calculating actual momentum thickness(theta) & Reynolds number based on it(Re_theta)
 

Hi everyone!

I need to calculate momentum thickness (theta) and Reynolds number based on it (Re_theta) for a turbulent flow over a flat plate to capture the turbulent boundary layer.

How to find the stream-wise location for a given Re_theta??
I do it as shown in attachment 1.

After getting the required location, how do we calculate the actual momentum thickness?
I do it as shown in attachment 2.

Am I doing it right?

Problem details:
LES of turbulent flow over a Flat plate
Flow is parallel to the plate
Re (based on length of the plate) = 1 million
Ma=0.3

Domain:
shown in attachment named domain. The plate starts at x=0
Flow is in positive x direction.

If further details are needed, please do tell me...

Cheers!!