Flow Regimes in a Flat Elastic Channel in Presence of a Local Change of Wall Stiffness

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Flow Regimes in a Flat Elastic Channel in Presence of a Local Change of Wall Stiffness. / Liapidevskii, V. Yu ; Khe, A. K.; Chesnokov, A. A.

In: Journal of Applied and Industrial Mathematics, Vol. 13, No. 2, 01.04.2019, p. 270-279.

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

BibTeX

@article{30008ecfc1dc437d8f3875b3c051b488,

title = "Flow Regimes in a Flat Elastic Channel in Presence of a Local Change of Wall Stiffness",

abstract = "Some mathematical model is proposed of a flow in a long channel with compliant walls. This model allows us to describe both stationary and nonstationary (self-oscillatory) regimes of motion. The model is based on a two-layer representation of the flow with mass exchange between the layers. Stationary solutions are constructed and their structure is under study. We perform the numerical simulation of various flow regimes in presence of a local change of the wall stiffness. In particular, the solutions are constructed that describe the formation of a monotonic pseudoshock and the development of nonstationary self-oscillations.",

keywords = "pseudoshock, self-oscillations, shallow water equations",

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

note = "Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Ltd.",

year = "2019",

month = apr,

day = "1",

doi = "10.1134/S199047891902008X",

language = "English",

volume = "13",

pages = "270--279",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - Flow Regimes in a Flat Elastic Channel in Presence of a Local Change of Wall Stiffness

AU - Liapidevskii, V. Yu

AU - Khe, A. K.

AU - Chesnokov, A. A.

PY - 2019/4/1

Y1 - 2019/4/1

N2 - Some mathematical model is proposed of a flow in a long channel with compliant walls. This model allows us to describe both stationary and nonstationary (self-oscillatory) regimes of motion. The model is based on a two-layer representation of the flow with mass exchange between the layers. Stationary solutions are constructed and their structure is under study. We perform the numerical simulation of various flow regimes in presence of a local change of the wall stiffness. In particular, the solutions are constructed that describe the formation of a monotonic pseudoshock and the development of nonstationary self-oscillations.

AB - Some mathematical model is proposed of a flow in a long channel with compliant walls. This model allows us to describe both stationary and nonstationary (self-oscillatory) regimes of motion. The model is based on a two-layer representation of the flow with mass exchange between the layers. Stationary solutions are constructed and their structure is under study. We perform the numerical simulation of various flow regimes in presence of a local change of the wall stiffness. In particular, the solutions are constructed that describe the formation of a monotonic pseudoshock and the development of nonstationary self-oscillations.

KW - pseudoshock

KW - self-oscillations

KW - shallow water equations

UR - http://www.scopus.com/inward/record.url?scp=85067276005&partnerID=8YFLogxK

U2 - 10.1134/S199047891902008X

DO - 10.1134/S199047891902008X

M3 - Article

AN - SCOPUS:85067276005

VL - 13

SP - 270

EP - 279

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

ER -

ID: 20587182