Dahneke

Parameters for aerosol penetration through a fine capillary tube via convective diffusion (Dahneke 1983, Section 9). Computes the velocity-profile normalization factor σ and the dimensionless tube length z' = DL/(σv̄R²) from which the penetration fraction ϕ(z') = Σ B_i exp(−ω_i² z') can be evaluated using the tabulated eigenvalues in Tables 3–5 of the reference. Migrated from Aerosol.jl src/dahneke_brownian_diffusion.jl:372.

Transition-regime Brownian coagulation rate constant K for two aerosol particle species using the Dahneke (1983) non-continuum correction formula (Eqs. 8.8, 8.13, 8.15). Computes particle masses, Stokes friction coefficients, Einstein diffusion coefficients, mean thermal velocities, mutual transport quantities, collision radius, diffusion Knudsen number Kn_D, continuum-limit coagulation constant K_o, and the Dahneke non-continuum correction β₂ as intermediate observed variables before assembling K. Migrated from Aerosol.jl src/dahneke_brownian_diffusion.jl:235.

Transition-regime condensation/evaporation model coupling mass and heat transfer via Dahneke (1983) correction factors β and β_q. Inlines DahnekeMassTransportCorrection (Eqs. 6.2, 3.6, 5.5) and DahnekeHeatTransportCorrection (Eq. 5.7) subsystems and adds the Maxwell flux equations (Eqs. 2.1–2.2) and Dahneke-corrected rates (Eqs. 5.4, 5.6). Migrated from Aerosol.jl src/dahneke_brownian_diffusion.jl:157.

Correction factor β_q for heat conduction to a sphere, valid across all Knudsen numbers from the continuum to the free-molecular regime. Exactly parallel to the Dahneke mass transport correction. Computes the heat transfer Knudsen number Kn_K = 2κ/(c̄'n'_gas m_gas c_v r) and the correction factor β_q = (Kn_K+1)/(2Kn_K(Kn_K+1)/α+1). Migrated from Aerosol.jl src/dahneke_brownian_diffusion.jl:93.

Correction factor β for diffusional mass transport to a sphere, valid across all Knudsen numbers from the continuum to the free-molecular regime (Dahneke 1983, Eq. 5.5). Computes the mean thermal velocity c̄, diffusional mean-free-path ℓ_D, diffusion Knudsen number Kn_D, and the correction factor β = (Kn_D+1)/(2Kn_D(Kn_D+1)/δ_m+1) as purely algebraic observed variables. Migrated from Aerosol.jl src/dahneke_brownian_diffusion.jl:33.