Asymptotic evaluation of three-dimensional wave packets in parallel flows

DOI10.1017/S0022112091002525zbMath0718.76028OpenAlexW2159273219MaRDI QIDQ5750565

Feng Jiang

Publication date: 1991

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112091002525

zbMATH Keywords

eigenvaluesasymptotic analysismethod of steepest descentdouble Fourier integralSquire transformationincompressible parallel flowinitially localized pulse disturbanceinviscid wake flowsaddle- point equationthree-dimensional wave packets

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (1)

Asymptotic growth of disturbances from spatially compact source in a skewed mixing layer

Cites Work

• Series representation of the eigenvalues of the Orr-Sommerfeld equation
• The development of three-dimensional disturbances in an unstable film of liquid flowing down an inclined plane
• The growth of localized disturbances in a laminar boundary layer
• The Growth of Localized Disturbances in Unstable Flows
• On the eigenvalues of the Orr-Sommerfeld equation
• Stability of a Shear Layer between Parallel Streams
• The development of three-dimensional wave packets in a boundary layer
• The development of three-dimensional wave-packets in unbounded parallel flows
• The stability of an incompressible two-dimensional wake

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