Room air changes per hour. ACH = supply airflow Q ÷ room volume V.
Effective efficiency, accounting for imperfect mixing, dead zones, and filter bypass.
Airborne particle concentration right after the event (t=0).
Target cleanliness as a fraction of the initial concentration. 1% = 100:1 recovery.
Assuming perfect mixing, the particle concentration after a contamination event follows first-order exponential decay.
$$C(t)=C_0\,e^{-\frac{\eta\,\mathrm{ACH}}{60}\,t},\qquad \mathrm{ACH}=\frac{Q}{V}$$
The recovery time to reach the target fraction $C_\text{target}/C_0$ is
$$t=-\frac{60}{\eta\,\mathrm{ACH}}\,\ln\!\left(\frac{C_\text{target}}{C_0}\right)$$
where $C_0$ is the initial concentration, $\eta$ the effective removal efficiency, $\mathrm{ACH}$ the air changes per hour [1/h], $Q$ the supply airflow [m³/h], and $V$ the room volume [m³]. The time constant is $\tau=60/(\eta\,\mathrm{ACH})$ [min]. For 100:1 recovery ($C_\text{target}/C_0=0.01$), $t=-\tau\ln(0.01)\approx 4.6\,\tau$.
This simplified model assumes perfect mixing and steady airflow. Unidirectional (laminar) flow, local dead zones, continuous particle sources, and code-specific corrections still need separate checks.