Developing an Empirical Equation for Modeling Particle Deposition Velocity onto Inclined Surfaces in Indoor Environments

Figures & data

FIG. 1 Definition of surface inclination angle: (a) an acute angle; (b) an obtuse angle. (Color figure available online.)

TABLE 1 Variable parameters in this study

Variable parameter	Range or values in this study
Particle diameter (μm)	0.01; 0.05; 0.1; 0.2; 0.4; 0.5; 0.6; 0.8; 0.9; 1; 5; 10
Friction velocity (cm/s)	0.1; 0.5; 1; 5; 10
Inclination angle (degree)	0; 15; 30; 45; 60; 75; 85; 89; 90; 91; 95; 105; 120; 135; 150; 175; 180

FIG. 2 Particle deposition velocities for various inclination angles with a certain friction velocity (u* = 1 cm/s).

FIG. 3 Comparison of predicted particle deposition velocities by the empirical equation and the modified model for “Fine zone.” Solid line represents perfect match.

FIG. 4 Particle deposition velocities for various friction velocities with a certain inclination angle (θ = 45°).

FIG. 5 An example for “Zero zone” (u* = 1 cm/s, θ = 90°–180°).

FIG. 6 An example for “Transition zone” (u* = 1 cm/s, θ = 0°–180°).

FIG. 7 Comparison of particle deposition rate of a spherical chamber obtained by the empirical equation and experimental data (Cheng 1997).

FIG. 8 An example for the comparison of deposition velocities by the three methods: direct, aerodynamic, and physical method (u* = 10 cm/s, θ = 0°, particle density = 500 kg/m³).

Cheng , Y. S. 1997 . Wall Deposition of Radon Progeny and Particles in a Spherical Chamber . Aerosol Sci. Technol. , 27 : 131 – 146 .

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