It is difficult to understand for me the technical terms you stated. heat flux, can be assigned if I know the actual value but again for each component is difficult. A single heat flux can be applied though or you suggesting taking avg heat flux based on mass fraction of each component at that location . But then i do not know mass fraction at that wall but at starting point/inlet.

Adiabatic is out of question as per what I have read in paper. Thank you for your reply.

BTW do you know how can i put this (above relation) condition in CEL, I mean in differential form?

The table is for each set of boundary condition