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

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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.

Original languageEnglish
Pages (from-to)270-279
Number of pages10
JournalJournal of Applied and Industrial Mathematics
Volume13
Issue number2
DOIs
Publication statusPublished - 1 Apr 2019

Keywords

  • pseudoshock
  • self-oscillations
  • shallow water equations

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