Kelvin-Helmholtz Instability Theory
Kelvin-Helmholtz Instability (KHI) is a hydrodynamic instability in which immiscible, incompressible, and inviscid fluids are in relative and irrotational motion. The basic mechanism of KHI development is in the existence of a uniform velocity shear and that does not need gravity or density difference. The horizontal boundary, corresponding to a sharp difference of velocity in the fluid is a shearing layer. Lighter layer of fluid floats over another, heavier layer (such as in a lake in summer). Physical principles tell us that gravity waves can propagate on the interface separating these two layers, not unlike waves propagating on the surface of a pond. But, if the layers flow at different velocities, i.e. when a shear is present, these waves may grow in time and lead to overturning in the vicinity of the interface. These breaking internal waves, called billows, generate mixing over a height a little shorter than their wavelength. The phenomenon is known as the Kelvin-Helmholtz instability. The top
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