Acquring outlet conditions from sensor measurements
 

Hello,

I am doing a thesis on jet blast profile from a Boeing 737 aircraft. The issue is I need to get the engine outlet conditions from both the fan exit and core exit. I will be doing this by creating a sensor array with eight pitot tubes. I will be taking measurements and then will need to work backwards to get the outlet conditions. This will require CFD simulation. Has anyone done this before where you get velocities at the sensors and need to find outlet conditions? I have attached an imagine to describe this.
The image is the concept. In it V1, V2, V3 and V4 are known. U1 and U2 must be found. What would be a simple and effective method to go about this?

Regards,
Bartosz