Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Waves in a rivulet falling down an inclined cylinder. / Aktershev, Sergey; Alekseenko, Sergey; Bobylev, Aleksey.
в: AIChE Journal, Том 67, № 1, e17002, 01.2021.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Waves in a rivulet falling down an inclined cylinder
AU - Aktershev, Sergey
AU - Alekseenko, Sergey
AU - Bobylev, Aleksey
N1 - Publisher Copyright: © 2020 American Institute of Chemical Engineers Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2021/1
Y1 - 2021/1
N2 - In the long-wave approximation, a theoretical model is developed to describe waves in a rivulet flowing down the lower surface of an inclined cylinder. The model equations are derived by the weighted residual method by projecting the Navier–Stokes equations onto the constructed system of basic orthogonal polynomials. The simplest case of quasi-two-dimensional waves is studied in detail. The stability of the rivulet flow is analyzed and dispersion dependences for linear waves are obtained. The characteristics of nonlinear steady-state traveling waves have been obtained by numerical method for the first time, and the spatial development of forced waves has been studied. The results of calculations are in good agreement with the available experimental data for various liquids in a wide range of parameters.
AB - In the long-wave approximation, a theoretical model is developed to describe waves in a rivulet flowing down the lower surface of an inclined cylinder. The model equations are derived by the weighted residual method by projecting the Navier–Stokes equations onto the constructed system of basic orthogonal polynomials. The simplest case of quasi-two-dimensional waves is studied in detail. The stability of the rivulet flow is analyzed and dispersion dependences for linear waves are obtained. The characteristics of nonlinear steady-state traveling waves have been obtained by numerical method for the first time, and the spatial development of forced waves has been studied. The results of calculations are in good agreement with the available experimental data for various liquids in a wide range of parameters.
KW - comparison with experiment
KW - nonlinear waves
KW - rivulet
KW - theoretical model
KW - FILM FLOWS
KW - STABILITY
KW - LIQUID
KW - MOVING CONTACT LINES
KW - BREAKUP
KW - DRIVEN
KW - OUTER SURFACE
KW - INSTABILITIES
KW - SHEAR
KW - DYNAMICS
UR - http://www.scopus.com/inward/record.url?scp=85090923248&partnerID=8YFLogxK
U2 - 10.1002/aic.17002
DO - 10.1002/aic.17002
M3 - Article
AN - SCOPUS:85090923248
VL - 67
JO - AIChE Journal
JF - AIChE Journal
SN - 0001-1541
IS - 1
M1 - e17002
ER -
ID: 25291146