Matteo Cantiello edited Gradients.tex  over 9 years ago

Commit id: 642fe9177461599a6d7c9246c96056eaa7cf91a1

deletions | additions      

       

Since a non-zero temperature gradient always implies a radiative flux, in a convective region part of the energy is still going to be transported by radiation. This flux can be written as  \begin{equation}  F_{r} = -\frac{4ac}{3}\frac{T^3}{\kappa \rho}\frac{\D \ln T}{\D \ln \P} = \frac{4ac}{3}\frac{T^4}{\kappa \rho}\frac{1}{\hp}\nabla} \rho}\frac{1}{\hp}\nabla  \end{equation}  where we used the definition of the pressure scale height