On wave families in a two-layer falling film

G. Çekiç; Grigory Sisoev

doi:10.1016/j.ijnonlinmec.2014.11.020

On wave families in a two-layer falling film

G. Çekiç, Grigory Sisoev

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

201 Downloads (Pure)

Abstract

Using an approximate method, families of non-linear steady-traveling periodic waves in a two-layer falling film have been found for the first time. Computed waves have qualitatively similar behavior as that of those found in homogeneous films but the quantitative characteristics of the waves strongly depend on additional similarity parameters in the two-layer films. In particular, the average location of the interface affects the bifurcation scheme of the waves.

Original language	English
Pages (from-to)	45-54
Number of pages	10
Journal	International Journal of Non-Linear Mechanics
Volume	69
Early online date	20 Nov 2014
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2014.11.020
Publication status	Published - 1 Mar 2015

Keywords

the fluid film
interface
non-linear waves
bifurcations

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10.1016/j.ijnonlinmec.2014.11.020

Cekic_Sisoev_On_wave_families_International_Journal_Non_Linear_Mechanics_2014
NOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Non-Linear Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Non-Linear Mechanics, Vol 69, March 2015, DOI: 10.1016/j.ijnonlinmec.2014.11.020. Eligibility for repository checked March 2015
Accepted author manuscript, 2.79 MBLicence: Other (please specify with Rights Statement)

http://linkinghub.elsevier.com/retrieve/pii/S0020746214002364

Cite this

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title = "On wave families in a two-layer falling film",

abstract = "Using an approximate method, families of non-linear steady-traveling periodic waves in a two-layer falling film have been found for the first time. Computed waves have qualitatively similar behavior as that of those found in homogeneous films but the quantitative characteristics of the waves strongly depend on additional similarity parameters in the two-layer films. In particular, the average location of the interface affects the bifurcation scheme of the waves.",

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AU - Çekiç, G.

AU - Sisoev, Grigory

PY - 2015/3/1

Y1 - 2015/3/1

N2 - Using an approximate method, families of non-linear steady-traveling periodic waves in a two-layer falling film have been found for the first time. Computed waves have qualitatively similar behavior as that of those found in homogeneous films but the quantitative characteristics of the waves strongly depend on additional similarity parameters in the two-layer films. In particular, the average location of the interface affects the bifurcation scheme of the waves.

AB - Using an approximate method, families of non-linear steady-traveling periodic waves in a two-layer falling film have been found for the first time. Computed waves have qualitatively similar behavior as that of those found in homogeneous films but the quantitative characteristics of the waves strongly depend on additional similarity parameters in the two-layer films. In particular, the average location of the interface affects the bifurcation scheme of the waves.

KW - the fluid film

KW - interface

KW - non-linear waves

KW - bifurcations

U2 - 10.1016/j.ijnonlinmec.2014.11.020

DO - 10.1016/j.ijnonlinmec.2014.11.020

M3 - Article

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VL - 69

SP - 45

EP - 54

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

ER -

On wave families in a two-layer falling film

Abstract

Keywords

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