ADDED mttroot/mtt/lib/examples/Thermal/ThermodynamicCycles/CarnotCycle/CarnotCycle_desc.tex Index: mttroot/mtt/lib/examples/Thermal/ThermodynamicCycles/CarnotCycle/CarnotCycle_desc.tex ================================================================== --- /dev/null +++ mttroot/mtt/lib/examples/Thermal/ThermodynamicCycles/CarnotCycle/CarnotCycle_desc.tex @@ -0,0 +1,72 @@ +% Verbal description for system CarnotCycle (CarnotCycle_desc.tex) +% Generated by MTT on Tue Dec 9 12:13:57 GMT 1997. + +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% Version control history +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% $Id$ +% %% $Log$ +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + The acausal bond graph of system \textbf{CarnotCycle} is + displayed in Figure \Ref{CarnotCycle_abg} and its label + file is listed in Section \Ref{sec:CarnotCycle_lbl}. + The subsystems are listed in Section \Ref{sec:CarnotCycle_sub}. + +The Carnot cycle is a simple closed thermodynamic cycle with four parts: +\begin{enumerate} +\item Isentropic compression +\item Heat injection at constant temperature +\item Isentropic expansion +\item Heat extraction at constant temperature +\end{enumerate} + +The subsystem \textbf{Cycle} (Section \Ref{sec:Cycle}) is a two-port +component describing an ideal gas. It has two energy ports which, with +integral causality correspond to +\begin{enumerate} +\item Entropy flow in; temperature out +\item Volume rate of change in; pressure out +\end{enumerate} + +In contast to the Otto cycle (see Table +\Ref{tab:cycles} where each table entry gives the causality on the +heat and work ports respectively). The ideal Carnot cycle has +derivative causality on the {\bf [Heat]} port for two parts of the +cycle. + +To avoid this causlity change, the Carnot cycle is approximated by +applying the heat from a temperature source via a thermal resistance +{\bf RT} component. During the {\em heat injection\/} and {\em heat +extraction\/} parts of the cycle, the resistance parameter $r\approx +0$, but during the {\em isentropic compression\/} and {\em isentropic +expansion\/} parts of the cycle, the resistance parameter $r\approx +\inf$. + +The simulation parameters appear in Section +\Ref{sec:CarnotCycle_numpar.txt}. The results are plotted against time +as follows: +\begin{itemize} +\item Volume (Figure \Ref{fig:CarnotCycle_odeso.ps-CarnotCycle-cycle-V}) +\item Pressure (Figure +\Ref{fig:CarnotCycle_odeso.ps-CarnotCycle-cycle-P}) +\item Entropy (Figure \Ref{fig:CarnotCycle_odeso.ps-CarnotCycle-cycle-S}) +\item Temperature (Figure +\Ref{fig:CarnotCycle_odeso.ps-CarnotCycle-cycle-T}) +\end{itemize} + +These values are replotted as the standard PV and TS diagrams in +Figures +\Ref{fig:CarnotCycle_odeso.ps-CarnotCycle-cycle-V:CarnotCycle-cycle-P} +and +\Ref{fig:CarnotCycle_odeso.ps-CarnotCycle-cycle-S:CarnotCycle-cycle-T} +respectively. + +The PV diagram shows the long and thin form typical of the Carnot +cycle -- this implies a poor work ratio. The TS diagram is not +informative; it is not the expected rectangle because both T and S +change in a stepwise manner. + + + + ADDED mttroot/mtt/lib/examples/Thermal/ThermodynamicCycles/OttoCycle/OttoCycle_desc.tex Index: mttroot/mtt/lib/examples/Thermal/ThermodynamicCycles/OttoCycle/OttoCycle_desc.tex ================================================================== --- /dev/null +++ mttroot/mtt/lib/examples/Thermal/ThermodynamicCycles/OttoCycle/OttoCycle_desc.tex @@ -0,0 +1,65 @@ +% Verbal description for system OttoCycle (OttoCycle_desc.tex) +% Generated by MTT on Thu Dec 4 15:59:55 GMT 1997. + +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% Version control history +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% $Id$ +% %% $Log$ +% Revision 1.1 1997/12/08 09:37:04 peterg +% Initial revision +% +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + The acausal bond graph of system \textbf{OttoCycle} is + displayed in Figure \Ref{OttoCycle_abg} and its label + file is listed in Section \Ref{sec:OttoCycle_lbl}. + The subsystems are listed in Section \Ref{sec:OttoCycle_sub}. + + +The Otto cycle is a simple closed thermodynamic cycle with four parts: +\begin{enumerate} +\item Isentropic compression +\item Heating at constant volume +\item Isentropic expansion +\item Cooling at constant volume +\end{enumerate} + +The subsystem \textbf{Cycle} (Section \Ref{sec:Cycle}) is a two-port +component describing an ideal gas. It has two energy ports which, with +integral causality correspond to +\begin{enumerate} +\item Entropy flow in; temperature out +\item Volume rate of change in; pressure out +\end{enumerate} + +In Bond Graph terms, each of the four parts of the Otto cycle +correspond to integral causality as in each case a \emph{flow} is +constrained. This is in contrast to other cycles listed in Table +\Ref{tab:cycles} where each table entry gives the causality on the +heat and work ports respectively. This is possibly why the Otto cycle +is conceptually and practically simple. + +The simulation parameters appear in Section +\Ref{sec:OttoCycle_numpar.txt}. The results are plotted against time +as follows: +\begin{itemize} +\item Volume (Figure \Ref{fig:OttoCycle_odeso.ps-OttoCycle-cycle-V}) +\item Pressure (Figure +\Ref{fig:OttoCycle_odeso.ps-OttoCycle-cycle-P}) +\item Entropy (Figure \Ref{fig:OttoCycle_odeso.ps-OttoCycle-cycle-S}) +\item Temperature (Figure +\Ref{fig:OttoCycle_odeso.ps-OttoCycle-cycle-T}) +\end{itemize} + +These values are replotted as the standard PV and TS diagrams in +Figures +\Ref{fig:OttoCycle_odeso.ps-OttoCycle-cycle-V:OttoCycle-cycle-P} +and +\Ref{fig:OttoCycle_odeso.ps-OttoCycle-cycle-S:OttoCycle-cycle-T} +respectively. + + + + +