Stability analysis adjacent to neutral solutions of the Taylor–Goldstein equation when Howard's formula breaks down

DOI10.1017/S002211208500324XzbMath0574.76055OpenAlexW2081677089MaRDI QIDQ3693120

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Publication date: 1985

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

Full work available at URL: https://doi.org/10.1017/s002211208500324x

zbMATH Keywords

Couette flowstability characteristicsbreakdown of Howard's formulaexpansion of the dispersion relation near the neutral curveinviscid Boussinesq fluidsstability of stratified shear flowsTaylor-Goldstein problem

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Reaction effects in flows (76V05) Hydrodynamic stability (76E99)

Related Items (1)

On upper bounds for the growth rate in the extended Taylor-Goldstein problem of hydrodynamic stability

Cites Work

• The unstable solutions contiguous to the neutral ones of the equation for the shear flows in stratified, incompressible and inviscid fluids
• The stream function within the critical layer of a shear flow in a stratified and incompressible fluid
• On the stability of a shear flow in a stratified, incompressible inviscid fluid, with special emphasis on the Couette flow
• On the applicability of Howard's formula
• Perturbation methods in boundary-layer theory
• On Howard's technique for perturbing neutral solutions of the Taylor-Goldstein equation
• On the stability of heterogeneous shear flows. Part 2
• On the stability of heterogeneous shear flows

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