Flow Induced Bifurcations to Three-Dimensional Oscillatory Motions in Continuous Tubes

DOI10.1137/0144020zbMath0544.76051OpenAlexW2051647027MaRDI QIDQ3335313

P. R. Sethna, Anil K. Bajaj

Publication date: 1984

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0144020

zbMATH Keywords

critical valueflow velocitycenter manifold theorybifurcatesbifurcating oscillatory solutionsdouble pair of complex conjugate eigenvaluesfour nonlinear ordinary differentiallinearised operatormass ratio of the fluid and the tubemethod of integral averagingrotational symmetry about the vertical axisThree-dimensional motions of a cantilever tube carrying an incompressible fluidzero solution becomes unstable

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydrodynamic stability (76E99)

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