Rolling waves on the surface of a thin layer of viscous liquid at phase transition

Abstract

The mathematical model, describing the flow of a thin liquid film over a vertical wall with consideration of condensation and evaporation at the interface under the regime of rolling waves, was developed. The families of exact and numerical generalized solutions, where the traveling waves conjugate with each other or with a "residual" thickness through the strong and weak discontinuity, were constructed. Time evolution of these exact generalized solutions was studied. The maps of flow regimes on a vertical heat exchange surface were plotted.

Original language	English
Pages (from-to)	846-855
Number of pages	10
Journal	International Journal of Heat and Mass Transfer
Volume	89
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.049
Publication status	Published - 16 Jun 2015
Externally published	Yes

Keywords

Continuous and discontinuous solutions
Film condensation and evaporation
Flow regime maps
Rolling waves

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1016/j.ijheatmasstransfer.2015.05.049

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Cite this

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title = "Rolling waves on the surface of a thin layer of viscous liquid at phase transition",

abstract = "The mathematical model, describing the flow of a thin liquid film over a vertical wall with consideration of condensation and evaporation at the interface under the regime of rolling waves, was developed. The families of exact and numerical generalized solutions, where the traveling waves conjugate with each other or with a {"}residual{"} thickness through the strong and weak discontinuity, were constructed. Time evolution of these exact generalized solutions was studied. The maps of flow regimes on a vertical heat exchange surface were plotted.",

keywords = "Continuous and discontinuous solutions, Film condensation and evaporation, Flow regime maps, Rolling waves",

author = "Nakoryakov, {V. E.} and Ostapenko, {V. V.} and Bartashevich, {M. V.}",

year = "2015",

month = jun,

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doi = "10.1016/j.ijheatmasstransfer.2015.05.049",

language = "English",

volume = "89",

pages = "846--855",

journal = "International Journal of Heat and Mass Transfer",

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TY - JOUR

T1 - Rolling waves on the surface of a thin layer of viscous liquid at phase transition

AU - Nakoryakov, V. E.

AU - Ostapenko, V. V.

AU - Bartashevich, M. V.

PY - 2015/6/16

Y1 - 2015/6/16

N2 - The mathematical model, describing the flow of a thin liquid film over a vertical wall with consideration of condensation and evaporation at the interface under the regime of rolling waves, was developed. The families of exact and numerical generalized solutions, where the traveling waves conjugate with each other or with a "residual" thickness through the strong and weak discontinuity, were constructed. Time evolution of these exact generalized solutions was studied. The maps of flow regimes on a vertical heat exchange surface were plotted.

AB - The mathematical model, describing the flow of a thin liquid film over a vertical wall with consideration of condensation and evaporation at the interface under the regime of rolling waves, was developed. The families of exact and numerical generalized solutions, where the traveling waves conjugate with each other or with a "residual" thickness through the strong and weak discontinuity, were constructed. Time evolution of these exact generalized solutions was studied. The maps of flow regimes on a vertical heat exchange surface were plotted.

KW - Continuous and discontinuous solutions

KW - Film condensation and evaporation

KW - Flow regime maps

KW - Rolling waves

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M3 - Article

AN - SCOPUS:84935860448

VL - 89

SP - 846

EP - 855

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

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