Stability for turbulent boundary layer

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In fluid dynamics, a laminar boundary layer becomes unstable when the Reynolds number exceeds a critical threshold, leading to flow instability. In contrast, a turbulent boundary layer is inherently unstable but exhibits greater statistical stability compared to laminar flow. While perturbations in a laminar boundary layer grow significantly with increased Reynolds numbers, the turbulent boundary layer experiences less violent flow separation. The transition from laminar to turbulent flow is mathematically described by the Orr-Sommerfeld eigenvalue problem. Understanding these dynamics is crucial for predicting flow behavior around bodies.
alsey42147
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concerning fluid flow past a body, i know that if the boundary layer is laminar then the flow becomes unstable when the Reynold's number of the flow is greater than the critical Reynold's number. is this also true when the boundary layer is turbulent?

tia
 
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I'm not quite sure what you are asking, but a turbulent boundary layer is more stable than a laminar one. Flow separation is less violent.
 
alsey42147 said:
concerning fluid flow past a body, i know that if the boundary layer is laminar then the flow becomes unstable when the Reynold's number of the flow is greater than the critical Reynold's number. is this also true when the boundary layer is turbulent?

tia

The turbulent boundary layer is unstable per-se. In a laminar boundary layer, as the Reynolds number increases, the flow becomes more unstable in the sense than any small perturbation in the flow field ends up growing above the critical Reynolds. The flow becomes unstable, all the perturbations are amplified, and after the transition to fully turbulent boundary layer the flow is unstable but statistically stable. The transition to instability of a laminar boundary layer is described mathematically as the classical eigenvalue problem so called Orr-Somerfeld.
 
Topic about reference frames, center of rotation, postion of origin etc Comoving ref. frame is frame that is attached to moving object, does that mean, in that frame translation and rotation of object is zero, because origin and axes(x,y,z) are fixed to object? Is it same if you place origin of frame at object center of mass or at object tail? What type of comoving frame exist? What is lab frame? If we talk about center of rotation do we always need to specified from what frame we observe?

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