Sensibility of Rayleigh and Orr-Sommerfeld equations to changes in base flow

Abstract eng:
Inviscid and viscous stability analysis is performed on mean velocity profiles obtained from large-eddy simulations. The effects of changes in reverse flow magnitude, inflexion point location, and maximum second derivative are analyzed with respect to their resulting effects on stability behaviour. It is found that the velocity profile second derivative is the dominant parameter, with changes thereof resulting in non-negligible shifts in peak growth rate and frequency, whereas the other two velocity parameters result in much less pronounced changes in stability behaviour.

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