Viability of basic heterogeneous nucleation studies with thermally diffusive condensation particle counters

Abstract

HypothesisWhile the lack of efficient tools yielding controllable uniform supersaturations (S) has delayed basic experimental heterogeneous nucleation studies, common diffusive condensation particle counters (DCPCs) would fill this gap if their present substantial S-variation could be minimized. AnalysisFor an initially saturated vapor in two-dimensional (2D) parabolic flow, with discontinuous wall temperature change from Ts to Tc, we calculate the spatial S(x,y) distribution, including the curve Smax(Ψ) of maximal supersaturations versus streamline Ψ. Activation probability curves P(Ts,Tc) are also calculated assuming that nucleation goes from zero to 100% at a critical supersaturation S*. FindingsTwo new approaches to achieve a nearly constant Smax(Ψ) are discovered. (i) Sampling only the central 50% of the flow is most effective because the [dSmax(Ψ)/Dψ]Ψ=0 = 0. This advantage is lost in the more common axisymmetric configuration. (ii) When the ratio Le = α/D between gas–vapor heat and mass diffusivities is unity, we find the quite general property that Smax(Ψ) is exactly constant. This singular condition may be achieved in special vapor/gas mixtures (ethanol/CO2; methanol/CO2; H2O/air, all seeded with lighter or heavier gases). With greater generality, Le = 1 also in turbulent flows. Therefore, basic heterogeneous nucleation studies with newly available seed particles of fixed size and composition are viable in DCPCs.