Matteo Cantiello edited MLT.tex  over 9 years ago

Commit id: b4087269bb4b74b7fd4dcbc56f21a64bfe29f27b

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F_{c} = \frac{1}{2} \rho \bar{v}\, \cp \, \lambda \bigg[ \frac{\D \T'}{\D r}-\frac{\D \T}{\D r}\bigg] ,  \end{equation}  where the factor 1/2 comes from the fact that at each level approximately one-half of the matter is rising and one-half is descending. Here $\rho$, $\bar{v}$ and $\cp$ are averages along the distance $\lambda$ of density, velocity and specific heat at constant pressure of upward and downward moving fluid elements.  Using the equation~\ref{eq:deltat} we can write  \begin{equation}  F_{c} = \frac{1}{2} \rho \bar{v}\, \cp \, \lambda \bigg[ \frac{\D \T'}{\D r}-\frac{\D \T}{\D r}\bigg] T \frac{\lambda}{\hp} ( \nabla - \nabla')  , \end{equation}