ON THE WAVETRAINS ASSOCIATED WITH ELASTIC JUMPS ON FLUID-FILLED ELASTIC TUBES

DOI10.1093/qjmam/36.3.289-azbMath0522.73042OpenAlexW1998520568MaRDI QIDQ3673228

Stephen J. Cowley

Publication date: 1983

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/36.3.289-a

zbMATH Keywords

numerical integrationenergy radiated from jump through cnoidal wavetrainfluid-filled, axisymmetrically deformed, tethered elastic tubesjump profilemaximum permissible energy loss corresponds to transition between uniform flowssmall turbulent energy losssmall-amplitude elastic jumpssolutions obtained for time development of weak laminar elastic jumps propagating into fluid at restturbulent energy lossviscosity-modified Korteweg-de Vries equationwavetrain consists of almost solitary waveswavetrain occurs up- or down-stream of jump depends on elastic properties of tube wall pre- stretch and mean radius

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Solitary waves for incompressible inviscid fluids (76B25) Membranes (74K15) Partial differential equations of mathematical physics and other areas of application (35Q99)

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