Linear stability of rotating Hagen-Poiseuille flow

DOI10.1017/S0022112081002012zbMath0471.76109MaRDI QIDQ3926290

Fredrick W. Cotton, Harold Salwen

Publication date: 1981

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

zbMATH Keywords

higher values of the wave number Reynolds number and azimuthal indexkinks, cusps and loops in the neutral stability curvesorthonormal expansion techniquerotating Hagen-Poiseuille flow

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items

Finite-amplitude self-oscillations in a rotating Hagen-Poiseuille flow, Nonlinear dynamics near the stability margin in rotating pipe flow, On the inviscid neutral curve of rotating Poiseuille pipe flow, Large-Reynolds-number asymptotic analysis of viscous centre modes in vortices, Nonaxisymmetric instability in slowly swirling jet flows, The stability of compressible swirling pipe flows with density stratification, Nonlinear spiral waves in rotating pipe flow, Instabilities of plane Poiseuille flow with a streamwise system rotation, Invariant helical subspaces for the Navier-Stokes equations, On the linear instability of the Hall-Stewartson vortex, Multiple bifurcation of rotating pipe flow, Resonant triad interactions in symmetric systems, Nonparallel local spatial stability analysis of pipe entrance swirling flows, Nonlinear waves in the pressure driven flow in a finite rotating pipe, The onset of absolute instability of rotating Hagen–Poiseuille flow: A spatial stability analysis, Experimental evidence of convective and absolute instabilities in rotating Hagen–Poiseuille flow, Time-dependent helical waves in rotating pipe flow, The effects of viscosity on centre modes in the incompressible stability of a trailing line vortex, Behavior of secondary flows in a rotating pipe

Cites Work

• Completeness theorem for non-selfadjoint eigenvalue problems in hydrodynamic stability
• Stability of Hagen-Poiseuille flow with superimposed rigid rotation
• Instability of rigidly rotating flows to non-axisymmetric disturbances
• On the instability of rapidly rotating shear flows to non-axisymmetric disturbances
• On the instability of viscous flow in a rapidly rotating pipe
• The stability of Poiseuille flow in a pipe of circular cross-section
• On the hydrodynamic and hydromagnetic stability of swirling flows