### Abstract

Language | English |
---|---|

Pages | 50-55 |

Number of pages | 6 |

Journal | Colloids and Surfaces A: Physicochemical and Engineering Aspects |

Volume | 323 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - 30 Jun 2008 |

### Fingerprint

### Keywords

- evaporation
- liquid droplet
- evaporative cooling
- atmosphericpressure

### Cite this

*Colloids and Surfaces A: Physicochemical and Engineering Aspects*,

*323*(1-3), 50-55. https://doi.org/10.1016/j.colsurfa.2007.09.031

}

*Colloids and Surfaces A: Physicochemical and Engineering Aspects*, vol. 323, no. 1-3, pp. 50-55. https://doi.org/10.1016/j.colsurfa.2007.09.031

**A mathematical model of the evaporation of a thin sessile liquid droplet : comparison between experiment and theory.** / Dunn, G.J.; Wilson, S.K.; Duffy, B.R.; David, S.; Sefiane, K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A mathematical model of the evaporation of a thin sessile liquid droplet

T2 - Colloids and Surfaces A: Physicochemical and Engineering Aspects

AU - Dunn, G.J.

AU - Wilson, S.K.

AU - Duffy, B.R.

AU - David, S.

AU - Sefiane, K.

PY - 2008/6/30

Y1 - 2008/6/30

N2 - A mathematical model for the quasi-steady diffusion-limited evaporation of a thin axisymmetric sessile droplet of liquid with a pinned contact line is formulated and solved. The model generalises the theoretical model proposed by Deegan et al. [Contact line deposits in an evaporating drop, Phys. Rev. E, 62 (2000) 756-765] to include the effect of evaporative cooling on the saturation concentration of vapour at the free surface of the droplet, and the dependence of the coefficient of diffusion of vapour in the atmosphere on the atmospheric pressure. The predictions of the model are in good qualitative, and in some cases also quantitative, agreement with recent experimental results. In particular, they capture the experimentally observed dependence of the total evaporation rate on the thermal conductivities of the liquid and the substrate, and on the atmospheric pressure.

AB - A mathematical model for the quasi-steady diffusion-limited evaporation of a thin axisymmetric sessile droplet of liquid with a pinned contact line is formulated and solved. The model generalises the theoretical model proposed by Deegan et al. [Contact line deposits in an evaporating drop, Phys. Rev. E, 62 (2000) 756-765] to include the effect of evaporative cooling on the saturation concentration of vapour at the free surface of the droplet, and the dependence of the coefficient of diffusion of vapour in the atmosphere on the atmospheric pressure. The predictions of the model are in good qualitative, and in some cases also quantitative, agreement with recent experimental results. In particular, they capture the experimentally observed dependence of the total evaporation rate on the thermal conductivities of the liquid and the substrate, and on the atmospheric pressure.

KW - evaporation

KW - liquid droplet

KW - evaporative cooling

KW - atmosphericpressure

U2 - 10.1016/j.colsurfa.2007.09.031

DO - 10.1016/j.colsurfa.2007.09.031

M3 - Article

VL - 323

SP - 50

EP - 55

JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects

JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects

SN - 0927-7757

IS - 1-3

ER -