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Stephen edited subsubsection_Kinetic_Fractionation_Factor_One__.tex
over 8 years ago
Commit id: a7144bf4e3e17116dc73edd4ee7a760f6cad732f
deletions | additions
diff --git a/subsubsection_Kinetic_Fractionation_Factor_One__.tex b/subsubsection_Kinetic_Fractionation_Factor_One__.tex
index 8d67bba..4ea686d 100644
--- a/subsubsection_Kinetic_Fractionation_Factor_One__.tex
+++ b/subsubsection_Kinetic_Fractionation_Factor_One__.tex
...
z_o and z_q = roughness length for momentum and humidity
z_o = 0.1h, $z_q = \frac{z_0}{exp^{(kB^{-1})}}$\\
B^{-1} = 2/k (inverse of the Dalton number of interfacial sublayer - paramterisation of mass transfer coefficient). Canopy resistance inferred from P-M sensitive to B.\\
$\phi_m$ and $\phi_h$ are the integral of the MOST functions for momentum and heat - this is where the profile will be useful as we need gradient to derive
these: these \cite{1988}:
\[\phi_m = \frac{kz}{u_*}\Bigg[\bigg(\frac{\partial \bar U}{\partial z}\bigg)^2 + \bigg(\frac{\partial \bar V}{\partial z}\bigg)^2\Bigg]^{1/2}\]