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Abstract: In this paper, the stability of inviscid parallel flow between two parallelwalls is studied. Firstly, it is obtained that the profile of the base flow forthis classical problem is a uniform flow. Secondly, it is shown that thesolution of the disturbance equation is cr=U and ci=0, i.e., the propagationspeed of the disturbance equals the flow velocity and the disturbance in thisflow is neutral. Finally, it is suggested that the classical Rayleigh Theoremon inflectional velocity instability is incorrect which states that thenecessary condition for instability of inviscid parallel flow is the existenceof an inflection point on the velocity profile.



Author: Hua-Shu Dou

Source: https://arxiv.org/



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