Observations on the Role of Vorticity in the Stability Theory of Wall Bounded Flows

DOI10.1002/sapm1991853269zbMath0737.76023OpenAlexW2246056181MaRDI QIDQ3985802

Isom H. Herron

Publication date: 27 June 1992

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1991853269

zbMATH Keywords

stabilityvorticityPoiseuille flowlinearized equationsCouette flowasymptotic suction profileHagen- Poiseuille pipe flow

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05)

Related Items (14)

Transient growth in circular pipe flow. I. Linear disturbances ⋮ Bounds for threshold amplitudes in subcritical shear flows ⋮ A unified solution of several classical hydrodynamic stability problems ⋮ Direct numerical simulations of localized disturbances in pipe Poiseuille flow ⋮ Optimal energy density growth in Hagen–Poiseuille flow ⋮ Linear stability of slip pipe flow ⋮ Nonmodal growth of three-dimensional disturbances on plane Couette–Poiseuille flows ⋮ Transition to turbulence, small disturbances, and sensitivity analysis. I: A motivating problem ⋮ A study of eigenvalue sensitivity for hydrodynamic stability operators ⋮ On the influence of boundary condition on stability of Hagen-Poiseuille flow ⋮ Slug genesis in cylindrical pipe flow ⋮ Accurate Navier-Stokes investigation of transitional and turbulent flows in a circular pipe ⋮ Energy growth in viscous channel flows ⋮ Turbulent spots in channel flows

Cites Work

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• Expansion problems in the linear stability of boundary layer flows
• Completeness theorem for non-selfadjoint eigenvalue problems in hydrodynamic stability
• Finite-amplitude steady waves in plane viscous shear flows
• MULTIPLE EIGENVALUES AND MODE CLASSIFICATION IN PLANE OISEUILLE FLOW
• Degeneracies of the temporal Orr-Sommerfeld eigenmodes in plane Poiseuille flow
• NON-LINEAR INSTABILITY OF THE ASYMPTOTIC SUCTION VELOCITY PROFILE
• On the positive square root of the fourth derivative operator
• Subcritical bifurcation of plane Poiseuille flow
• On the principle of exchange of stabilities
• Some Examples of Generalized Green’s Functions and Generalized Green’s Matrices
• A non-linear instability theory for a wave system in plane Poiseuille flow
• ASYMPTOTIC ANALYSIS OF THE ORR-SOMMERFELD PROBLEM FOR BOUNDARY-LAYER FLOWS

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