TABLE I.
Baseline values for the parameters used in our model, the evaluation of some being detailed in the supplementary material. For the channel length L, the experimental device of Huh et al.24 has L > 1 cm. In our model, L = 2 mm turns out to be sufficient for most of the simulations, with the exception of the breathing patterns of Sec. III C (see discussions therein).
| Symbol | Description | Value | Sources |
|---|---|---|---|
| H | Air channel height | 70 μm | 24 |
| W | Air channel width | 400 μm | 24 |
| L | Air channel length | 2 mm | 24 |
| d | Particle diameter | 100 nm | 6 and 44 |
| D | Diffusivity | 6.8 × 10−10 m2 s−1 | 20 |
| c0 | Volume concentration at inlet | 5.24 × 10−6 | Supplementary material |
| Γs | Maximum areal concentration | 52.4 nm | Supplementary material |
| kads | Adsorption rate | 12 600 s−1 | Supplementary material |
| kdes | Desorption rate | 40 s−1 | Supplementary material |
| V0 | Uniform air velocity at inlet | 0.337 mm s−1 | 20 |
| ρ | Air density (at 25 °C) | 1.18 kg m−3 | 52 |
| ρd | Solid density | 1180 kg m−3 | 45 |
| f | Normal breathing frequency | 15 min−1 | 53 |
| vs | Slip velocity on membrane | 1.37 μm s−1 | Supplementary material |