Table 1 Fluid properties adopted in the simulations.

From: Dust mitigation by a water droplet in between movable and modified wetting states surfaces

Property

Name

Water

Air

\(\rho \left({\text{kg/{m}}}^{3}\right)\)

Density

838.5 + 1.4 T − 0.003 T2 + 3.7 × 10–7 T3

6 × 10–6 T2 − 0.0036 T + 2.1483

\(\mu \left({\text{Pa}}\cdot {\text{s}}\right)\)

Dynamic viscosity

1.38 − 0.021T + 1.36 × 10−4T2 − 4.65 × 10–7 T3

1.77 × 10−8T + 12.536 × 10–6

\(\sigma \left({\text{N/m}}\right)\)

Surface tension

− 0.0206T + 13.41

\(\gamma \left({\text{m/s}}\right)\)

Re-initialization parameter

0.6

0.6

\(\epsilon (\upmu {\text{m}})\)

Interfacial thickness

10–50

\({\theta }_{d}\)

Contact angle

152° ± 4° for b = 50 µm

146° ± 4° for b = 25 µm

138° ± 4° for b = 10 µm

130° ± 4° for b = 0 µm

\(k ({\text{W/mK}})\)

Thermal conductivity

− 8.354 × 10–6 T2 + 6.53 × 10–3 T − 0.5981

5.75 × 10–5 (1–2.1 × 10–6 T2 − 3.17 × 10–3 T + 1)

\(D ({\text{c{m}}}^{2}/{\text{s}})\)

Diffusion coefficient

0.0018 T − 0.2913

\({C}_{p} ({\text{J/kg \, K}})\)

Specific heat capacity

0.0112 T2 − 7.0516 T + 5294.5

0.0004T2 − 0.1704T + 1023