On the Rayleigh theorem for inflectional velocity instability of inviscid flows - Physics > Fluid DynamicsReport as inadecuate




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Abstract: It is exactly proved that the classical Rayleigh Theorem on inflectionalvelocity instability is wrong which states that the necessary condition forinstability of inviscid flow is the existence of an inflection point on thevelocity profile. It is shown that the disturbance amplified in 2D inviscidflows is necessarily 3D. After the break down of T-S wave in 2D parallel flows,the disturbance becomes a type of spiral waves which proceed along thestreamwise direction. This is just the origin of formation of streamwisevortices.



Author: Hua-Shu Dou

Source: https://arxiv.org/







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