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Matteo Cantiello edited Convective Velocities.tex
over 9 years ago
Commit id: 2acd65dfa453b60c902553159316a53ce0e4dffb
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diff --git a/Convective Velocities.tex b/Convective Velocities.tex
index cb4d178..1704acd 100644
--- a/Convective Velocities.tex
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\end{equation}
and finally
\begin{equation}
\frac{\D\rho}{\rho} = \alpha \frac{\D\P}{\P} - \delta \frac{\D T}{T} + \phi
{\D\mu}{\mu} \frac{\D\mu}{\mu}
\end{equation}
Where
$ \phi \equiv \big(\frac{\partial \ln \rho}{\partial \ln \mu} \big)_{\P,T}, \; \delta \equiv - \big(\frac{\partial \ln \rho}{\partial \ln T} \big)_{\P,\mu}, \; \alpha \equiv \big(\frac{\partial \ln \rho}{\partial \ln \P} \big)_{\mu,T}$