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**"Fluid Dynamics", Chapter 3 (Turbulence), Section 26**,

Landau and Lifchitz analyze the problem of the stability of a steady flow past a body of finite size.

The fluid is assumed to be incompressible and they reach the conclusion that perturbations that deviate from steady flows start to grow when a critical Reynolds number is reached (ASIK, this critical Reynolds number in unrelated to the ##\mathbb{Re}_c## at which the laminar flow becomes turbulent).

They also deduce that the amplitude of the perturbation grows proportional to:

$$A\propto\sqrt{Re-Re_c}$$.

Would this be at the origin of vortex shedding?

What's the name of this critical Reynolds number?

How does this relate to Strouhal's number?

Thank you very much in advance.