Roll Wave Structure in Long Tubes with Compliant Walls

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Roll Wave Structure in Long Tubes with Compliant Walls. / Chesnokov, A. A.; Liapidevskii, V. Yu.

In: Proceedings of the Steklov Institute of Mathematics, Vol. 300, No. 1, 01.01.2018, p. 196-205.

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

Harvard

Chesnokov, AA & Liapidevskii, VY 2018, 'Roll Wave Structure in Long Tubes with Compliant Walls', Proceedings of the Steklov Institute of Mathematics, vol. 300, no. 1, pp. 196-205. https://doi.org/10.1134/S0081543818010170

APA

Chesnokov, A. A., & Liapidevskii, V. Y. (2018). Roll Wave Structure in Long Tubes with Compliant Walls. Proceedings of the Steklov Institute of Mathematics, 300(1), 196-205. https://doi.org/10.1134/S0081543818010170

Vancouver

Chesnokov AA , Liapidevskii VY. Roll Wave Structure in Long Tubes with Compliant Walls. Proceedings of the Steklov Institute of Mathematics. 2018 Jan 1;300(1):196-205. doi: 10.1134/S0081543818010170

Author

Chesnokov, A. A. ; Liapidevskii, V. Yu. / Roll Wave Structure in Long Tubes with Compliant Walls. In: Proceedings of the Steklov Institute of Mathematics. 2018 ; Vol. 300, No. 1. pp. 196-205.

BibTeX

@article{170a6a979e3640ca9fd722e1d5f6a899,

title = "Roll Wave Structure in Long Tubes with Compliant Walls",

abstract = "We consider a flow of a fluid in a long vertical tube with elastic walls and show that, for certain parameters of the flow, small perturbations of the flow at the inlet section of the tube give rise to roll waves. Depending on the properties of the closing relation, either regular or anomalous roll waves are formed. In the latter case, a roll wave is characterized by two strong discontinuities that connect regions of continuous flow. We present the results of numerical simulations of the development of a pulsatile flow mode for convex and nonconvex closing relations that demonstrate the formation of regular and anomalous roll waves. We also construct a two-parameter class of exact periodic solutions and obtain existence diagrams for roll waves.",

author = "Chesnokov, {A. A.} and Liapidevskii, {V. Yu}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = jan,

day = "1",

doi = "10.1134/S0081543818010170",

language = "English",

volume = "300",

pages = "196--205",

journal = "Proceedings of the Steklov Institute of Mathematics",

issn = "0081-5438",

publisher = "Maik Nauka Publishing / Springer SBM",

number = "1",

}

RIS

TY - JOUR

T1 - Roll Wave Structure in Long Tubes with Compliant Walls

AU - Chesnokov, A. A.

AU - Liapidevskii, V. Yu

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We consider a flow of a fluid in a long vertical tube with elastic walls and show that, for certain parameters of the flow, small perturbations of the flow at the inlet section of the tube give rise to roll waves. Depending on the properties of the closing relation, either regular or anomalous roll waves are formed. In the latter case, a roll wave is characterized by two strong discontinuities that connect regions of continuous flow. We present the results of numerical simulations of the development of a pulsatile flow mode for convex and nonconvex closing relations that demonstrate the formation of regular and anomalous roll waves. We also construct a two-parameter class of exact periodic solutions and obtain existence diagrams for roll waves.

AB - We consider a flow of a fluid in a long vertical tube with elastic walls and show that, for certain parameters of the flow, small perturbations of the flow at the inlet section of the tube give rise to roll waves. Depending on the properties of the closing relation, either regular or anomalous roll waves are formed. In the latter case, a roll wave is characterized by two strong discontinuities that connect regions of continuous flow. We present the results of numerical simulations of the development of a pulsatile flow mode for convex and nonconvex closing relations that demonstrate the formation of regular and anomalous roll waves. We also construct a two-parameter class of exact periodic solutions and obtain existence diagrams for roll waves.

UR - http://www.scopus.com/inward/record.url?scp=85047520193&partnerID=8YFLogxK

U2 - 10.1134/S0081543818010170

DO - 10.1134/S0081543818010170

M3 - Article

AN - SCOPUS:85047520193

VL - 300

SP - 196

EP - 205

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -

ID: 13632554