Matteo Cantiello edited Convective Efficiency.tex  over 9 years ago

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\begin{equation}  E_{rad} = -\frac{4ac}{3}\frac{T^3}{\kappa \rho}\frac{\Delta T}{\lambda/2} \frac{\lambda A}{\bar{v}}.   \end{equation}  The energy excess content carried by the convective element before dissolving is $\cp \rho \Delta T^{*} V$ with $\Delta T^{*}$ here being the temperature excess of the element over its surroundings at the end of its path. Obviously $\Delta T^{*} \simeq \Delta T$, and in the classic B\{"}ohm-Vitense Bohm-Vitense  work the choice $\Delta T^{*} = 2 \Delta T$ is made.