Stephen edited subsubsection_Kinetic_Fractionation_Factor_One__.tex  over 8 years ago

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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}:  \[\phi_m = \frac{kz}{u_*}\Bigg[\bigg(\frac{\partial \bar U}{\partial z}\bigg)^2 + \bigg(\frac{\partial \bar V}{\partial z}\bigg)^2\Bigg]^{1/2}\]