A tiny aerosol particle of density p and characteristic diameter D p falls in air of

A tiny aerosol particle of density ρ_p and characteristic diameter D_p falls in air of density ρ and viscosity μ (Fig. P7–62). If the particle is small enough, the creeping flow approximation is valid, and the terminal settling speed of the particle V depends only on D_p, μ, gravitational constant g, and the density difference (ρ_p – ρ). Use dimensional analysis to generate a relationship for V as a function of the independent variables. Name any established dimensionless parameters that appear in your analysis.

Fig. P7–62

Transcribed Image Text:

Pp- Dy V ρ, μ