Linear and Nonlinear Theories for Thermoacoustic Waves in a Gas Filled Tube Subject to a Temperature Gradient

DOI10.1007/978-3-030-29951-4_9zbMath1459.76138OpenAlexW2984244797MaRDI QIDQ3295441

Dai Shimizu, Nobumasa Sugimoto

Publication date: 9 July 2020

Published in: Applied Wave Mathematics II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-29951-4_9

zbMATH Keywords

asymptotic solutionnarrow tube approximationviscous diffusive effect

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Gas dynamics (general theory) (76N15) Hydro- and aero-acoustics (76Q05) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Unnamed Item
• Unnamed Item
• Damped and thermally driven acoustic oscillations in wide and narrow tubes
• Nonlinear theory for thermoacoustic waves in a narrow channel and pore subject to a temperature gradient
• Thermoacoustic-wave equations for gas in a channel and a tube subject to temperature gradient
• Effects of heat conduction in a wall on thermoacoustic-wave propagation
• Marginal conditions for thermoacoustic oscillations in resonators
• Acoustics of Fluid-Structure Interactions
• Marginal conditions for the onset of thermoacoustic oscillations due to instability of heat flow
• Marginal condition for the onset of thermoacoustic oscillations of a gas in a tube
• Spectral energy cascade in thermoacoustic shock waves
• Stability analysis for the onset of thermoacoustic oscillations in a gas-filled looped tube
• Evaluation of mean energy fluxes in thermoacoustic oscillations of a gas in a tube
• Boundary-layer theory for Taconis oscillations in a helium-filled tube

This page was built for publication: Linear and Nonlinear Theories for Thermoacoustic Waves in a Gas Filled Tube Subject to a Temperature Gradient