Degeneracies of the temporal Orr-Sommerfeld eigenmodes in plane Poiseuille flow

DOI10.1017/S0022112089000819zbMath0667.76060OpenAlexW2160799827MaRDI QIDQ3820220

Rajaratnam Shanthini

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0022112089000819

zbMATH Keywords

Chebyshev polynomialsplane Poiseuille flowinitial-value problemdiscrete spectrumDegenerating stable temporal Orr-Sommerfeld eigenmodes

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99)

Related Items

Observations on the Role of Vorticity in the Stability Theory of Wall Bounded Flows, Primary instability mechanisms on the magnetohydrodynamic boundary layer flow over a rotating disk subject to a uniform radial flow, Degeneracies and Direct Resonances in Water-Table Flow, On the Nonlinear Development of Small Three-Dimensional Perturbations in Plane Poiseuille Flow: Single-Mode Approach, Subharmonic eigenvalue orbits in the spectrum of pulsating Poiseuille flow, Resonance instabilities in the boundary-layer flow over a rotating disk under the influence of a uniform magnetic field, Extended Squire’s transformation and its consequences for transient growth in a confined shear flow, Direct spatial resonance in the compressible boundary layer on a rotating-disk, Two-dimensional disturbance growth of linearly stable viscous shear flows, Energy growth in viscous channel flows

Cites Work

• Direct resonances in Orr-Sommerfeld problems
• Resonant growth of three-dimensional disturbances in plane Poiseuille flow
• A New Mechanism For Linear and Nonlinear Hydrodynamic Instability
• On the eigenvalues of the Orr-Sommerfeld equation
• A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer
• Excitation of Direct Resonances in Plane Poiseuille Flow
• Accurate solution of the Orr–Sommerfeld stability equation