Perturbed bifurcation theory for Poiseuille annular flow
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Publication:3661171
DOI10.1017/S002211208300097XzbMath0514.76056MaRDI QIDQ3661171
Publication date: 1983
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
perturbed bifurcationaxisymmetric travelling-wave disturbance on Poiseuille flow between two concentric cylindersresonant wall oscillationssubcritical, stable, finite-amplitude perturbations
Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Bifurcations in context of PDEs (35B32)
Related Items (3)
A method for analysis of stability of flows in ribbed annuli ⋮ Stability of axial Poiseuille-Couette flow between concentric cylinders ⋮ Resonant parametric perturbations of the Hopf bifurcation
Cites Work
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
- Friction factors in the theory of bifurcating Poiseuille flow through annular ducts
- Poiseuille flow in a pipe with axially symmetric wavy walls
- Singular Perturbations of Bifurcations
- The effect of external forcing on the stability of plane Poiseuille flow
- Stability of plane Poiseuille flow to periodic disturbances of finite amplitude in the vicinity of the neutral curve
- Finite-amplitude instability of parallel shear flows
- A non-linear instability theory for a wave system in plane Poiseuille flow
- Accurate solution of the Orr–Sommerfeld stability equation
- Stability of viscous motion between parallel planes for finite disturbances
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