this is for holding javascript data
Nicholas Davies edited method.tex
over 7 years ago
Commit id: bbb0374a4dab6227b57ddba6f01d8b1fd05e0ec8
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diff --git a/method.tex b/method.tex
index 637589b..9bc1617 100644
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\end{equation}
\begin{equation}\label{eq:Vs}
V-s V_s =
\frac{\pi}{3}\Big(r^2_{\|_z_0}z_0 \frac{\pi}{3}\Big(r^2_{\|_{z_0}}z_0 -
r^2_{\|_z_1}z_1\Big) r^2_{\|_{z_1}}z_1\Big)
\end{equation}
Where r s is the radius of the stem (from Equation 3.1), r z 0 is the radius of the stem at height z 0 , r z 1 is the radius of the stem at height z 1 and g is gravity. ρ c is the canopy density of 5.6 kg/m 3 estimated from data in Beets and Whitehead (1996) at a stocking of 741 stems per hectare. The canopy force due to gravity is only applied to the subdomain Ω 1 , defined in Equation 3.15, where z is the vertical coordinate of any point. V 1 s is needed in order transform the canopy’s gravitational force into a force per unit stem volume.