New model for waves in a falling film

Abstract

The new model is developed for long-wave perturbations in a falling liquid film. The model is based on the boundary-layer approach and expansion of velocity into the system of linearly independent basic functions (harmonics), which satisfies boundary conditions. The linear analysis of stability and numerical simulations of nonlinear waves are carried out. Results of calculations of dispersion relations and modelling nonlinear waves on the basis of presented model coincide well with available experimental data.

Original language	English
Pages (from-to)	3-12
Number of pages	10
Journal	Procedia IUTAM
Volume	8
DOIs	https://doi.org/10.1016/j.piutam.2013.04.002
Publication status	Published - 1 Jan 2013
Externally published	Yes
Event	IUTAM Symposium on Waves in Fluids: Effects of Nonlinearity, Rotation, Stratification and Dissipation - Moscow, Russian Federation Duration: 18 Jun 2012 → 22 Jun 2012

Keywords

Liquid falling film
Nonlinear waves
Stability

ASJC Scopus subject areas

Mechanical Engineering

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10.1016/j.piutam.2013.04.002

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title = "New model for waves in a falling film",

abstract = "The new model is developed for long-wave perturbations in a falling liquid film. The model is based on the boundary-layer approach and expansion of velocity into the system of linearly independent basic functions (harmonics), which satisfies boundary conditions. The linear analysis of stability and numerical simulations of nonlinear waves are carried out. Results of calculations of dispersion relations and modelling nonlinear waves on the basis of presented model coincide well with available experimental data.",

keywords = "Liquid falling film, Nonlinear waves, Stability",

author = "Aktershev, {S. P.} and Alekseenko, {S. V.}",

year = "2013",

month = jan,

day = "1",

doi = "10.1016/j.piutam.2013.04.002",

language = "English",

volume = "8",

pages = "3--12",

journal = "Procedia IUTAM",

issn = "2210-9838",

note = "IUTAM Symposium on Waves in Fluids: Effects of Nonlinearity, Rotation, Stratification and Dissipation ; Conference date: 18-06-2012 Through 22-06-2012",

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T1 - New model for waves in a falling film

AU - Aktershev, S. P.

AU - Alekseenko, S. V.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - The new model is developed for long-wave perturbations in a falling liquid film. The model is based on the boundary-layer approach and expansion of velocity into the system of linearly independent basic functions (harmonics), which satisfies boundary conditions. The linear analysis of stability and numerical simulations of nonlinear waves are carried out. Results of calculations of dispersion relations and modelling nonlinear waves on the basis of presented model coincide well with available experimental data.

AB - The new model is developed for long-wave perturbations in a falling liquid film. The model is based on the boundary-layer approach and expansion of velocity into the system of linearly independent basic functions (harmonics), which satisfies boundary conditions. The linear analysis of stability and numerical simulations of nonlinear waves are carried out. Results of calculations of dispersion relations and modelling nonlinear waves on the basis of presented model coincide well with available experimental data.

KW - Liquid falling film

KW - Nonlinear waves

KW - Stability

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DO - 10.1016/j.piutam.2013.04.002

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SP - 3

EP - 12

JO - Procedia IUTAM

JF - Procedia IUTAM

SN - 2210-9838

T2 - IUTAM Symposium on Waves in Fluids: Effects of Nonlinearity, Rotation, Stratification and Dissipation

Y2 - 18 June 2012 through 22 June 2012

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