Hydrodynamic stability

Kelvin–Helmholtz instability on Saturn, caused by the interaction between two bands of the planet's atmosphere.

In fluid dynamics, hydrodynamic stability is the field which analyses the stability and the onset of instability of fluid flows. Instabilities may develop further into turbulence. The foundations of hydrodynamic stability, both theoretical and experimental, were laid by — notably — Helmholtz, Kelvin, Rayleigh and Reynolds during the nineteenth century.

See also

• List of hydrodynamic instabilities
• Görtler vortices
• Kelvin–Helmholtz instability
• Plasma stability
• Rayleigh–Taylor instability
• Taylor–Couette flow
• Taylor–Goldstein equation
• Orr–Sommerfeld equation

References

• Drazin, P. G. (2002), Introduction to hydrodynamic stability, Cambridge University Press, ISBN 0 521 00965 0 
• Drazin, P.G.; Reid, W.H. (1981), Hydrodynamic stability, Cambridge University Press, ISBN 0 521 28980 7 
• Lin, C.C. (1966), The theory of hydrodynamic stability (corrected ed.), Cambridge University Press 
• Joseph, D.D. (1976), Stability of fluid motions I, Tracts in Natural Philosophy, 27, Springer-Verlag, ISBN 3 540 07541 3 
  Joseph, D.D. (1976), Stability of fluid motions II, Tracts in Natural Philosophy, 28, Springer-Verlag, ISBN 3 540 07516 X 
• Sritharan, S.S. (1990), Invariant manifold theory for hydrodynamic transition, Pitman research notes in mathematics series, 241, Wiley, ISBN 0582067812 

External links

• "Flow instabilities". National Committee for Fluid Mechanics Films (NCFMF). http://web.mit.edu/hml/ncfmf.html. Retrieved 9 March 2009.