On the stability of the similarity solutions for swirling flow above an infinite rotating disk

DOI10.1017/S0022112084001622zbMath0559.76100OpenAlexW1985195910MaRDI QIDQ5184599

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Publication date: 1984

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

Full work available at URL: https://doi.org/10.1017/s0022112084001622

zbMATH Keywords

Laplace transforminfinite rotating diskinitial- value problemlinearized time-dependent perturbationsstable continuum spectrumsteady swirling flowsteady-state similarity solutionsunstable eigenvalues for certain rotational rates

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

Related Items (4)

On a class of unsteady three-dimensional Navier—Stokes solutions relevant to rotating disc flows: threshold amplitudes and finite-time singularities ⋮ A series solution of the unsteady von Kármán swirling viscous flows ⋮ Series solutions of unsteady MHD flows above a rotating disk ⋮ The compound matrix method for ordinary differential systems

Cites Work

• On the numerical solution of the Orr-Sommerfeld problem: Asymptotic initial conditions for shooting methods
• Non-unique solutions of the Navier-Stokes equations for the Kármán swirling flow
• An initial value method for eigenvalue problems using compound matrices
• Totally positive differential systems
• The Von Karman Swirling Flows
• On rotationally symmetric flow above an infinite rotating disk
• The unsteady laminar boundary layer on a rotating disk in a counter-rotating fluid
• The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions
• Initial-value problem for boundary layer flows

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