Critical Reynold's number is the transition from laminar to turbulent for any flow field and I need to know about, how it changes with free stream turbulence intensity?
considering that any real flow is turbulent, and laminar flow is only a good assumption for low Reynolds numbers, when you are adding turbulence intensity to the free stream, you are some how modeling the turbulence and considering the flow as being turbulent.
but the effect of turbulence intensity on "transition point" in the flow field, where the flow starts the separation is something different.
Transitional flow around a blunt object is of an unsteady nature. In Newtonain incompressible flows, it is usually characterized by a broad spectrum vorticity field downstream the object, a precessing vortex structure, as well as a time-averaged region of reverse flow. Increasing the free-stream turbulence intensity would definitely affect such flow features. In addition, it might make the transition occur at lower Reynolds number than usual.