A tiny aerosol particle of density ?p and characteristic

Chapter 7, Problem 63P

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Problem 63P

A tiny aerosol particle of density ρp and characteristic diameter Dp falls in air of density ρ and viscosity μ (Fig. P7-66). If the particle is small enough, the creeping flow approximation is valid, and the terminal settling speed of the particle V depends only on Dp, μ, gravitational constant g, and the density difference (ρp – 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.

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