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Matteo Cantiello edited Gradients.tex
over 9 years ago
Commit id: 642fe9177461599a6d7c9246c96056eaa7cf91a1
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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