friction, gas exchange, variable specific heats and material or combustion constraints.
The Otto cycle is therefore a thermodynamic benchmark for engine architecture, not a literal description of every process inside a real cylinder.