Abstract
We carry out combined experimental and theoretical studies of liquid droplet evaporation on heated surfaces in a closed container filled with saturated vapor. The droplets are deposited on an electrically heated thin stainless steel foil. The evolution of droplet shapes is studied by optical methods simultaneously with high-resolution foil temperature measurements using thermochromic liquid crystals. A mathematical model is developed based on the assumptions that the droplet surface has uniform mean curvature and the contact line is pinned during evaporation. Both the dynamics of liquid–vapor interface and the temperature profiles at the foil are shown to be in good agreement with the experimental data.
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Abbreviations
- c :
-
heat capacity, J/kg K
- d :
-
thickness of the foil, μm
- h :
-
nondimensional droplet height
- h d :
-
droplet height, m
- K :
-
kinetic parameter
- k :
-
thermal conductivity, W/m K
- Δh lv :
-
latent heat, J/kg
- n :
-
nondimensional coordinate
- q :
-
nondimensional heat source term
- R :
-
gas constant per unit mass, J/kg K
- R d :
-
droplet radius, m
- r :
-
nondimensional radial coordinate
- T :
-
nondimensional temperature
- T s :
-
saturation temperature, °C
- T*:
-
temperature, °C
- ΔT*:
-
maximum temperature difference in the system, °C
- t :
-
nondimensional time
- t*:
-
time, s
- V :
-
droplet volume, m³
- z :
-
nondimensional coordinate
- α :
-
nondimensional thermal diffusivity
- ε :
-
ratio of foil thickness and initial droplet radius
- ρ:
-
density, kg/m3
- d:
-
droplet
- f:
-
foil
- s:
-
saturation
- v:
-
vapor
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Sodtke, C., Ajaev, V.S. & Stephan, P. Evaporation of thin liquid droplets on heated surfaces. Heat Mass Transfer 43, 649–657 (2007). https://doi.org/10.1007/s00231-006-0126-6
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DOI: https://doi.org/10.1007/s00231-006-0126-6