Filter Smoke Number → Black Carbon

Convert an FSN (Bosch) reading to mass-concentration black carbon in exhaust, per IMO's correlation function.

CombustionEmissionsBlack Carbon

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This calculator requires JavaScript to compute its result. The formula, symbols, and regulatory sources are shown in the Formula section below.

Formula, assumptions, and limits

BC = \frac{1}{0.405} \cdot 5.32 \cdot FSN \cdot e^{0.318 \cdot FSN}

Symbol	Meaning	Unit
$FSN$	Filter smoke number (ISO 10054 / Bosch)
$BC$	Black carbon concentration	mg/m³ exhaust

Source: IMO MEPC BC correlation (ISO 8178 annex); Mollenhauer & Tschoeke - Handbook of Diesel Engines

Convert an FSN (Bosch) reading to mass-concentration black carbon in exhaust, per IMO's correlation function.