# Changeset 701 for palm/trunk/DOC/tec

Ignore:
Timestamp:
Mar 23, 2011 8:37:42 AM (13 years ago)
Message:

Bugfixes in description of cloud physics module

Location:
palm/trunk/DOC/tec/methods/cloud_physics
Files:
2 edited

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• ## palm/trunk/DOC/tec/methods/cloud_physics/cloud_physics.tex

 r481 gives \begin{eqnarray} \overline q_{s} = \overline q_{s}(\overline T_{l})\frac{\left(1.0+\beta\,\overline q\right)} \overline q_{s}(T) = \overline q_{s}(\overline T_{l})\frac{\left(1.0+\beta\,\overline q\right)} {1.0 + \beta\, \overline q_{s}(\overline{T_{l}})}. \label{eq:qs2} \begin{eqnarray} \overline q_{s}(\overline T_{l}) = 0.622\frac{\overline e_{s}(\overline T_{l})} {p_{0}(z)-0.377\,\overline e_{s}(\overline T_{l})} {p_{0}(z)-0.378\,\overline e_{s}(\overline T_{l})} \label{eq:qs3} \end{eqnarray} The hydrostatic pressure $p_{0}(z)$ is given by \cite{cuijpers93}: \begin{eqnarray} p_{0}(z) = p_{0}(z=0)\frac{T_{\mathrm{ref}}(z)^{c_{p}/R}}{T_{0}} p_{0}(z) = p_{0}(z=0)\left(\frac{T_{\mathrm{ref}}(z)}{T_{0}}\right)^{c_{p}/R} \label{eq:p_0} \end{eqnarray} \overline q_{l} = \begin{cases} \overline q - \overline q_{s}(\overline T_{l}) & \textnormal{if} \quad \overline q > \overline q_{s}(\overline T_{l}) \\ \overline q - \overline q_{s}(\overline T) & \textnormal{if} \quad \overline q > \overline q_{s}(\overline T) \\ 0  & \textnormal{else} \end{cases} against numerical data. \textit{J. Atmos. Sci.}, \textbf{38}, 2414-2428. \bibitem[Cox (1976)]{cox76} \textbf{Cox, S. K., 1976:} Observations of cloud infrared emissivity. \textbf{Cox, S. K., 1976:} Observations of cloud infrared effective emissivity. \textit{J. Atmos. Sci.}, \textbf{33}, 287-289. \bibitem[Cuijpers and Duynkerke (1993)]{cuijpers93}
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