Waves in a rivulet falling down an inclined cylinder

Standard

Waves in a rivulet falling down an inclined cylinder. / Aktershev, Sergey; Alekseenko, Sergey; Bobylev, Aleksey.

In: AIChE Journal, Vol. 67, No. 1, e17002, 01.2021.

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

Harvard

Aktershev, S, Alekseenko, S & Bobylev, A 2021, 'Waves in a rivulet falling down an inclined cylinder', AIChE Journal, vol. 67, no. 1, e17002. https://doi.org/10.1002/aic.17002

APA

Aktershev, S., Alekseenko, S., & Bobylev, A. (2021). Waves in a rivulet falling down an inclined cylinder. AIChE Journal, 67(1), [e17002]. https://doi.org/10.1002/aic.17002

Vancouver

Aktershev S, Alekseenko S, Bobylev A. Waves in a rivulet falling down an inclined cylinder. AIChE Journal. 2021 Jan;67(1):e17002. doi: 10.1002/aic.17002

Author

Aktershev, Sergey ; Alekseenko, Sergey ; Bobylev, Aleksey. / Waves in a rivulet falling down an inclined cylinder. In: AIChE Journal. 2021 ; Vol. 67, No. 1.

BibTeX

@article{995c90d7c90d4c7398ac8350d5f381ae,

title = "Waves in a rivulet falling down an inclined cylinder",

abstract = "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.",

keywords = "comparison with experiment, nonlinear waves, rivulet, theoretical model, FILM FLOWS, STABILITY, LIQUID, MOVING CONTACT LINES, BREAKUP, DRIVEN, OUTER SURFACE, INSTABILITIES, SHEAR, DYNAMICS",

author = "Sergey Aktershev and Sergey Alekseenko and Aleksey Bobylev",

year = "2021",

month = jan,

doi = "10.1002/aic.17002",

language = "English",

volume = "67",

journal = "AIChE Journal",

issn = "0001-1541",

publisher = "Wiley-Blackwell",

number = "1",

}

RIS

TY - JOUR

T1 - Waves in a rivulet falling down an inclined cylinder

AU - Aktershev, Sergey

AU - Alekseenko, Sergey

AU - Bobylev, Aleksey

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