Instability of thread-annular flow with small characteristic length to three-dimensional disturbances

DOI10.1098/RSPA.2007.1907zbMath1132.76021OpenAlexW2157540029MaRDI QIDQ5450136

Mark Webber

Publication date: 19 March 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.1907

zbMATH Keywords

slip boundary conditionsChebyshev-tau methodrotating core

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Rotation in hydrodynamic stability (76E07)

Related Items (4)

Energy transient growth in curved channel flow ⋮ Stability of surfactant-laden core–annular flow and rod–annular flow to non-axisymmetric modes ⋮ Self-sustaining critical layer/shear layer interaction in annular Poiseuille–Couette flow at high Reynolds number ⋮ Laminar–turbulent coexistence in annular Couette flow

Cites Work

• Slip flow and temperature jump on the impulsively started plate
• On the linear instability of elliptic pipe flow
• Thread-annular flow in vertical pipes
• Stability of circular PoiseuilleCouette flow to axisymmetric disturbances
• The linear and nonlinear stability of thread-annular flow
• The destabilizing effect of boundary slip on Bénard convection
• Stability of Parallel Flow between Concentric Cylinders
• Accurate solution of the Orr–Sommerfeld stability equation
• An Algorithm for Generalized Matrix Eigenvalue Problems
• Slip-flow heat transfer in rectangular microchannels
• Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems

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