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cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 3 /asteriskmath put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 69 /E put
dup 87 /W put
dup 97 /a put
dup 98 /b put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 1 /Delta put
dup 12 /fi put
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 23 /ring put
dup 39 /quoteright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 64 /at put
dup 74 /J put
dup 75 /K put
dup 78 /N put
dup 80 /P put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 97 /a put
dup 98 /b put
dup 107 /k put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR17
%!PS-AdobeFont-1.1: CMR17 1.0
%%CreationDate: 1991 Aug 20 16:38:24
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR17) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR17 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 19 /acute put
dup 83 /S put
dup 84 /T put
dup 101 /e put
dup 106 /j put
dup 108 /l put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 116 /t put
readonly def
/FontBBox{-33 -250 945 749}readonly def
currentdict end
currentfile eexec
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/dokumenty/PRA1/12-Tepelne_stroje/Tepelne_stroje.tex
18,23 → 18,75
\end{abstract}
\section{Úvod}
\begin{enumerate}
.
\item Zkalibrujte tlakoměr, zkontrolujte čidlo pro odečítání polohy pístu.
\item rozeberte nastíněný pracovní cyklus, popište jeho jednotlivé fáze v p - V diagramu.
\item Proveďte opakovaně popsaný cyklus s různými závažími. Získejte pro každé měření plochu uzavřenou křivkami v p-V diagramu a spočítejte rozdíl potenciálních energií pro dané závaží. Vynášejte obě hodnoty do grafu, výsledné hodnoty proložte přímkou. $W =a* \Delta E+b$
\end{enumerate}
 
\section{Postup měření}
\subsection{Měření účinnosti Peltierova článku}
 
Aparaturu jsme zapojili podle zadání tak, aby bylo možné meřit elektricky přikon do zahřívacího odporu i výkon dodávaný do zátěže Peltierovým článkem.
 
Po uvedení přístrojů do provozu měření probýhalo, tak, že jsme nastavili teplotu horké lázně a při odpojené zátěži počkali, až se ustálí. Následně jsme odečetli napětí, na Peltierově článku. A zátěž zapojili, teplotu horké lázně bylo nyní potřeba dorovnat na teplotu při odpojené zátěži, aby bylo možné určit vnitřní odpor měřeného článku a tepelný výkon, který neprochází přímo aktivní oblastí. Naměřená data jsou uvedena v tabulce \ref{Peltier} kde každý druhý řádek odpovídá připojené zátěži R = 2 Ohm.
 
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
$U_{h} [V]$ & \% & $I_{h} [A]$ & \% & $U_{sr}$ [mV] & $T_h [^\circ C]$ & $T_c [^\circ C]$\\ \hline
2,02 & 2,38 & 0,40 & 6,00 & 139,9 & 13 & 7 \\ \hline
2,40 & 2,00 & 0,47 & 5,11 & 84,9 & 13 & 7 \\ \hline
2,40 & 2,00 & 0,48 & 5,00 & 169,1 & 15 & 7,5 \\ \hline
2,70 & 8,89 & 0,54 & 4,44 & 101,9 & 15 & 7,5 \\ \hline
4,00 & 6,00 & 0,78 & 3,08 & 410 & 27 & 9 \\ \hline
4,50 & 5,33 & 0,86 & 2,79 & 236 & 27 & 10 \\ \hline
5,00 & 4,80 & 1,00 & 2,40 & 633 & 38 & 11 \\ \hline
5,20 & 4,62 & 1,01 & 2,38 & 310 & 38 & 15 \\ \hline
6,10 & 3,93 & 1,20 & 2,00 & 907 & 56 & 18 \\ \hline
6,50 & 3,69 & 1,30 & 9,23 & 487 & 56 & 20 \\ \hline
\end{tabular}
\end{center}
\caption{Hodnoty naměřené na Peltierově článku}
\label{Peltier}
\end{table}
 
Z těchto hodnot jsme pak vypočetli jeho účinnost, která byla bez korekce pod jedním procentem. Jak je vidět na grafu \ref{PeltierXCarnot}.
 
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{peltier.pdf}
\end{center}
\label{PeltierXCarnot}
\caption{Učinnost Peltierova článku v porovnání s Carnotovým strojem za stejných podmínek}
\end{figure}
 
Při aplikování korekce na vnitřní odpor a tepelné ztráty se účinnost dostala přibližně ke 4,55\%,
 
\subsection{Carnotův Cyklus}
 
Tepelný stroj jsme zatěžovali závažím o definované hmotnosti a ze změny jeho potenciální energie jsme určili práci, kterou stoj vykonal.
Energii v Carnotova cyklu jsme získali výpočtem z uzavřené plochy p-V diagramu. Náš naměřený výsledek je vidět v grafu \ref{carnot}.
 
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{carnot.pdf}
\caption{Práce a energie laboratorního tepelného stroje.}
\label{carnot}
\end{center}
\end{figure}
 
Při nafitování naměřených bodů výrazem $W =a* \Delta E+b$ se ukázalo, že koeficienty jsou: $a = 1.04815 \pm 0.01257$ , $b = 0.00517276 \pm 0.0008125$ Což znamená, že účinnost laboratorní aparatury je přibližně 95\%.
 
\section{Diskuse}
Největším problémem bylo měření zachování momentu hybnosti, kdy aparatura přecházela při změně konfirugace závaží do neopakovatelně definovaných stavů, což způsobilo značnou chybu.
Při měření Peltierova článku by bylo asi vhodné použít kratší přívodní hadičky ke chladící lázni, jelikož voda se tak zbytečně ohřívá z původní teploty tání ledu a teplota studené strany článku se tak stává nestabilní.
 
\section{Závěr}
Potvrdili jsme, že účinnost Peltierova článku je značně nízká ve srovnání s Carnotovým cyklem, což opodstatňuje jeho nepoužití v elektrárnách místo parních turbín k přímému generování elektrické energie.
 
 
\begin{thebibliography}{99}
\bibitem{Stroje}{Zadání úlohy 12 - Tepelný stroj}. \href{http://rumcajs.fjfi.cvut.cz/fyzport/Mechanika/HarmOscilator/osc.pdf}{http://rumcajs.fjfi.cvut.cz/fyzport/Mechanika/HarmOscilator/osc.pdf}.
\bibitem{Stroje}{Zadání úlohy 12 - Tepelný stroj}. \href{http://praktika.fjfi.cvut.cz/TepelnyStroj}{http://praktika.fjfi.cvut.cz/TepelnyStroj}
\bibitem{Stroje}{Zadání úlohy 12 - Účinnost tepelného stroje}.\href{http://fyzika.fjfi.cvut.cz/Peltier}{http://fyzika.fjfi.cvut.cz/Peltier}
\end{thebibliography}
\end{document}
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*******************************************************************************
Sun Nov 8 21:53:29 2009
 
 
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
 
function used for fitting: f(x)
fitted parameters initialized with current variable values
 
 
 
*******************************************************************************
Sun Nov 8 21:54:06 2009
 
 
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
 
function used for fitting: f(x)
fitted parameters initialized with current variable values
 
 
 
Iteration 0
WSSR : 3.93726 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
 
initial set of free parameter values
 
a = 1
b = 1
 
After 5 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : -2.24111e-11
 
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
 
Final set of parameters Asymptotic Standard Error
======================= ==========================
 
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
 
 
correlation matrix of the fit parameters:
 
a b
a 1.000
b -0.868 1.000
 
 
*******************************************************************************
Sun Nov 8 21:55:11 2009
 
 
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
 
function used for fitting: f(x)
fitted parameters initialized with current variable values
 
 
 
Iteration 0
WSSR : 1.29854e-06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
 
initial set of free parameter values
 
a = 1.04815
b = 0.00517276
 
After 1 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : -2.44611e-15
 
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
 
Final set of parameters Asymptotic Standard Error
======================= ==========================
 
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
 
 
correlation matrix of the fit parameters:
 
a b
a 1.000
b -0.868 1.000
 
 
*******************************************************************************
Mon Nov 9 00:52:29 2009
 
 
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
 
function used for fitting: f(x)
fitted parameters initialized with current variable values
 
 
 
Iteration 0
WSSR : 3.93726 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
 
initial set of free parameter values
 
a = 1
b = 1
 
After 5 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : -2.24111e-11
 
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
 
Final set of parameters Asymptotic Standard Error
======================= ==========================
 
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
 
 
correlation matrix of the fit parameters:
 
a b
a 1.000
b -0.868 1.000
 
 
*******************************************************************************
Mon Nov 9 00:53:49 2009
 
 
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
 
function used for fitting: f(x)
fitted parameters initialized with current variable values
 
 
 
Iteration 0
WSSR : 1.29854e-06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
 
initial set of free parameter values
 
a = 1.04815
b = 0.00517276
 
After 1 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : -2.44611e-15
 
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
 
Final set of parameters Asymptotic Standard Error
======================= ==========================
 
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
 
 
correlation matrix of the fit parameters:
 
a b
a 1.000
b -0.868 1.000
 
 
*******************************************************************************
Mon Nov 9 00:55:32 2009
 
 
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
 
function used for fitting: f(x)
fitted parameters initialized with current variable values
 
 
 
Iteration 0
WSSR : 1.29854e-06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
 
initial set of free parameter values
 
a = 1.04815
b = 0.00517276
 
After 1 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : 0
 
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
 
Final set of parameters Asymptotic Standard Error
======================= ==========================
 
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
 
 
correlation matrix of the fit parameters:
 
a b
a 1.000
b -0.868 1.000
 
 
*******************************************************************************
Mon Nov 9 00:57:36 2009
 
 
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
 
function used for fitting: f(x)
fitted parameters initialized with current variable values
 
 
 
Iteration 0
WSSR : 1.29854e-06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
 
initial set of free parameter values
 
a = 1.04815
b = 0.00517276
 
After 1 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : 0
 
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
 
Final set of parameters Asymptotic Standard Error
======================= ==========================
 
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
 
 
correlation matrix of the fit parameters:
 
a b
a 1.000
b -0.868 1.000
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/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def
/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def
/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def
/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore} def
/CircE {stroke [] 0 setdash
hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore} def
/CircW {stroke [] 0 setdash
hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
/Fillden exch def
currentrgbcolor
/ColB exch def /ColG exch def /ColR exch def
/ColR ColR Fillden mul Fillden sub 1 add def
/ColG ColG Fillden mul Fillden sub 1 add def
/ColB ColB Fillden mul Fillden sub 1 add def
ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
% x,y = lower left corner of box to be filled
% w,h = width and height of box
% a = angle in degrees between lines and x-axis
% XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
gsave 1 setgray fill grestore clip
currentlinewidth 0.5 mul setlinewidth
/PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
0 0 M PFa 5 get rotate PFs -2 div dup translate
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 M 0 PFs V} for
0 PFa 6 get ne {
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
} if
stroke grestore} def
%
/languagelevel where
{pop languagelevel} {1} ifelse
2 lt
{/InterpretLevel1 true def}
{/InterpretLevel1 Level1 def}
ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke}
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
%%Page: 1 1
gnudict begin
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0.100 0.100 scale
90 rotate
0 -5040 translate
0 setgray
newpath
(Helvetica) findfont 140 scalefont setfont
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63 0 V
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854 728 M
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1.000 UL
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938 1419 M
63 0 V
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-63 0 V
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1.000 UL
LTb
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63 0 V
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1.000 UL
LTb
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63 0 V
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63 0 V
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63 0 V
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0 63 V
0 4081 R
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0 63 V
0 4081 R
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( 290) Cshow
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0 63 V
0 4081 R
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0 63 V
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0 63 V
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280 2800 M
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grestore
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LCb setrgbcolor
3964 378 M
(Th [K]) Cshow
LTb
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LT0
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1362 1626 Pls
2976 2696 Pls
4455 3283 Pls
6876 4492 Pls
3680 133 Pls
1.000 UP
1.000 UL
LT1
LTb
4552 133 M
(Peltier) Rshow
LT1
1093 832 Crs
1362 866 Crs
2976 970 Crs
4455 1039 Crs
6876 1211 Crs
4835 133 Crs
1.000 UL
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938 4872 N
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end
showpage
/dokumenty/PRA1/12-Tepelne_stroje/peltier.txt
0,0 → 1,6
286.15 0.021 0.003
288.15 0.026 0.004
300.15 0.057 0.007
311.15 0.074 0.009
329.15 0.109 0.014
 
/dokumenty/PRA1/12-Tepelne_stroje/plot.gp
0,0 → 1,19
set terminal postscript
set key off
 
set xlabel "dE [J]"
set ylabel "W [J]"
set output "carnot.ps"
f(x)=a*x+b
fit f(x) "carnot.txt" using 1:2 via a,b
plot "carnot.txt" using 1:2, f(x)
!ps2pdf carnot.ps
 
set key under
set xlabel "Th [K]"
set ylabel "Efficiency"
set output "peltier.ps"
#f(x)=a*x+b
#fit f(x) "peltier.txt" using 1:2 via a,b
plot "peltier.txt" using 1:2 title "Carnot", "" using 1:3 title "Peltier"
!ps2pdf peltier.ps