Instability of flow through pipes of general cross‐section, Part 1

DOI10.1112/S0025579300009761zbMath0411.76031OpenAlexW2166790810MaRDI QIDQ4198205

Frank T. Smith

Publication date: 1979

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300009761

zbMATH Keywords

Poiseuille flowaspect ratiolarge Reynolds numberslinear instabilitypipestemporal and spatial

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05)

Related Items

Effects of spanwise-periodic surface heating on supersonic boundary-layer instability, Effects of streamwise-elongated and spanwise-periodic surface roughness elements on boundary-layer instability, Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer, Self-sustaining critical layer/shear layer interaction in annular Poiseuille–Couette flow at high Reynolds number, The emergence of localized vortex–wave interaction states in plane Couette flow, High-speed shear-driven dynamos. Part 1. Asymptotic analysis, Bifurcation of nonlinear Tollmien–Schlichting waves in a high-speed channel flow, Travelling waves in elliptic pipe flow, Localized vortex/Tollmien–Schlichting wave interaction states in plane Poiseuille flow, A Suggested Mechanism for Nonlinear Wall Roughness Effects on High Reynolds Number Flow Stability

Cites Work

• Unnamed Item
• Unnamed Item
• A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability
• On the effects of boundary-layer growth on flow stability
• Upstream interactions in channel flows
• FLOW THROUGH CONSTRICTED OR DILATED PIPES AND CHANNELS: PART 2
• The effect of distant sidewalls on the transition to finite amplitude Benard convection
• The smooth transition to a convective régime in a two-dimensional box
• THE STABILITY OF FLOW IN AN ELLIPTIC PIPE WITH LARGE ASPECT RATIO
• On the non-parallel flow stability of the Blasius boundary layer
• On the generation of spatially growing waves in a boundary layer
• On the behaviour of small disturbances to Poiseuille flow in a circular pipe
• Distant side-walls cause slow amplitude modulation of cellular convection
• A non-linear instability theory for a wave system in plane Poiseuille flow
• APERIODIC BEHAVIOUR OF A NON-LINEAR OSCILLATOR
• The stability of Poiseuille flow in a pipe of circular cross-section
• Linear spatial stability of pipe Poiseuille flow