Analytical study of a model of fluid flow through a channel with flexible walls

DOI10.1002/MMA.8946OpenAlexW4317387680MaRDI QIDQ6140706

Madeline M. Edwards, Marianna A. Shubov

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8946

zbMATH Keywords

Green's functioncontour integralstream functionresidueinverse Fourier transformation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Euler equations (35Q31)

Cites Work

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• Stability of the flow of a fluid through a flexible tube at intermediate Reynolds number
• High-frequency self-excited oscillations in a collapsible-channel flow
• Flutter of an infinitely long panel in a duct
• Flutter of thin cylindrical shells conveying fluid

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