Benilov_2020_Dynamics.pdf (1.44 MB)

# The dynamics of liquid films, as described by the diffuse-interface model

journal contribution

posted on 2021-09-09, 08:27 authored by Eugene BenilovThe dynamics of a thin layer of liquid between a flat solid substrate and an infinitely thick layer of saturated vapor is examined. The liquid
and vapor are two phases of the same fluid governed by the diffuse-interface model. The substrate is maintained at a fixed temperature, but
in the bulk of the fluid, the temperature is allowed to vary. The slope ε of the liquid/vapor interface is assumed to be small, as is the ratio of its
thickness to that of the film. Three asymptotic regimes are identified, depending on the vapor-to-liquid density ratio ρv/ρl
. If ρv/ρl ∼ 1 (which
implies that the temperature is comparable, but not necessarily close, to the critical value), the evolution of the interface is driven by the vertical
flow due to liquid/vapor phase transition, with the horizontal flow being negligible. In the limit ρv/ρl → 0, it is the other way around, and there
exists an intermediate regime, ρv/ρl ∼ ε
4/3, where the two effects are of the same order. Only the ρv/ρl → 0 limit is mathematically similar to
the case of incompressible (Navier–Stokes) liquids, whereas the asymptotic equations governing the other two regimes are of different types.

## History

## Publication

Physics of Fluids;32, 112103## Publisher

American Institute of Physics## Note

peer-reviewed## Language

English## External identifier

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