Fluid mechanics Hydrodynamic stability Concept
Hydrodynamic stability
Summary
Hydrodynamic stability asks whether a steady flow persists when it is slightly disturbed. The alternative is that small disturbances grow and change it into a different flow. It is Lyapunov stability applied to solutions of the equations of fluid motion. The theory explains the onset of patterns such as convection cells and Taylor vortices, and the first steps of the transition to turbulence.
Where this leads
13 pages build on this one.
- Rayleigh's inflection point criterion
- Orr–Sommerfeld equation
- Rayleigh–Taylor instability
- Rayleigh–Bénard convection
- Richtmyer–Meshkov instability
- Squire's theorem
- Taylor–Couette instability
- Kelvin–Helmholtz instability
- Laminar–turbulent transition
- Miles–Howard theorem
- Darrieus–Landau instability
- Charney–Stern theorem
- Plateau–Rayleigh instability
Further reading
About this page
| Tag | H028A17Z55 |
|---|---|
| URI | m2://H028A17Z55 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 76E99, 76E05 |
| Specializes | Lyapunov stability |
| Same as | |
| Changed | 3 November 2026 |
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Used by
- Rayleigh's inflection point criterion
- Orr–Sommerfeld equation
- Rayleigh–Taylor instability
- Rayleigh–Bénard convection
- Richtmyer–Meshkov instability
- Squire's theorem
- Taylor–Couette instability
- Kelvin–Helmholtz instability
- Laminar–turbulent transition
- Miles–Howard theorem
- Darrieus–Landau instability
- Plateau–Rayleigh instability