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Matteo Cantiello edited Convective Efficiency.tex
over 9 years ago
Commit id: 2a848eb6bfa05e4c1a381b37922eae4cd29a3812
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diff --git a/Convective Efficiency.tex b/Convective Efficiency.tex
index 51af55d..e86addd 100644
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\begin{equation}\label{eq:gamma}
\Gamma = \frac{\cp}{12\sqrt{2} a c}\frac{\kappa g Q^{1/2} \rho^{5/2} \lambda^2}{\P^{1/2} T^3}(\nabla - \nabla')^{1/2} = \mathscr{A} \, (\nabla - \nabla')^{1/2}
\end{equation}
where
$\mathsc{A} $\mathscr{A} \equiv \frac{Q^{1/2} \cp ]kappa g \rho^{5/2} \lambda^2}{12\sqrt{2}ac\P{1/2}T^3}$ is essentially the ratio of the convective to the radiative conductivities.