%info@http:://golem.fjfi.cvut.cz/wiki/root/GW4reports

\def\GWslide{\slide{Vacuum IDEAL pump down basic theory}{
\begin{center}
\begin{columns}[c]
\column{0.5\tw}
\GWigwc{1}{Theory/TokamakTechnology/Vacuum/PumpDownBasicTheory/RecipientBalance.jpg}{Nash:HVtech}
\column{0.5\tw}
\bi
\im Volume $V$ [l].
\im Pumping speed $S$ [l/s].
\im pressure $p (t)$ [Pa].
\item initial pressure $p_0$ [Pa].
\item Basic pump-down equation: $V\frac{dp}{dt}=-S\cdot p$.
\ei
\end{columns}
\begin{itemize}
\item Basic pump down time evolution: $p(t)=p_0\cdot e^{-S/V*t}$
\item .. with $p_{lim}$ limite pressure: $p(t)=(p_0-p_{lim})\cdot e^{(-S/V*t)}+p_{lim}$
\item .. with $Q_{leak}$ leakage: $p(t)=(p_0-p_{lim}-Q_{leak}/S)\cdot e^{(-S/V*t)}+p_{lim}+Q_{leak}/S$
\end{itemize} 
\end{center}
}}