### Abstract

Original language | English |
---|---|

Article number | 052101 |

Number of pages | 7 |

Journal | Physics of Fluids |

Volume | 21 |

DOIs | |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

- quasisteady evaporation
- thin droplet
- mathematical model
- substrate

### Cite this

*Physics of Fluids*,

*21*, [052101]. https://doi.org/10.1063/1.3121214

}

*Physics of Fluids*, vol. 21, 052101. https://doi.org/10.1063/1.3121214

**Evaporation of a thin droplet on a thin substrate with a high thermal resistance.** / Dunn, Gavin; Wilson, S.K.; Duffy, B.R.; Sefiane, K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Evaporation of a thin droplet on a thin substrate with a high thermal resistance

AU - Dunn, Gavin

AU - Wilson, S.K.

AU - Duffy, B.R.

AU - Sefiane, K.

PY - 2009

Y1 - 2009

N2 - A mathematical model for the quasi-steady evaporation of a thin liquid droplet on a thin substrate that incorporates the dependence of the saturation concentration of vapour at the free surface of the droplet on temperature is used to examine an atypical situation in which the substrate has a high thermal resistance relative to the droplet (i.e. it is highly insulating and/or is thick relative to the droplet). In this situation diffusion of heat through the substrate is the rate-limiting evaporative process and at leading order the local mass flux is spatially uniform, the total evaporation rate is proportional to the surface area of the droplet, and the droplet is uniformly cooled. In particular, the qualitative differences between the predictions of the present model in this situation and those of the widely used 'basic' model in which the saturation concentration is independent of temperature are highlighted.

AB - A mathematical model for the quasi-steady evaporation of a thin liquid droplet on a thin substrate that incorporates the dependence of the saturation concentration of vapour at the free surface of the droplet on temperature is used to examine an atypical situation in which the substrate has a high thermal resistance relative to the droplet (i.e. it is highly insulating and/or is thick relative to the droplet). In this situation diffusion of heat through the substrate is the rate-limiting evaporative process and at leading order the local mass flux is spatially uniform, the total evaporation rate is proportional to the surface area of the droplet, and the droplet is uniformly cooled. In particular, the qualitative differences between the predictions of the present model in this situation and those of the widely used 'basic' model in which the saturation concentration is independent of temperature are highlighted.

KW - quasisteady evaporation

KW - thin droplet

KW - mathematical model

KW - substrate

UR - http://www.aip.org/

UR - http://pof.aip.org/

U2 - 10.1063/1.3121214

DO - 10.1063/1.3121214

M3 - Article

VL - 21

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

M1 - 052101

ER -