The existence of critical Reynolds numbers in pipe entrance flows subjected to infinitesimal axisymmetric disturbances

DOI10.1063/1.868431zbMath0825.76200OpenAlexW2048308136MaRDI QIDQ4851068

A. H. Abbot, E. A. Moss

Publication date: 7 December 1995

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868431

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05)

Related Items

Transient growth in developing plane and Hagen Poiseuille flow

Cites Work

• Numerical solution of differential eigenvalue problems with an operational approach to the Tau method
• Non-parallel stability of a flat-plate boundary layer using the complete Navier-Stokes equations
• On the stability of plane Poiseuille flow to finite-amplitude disturbances, considering the higher-order Landau coefficients
• Finite-amplitude stability of axisymmetric pipe flow
• On the stability of pipe-Poiseuille flow to finite-amplitude axisymmetric and non-axisymmetric disturbances
• Stability of developing flow in a pipe: non-axisymmetric disturbances
• The late stages of transition to turbulence in channel flow
• A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer
• Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 1. An asymptotic theory valid for small amplitude disturbances
• The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions
• Stability of developing pipe flow subjected to non-axisymmetric disturbances
• Accurate solution of the Orr–Sommerfeld stability equation