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Kinetic Modelling of Droplet Heating and Evaporation

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Abstract

The validity of the assumption used in the previous chapters that both liquid and gas phases can be treated as a continuum is no longer obvious when the interface between liquid droplets and the ambient gas is modelled, even when the gas pressure is well above one atmosphere. The chapter begins with a review of early kinetic models of droplet evaporation. Then more rigorous models, based on numerical solutions to Boltzmann equations for vapour and air, are discussed. Two regions of gas above the surface of an evaporating droplet are considered: the kinetic and hydrodynamic regions. Vapour and air dynamics in the first region are described by the Boltzmann equations, while the conventional hydrodynamic analysis is applied in the second region. Collisions between molecules are assumed to be inelastic in the general case. The evaporation coefficient is estimated based on molecular dynamics analysis of n-dodecane molecules, using the united atoms model (bonding between hydrogen and carbon molecules is assumed to be much stronger than bonding between carbon molecules).

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    Sergei Sazhin

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Sazhin, S. (2014). Kinetic Modelling of Droplet Heating and Evaporation. In: Droplets and Sprays. Springer, London. https://doi.org/10.1007/978-1-4471-6386-2_6

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