Modelling of nonlinear development of perturbations in a thin liquid layer at waveformation
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 1, pp. 67-73
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The mathematical model of the wave flow of a non-isothermal liquid film is shown. Wave characteristics (frequency, increment, phase velocity) are calculated under inhomogeneity of surface tension. The areas of wave modes of liquid film are determined. Within nonlinear parabolic equation nonlinear development of perturbances is analyzed. It is shown that there is a phenomenon of directed transfer of energy to the wave in the region of maximum increment.
Keywords:
liquid film, instability, wave shapes, nonlinear parabolic equation.
@article{VYURM_2014_6_1_a11,
author = {L. A. Prokudina},
title = {Modelling of nonlinear development of perturbations in a thin liquid layer at waveformation},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {67--73},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a11/}
}
TY - JOUR AU - L. A. Prokudina TI - Modelling of nonlinear development of perturbations in a thin liquid layer at waveformation JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2014 SP - 67 EP - 73 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a11/ LA - ru ID - VYURM_2014_6_1_a11 ER -
%0 Journal Article %A L. A. Prokudina %T Modelling of nonlinear development of perturbations in a thin liquid layer at waveformation %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2014 %P 67-73 %V 6 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a11/ %G ru %F VYURM_2014_6_1_a11
L. A. Prokudina. Modelling of nonlinear development of perturbations in a thin liquid layer at waveformation. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 1, pp. 67-73. http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a11/