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Gas Dynamics Tables Source

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All parts of this source were generated by the Potto-GDC. Note this source is the source of the old version 1.1.1 and not 1.2(about 6.4M 1.2 as oppose to about 50k of 1.1.1 version). It is not practical to post 6.4M file to view on-line. You can download the source itself.

\documentclass[12pt]{book}
\usepackage{html}
\usepackage{hthtml}
\usepackage{longtable}
\usepackage{dcolumn}


\htmetainfo{description}{free textbook pdf and HTML open
source }
\htmetainfo{keywords}{isentropic flow, Converging-Diverging Nozzle,
gas dynamics calculator, nozzle efficiency, real gas isentropic
flow , stagnation properties}

\begin{document}
\begin{rawhtml}
Gas Dynamics Tables Compressible Flow Tables and Free<br> Content Textbook Book
Go to Potto home.

\end{rawhtml}
\begin{rawhtml}



To download the pdf
version the book



\end{rawhtml}
\vspace{1in}
These Tables were created by Potto-GDC and later where
translated by using latex2html versions 1.7.


\chapter{Isentropic Flow}
\label{chap:variableArea}

\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{1.3}|D..{1.5}|D..{1.6}|D..{1.5}|D..{1.6}|D..{1.6}|D..{1.5}|}
%end{latexonly}
\caption{ Isentropic Table $k=1.4$ \label{variableArea:tab:basicIsentropic}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $} &
\multicolumn{1}{|c} {$\mathbf{T \over T_0} $} &
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho_0} $} &
\multicolumn{1}{|c} {$\mathbf{A \over A^{\star}} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P_0} $} &
\multicolumn{1}{|c} {$\mathbf{A\times P \over A^{*} \times P_0} $} &
\multicolumn{1}{|c|} {$\mathbf{F \over F^{*}} $}

\\\hline

\endfirsthead
\endhead
0.000& 1.00000& 1.00000& 5.8E+5& 1.0000& 5.8E+5& 2.4E+5 \\
\hline
0.050& 0.99950& 0.99875& 11.59& 0.99825& 11.57& 4.838
\\ \hline
0.100& 0.99800& 0.99502& 5.822& 0.99303& 5.781& 2.443
\\ \hline
0.200& 0.99206& 0.98028& 2.964& 0.97250& 2.882& 1.268
\\ \hline
0.300& 0.98232& 0.95638& 2.035& 0.93947& 1.912& 0.89699
\\ \hline
0.400& 0.96899& 0.92427& 1.590& 0.89561& 1.424& 0.72632
\\ \hline
0.500& 0.95238& 0.88517& 1.340& 0.84302& 1.130& 0.63535
\\ \hline
0.600& 0.93284& 0.84045& 1.188& 0.78400& 0.93155& 0.58377
\\ \hline
0.700& 0.91075& 0.79158& 1.094& 0.72093& 0.78896& 0.55425
\\ \hline
0.800& 0.88652& 0.73999& 1.038& 0.65602& 0.68110& 0.53807
\\ \hline
0.900& 0.86059& 0.68704& 1.009& 0.59126& 0.59650& 0.53039
\\ \hline
1.00& 0.83333& 0.63394& 1.000& 0.52828& 0.52828& 0.52828
\\ \hline
1.100& 0.80515& 0.58170& 1.008& 0.46835& 0.47207& 0.52989
\\ \hline
1.200& 0.77640& 0.53114& 1.030& 0.41238& 0.42493& 0.53399
\\ \hline
1.300& 0.74738& 0.48290& 1.066& 0.36091& 0.38484& 0.53974
\\ \hline
1.400& 0.71839& 0.43742& 1.115& 0.31424& 0.35036& 0.54655
\\ \hline
1.500& 0.68966& 0.39498& 1.176& 0.27240& 0.32039& 0.55401
\\ \hline
1.600& 0.66138& 0.35573& 1.250& 0.23527& 0.29414& 0.56182
\\ \hline
1.700& 0.63371& 0.31969& 1.338& 0.20259& 0.27099& 0.56976
\\ \hline
1.800& 0.60680& 0.28682& 1.439& 0.17404& 0.25044& 0.57768
\\ \hline
1.900& 0.58072& 0.25699& 1.555& 0.14924& 0.23211& 0.58549
\\ \hline
2.000& 0.55556& 0.23005& 1.688& 0.12780& 0.21567& 0.59309
\\ \hline
2.500& 0.44444& 0.13169& 2.637& 0.058528& 0.15432& 0.62693
\\ \hline
3.000& 0.35714& 0.076226& 4.235& 0.027224& 0.11528& 0.65326
\\ \hline
3.500& 0.28986& 0.045233& 6.790& 0.013111& 0.089018& 0.67320
\\ \hline
4.000& 0.23810& 0.027662& 10.72& 0.00659& 0.070595& 0.68830
\\ \hline
4.500& 0.19802& 0.017449& 16.56& 0.00346& 0.057227& 0.69983
\\ \hline
5.000& 0.16667& 0.011340& 25.00& 0.00189& 0.047251& 0.70876
\\ \hline
5.500& 0.14184& 0.00758& 36.87& 0.00107& 0.039628& 0.71578
\\ \hline
6.000& 0.12195& 0.00519& 53.18& 0.000633& 0.033682& 0.72136
\\ \hline
6.500& 0.10582& 0.00364& 75.13& 0.000385& 0.028962& 0.72586
\\ \hline
7.000& 0.092593& 0.00261& 1.0E+2& 0.000242& 0.025156& 0.72953
\\ \hline
7.500& 0.081633& 0.00190& 1.4E+2& 0.000155& 0.022046& 0.73257
\\ \hline
8.000& 0.072464& 0.00141& 1.9E+2& 0.000102& 0.019473& 0.73510
\\ \hline
8.500& 0.064725& 0.00107& 2.5E+2& 6.90E-5& 0.017321& 0.73723
\\ \hline
9.000& 0.058140& 0.000815& 3.3E+2& 4.74E-5& 0.015504& 0.73903
\\ \hline
9.500& 0.052493& 0.000631& 4.2E+2& 3.31E-5& 0.013957& 0.74058
\\ \hline
10.00& 0.047619& 0.000495& 5.4E+2& 2.36E-5& 0.012628& 0.74192
\\ \hline
\end{longtable}


\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{1.4}|D..{1.6}|D..{1.6}|D..{1.6}|D..{1.6}|D..{1.4}|D..{1.4}|}
%end{latexonly}
\caption{ Isothermal Table \label{variableArea:tab:basicIsothermal}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $} &
\multicolumn{1}{|c} {$\mathbf{T_0 \over {T_0}^{\star}} $} &
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{\star}} $} &
\multicolumn{1}{|c} {$\mathbf{A \over A^{\star}} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P^{\star}} $} &
\multicolumn{1}{|c} {$\mathbf{A\times P \over A^{*} \times P_0} $} &
\multicolumn{1}{|c|} {$\mathbf{F \over F^{*}} $}

\\\hline

\endhead
0.00& 0.52828& 1.064& 5.0E+5& 2.014& 1.0E+6& 4.2E+5 \\
\hline
0.05& 0.52921& 1.064& 9.949& 2.010& 20.00& 8.362 \\
\hline
0.1& 0.53199& 1.064& 5.001& 2.000& 10.00& 4.225 \\
\hline
0.2& 0.54322& 1.064& 2.553& 1.958& 5.000& 2.200 \\
\hline
0.3& 0.56232& 1.063& 1.763& 1.891& 3.333& 1.564 \\
\hline
0.4& 0.58985& 1.062& 1.389& 1.800& 2.500& 1.275 \\
\hline
0.5& 0.62665& 1.059& 1.183& 1.690& 2.000& 1.125 \\
\hline
0.6& 0.67383& 1.055& 1.065& 1.565& 1.667& 1.044 \\
\hline
0.7& 0.73278& 1.047& 0.99967& 1.429& 1.429& 1.004 \\
\hline
0.8& 0.80528& 1.036& 0.97156& 1.287& 1.250& 0.98750
\\ \hline
0.9& 0.89348& 1.021& 0.97274& 1.142& 1.111& 0.98796
\\ \hline
1.00& 1.000& 1.000& 1.000& 1.000& 1.000& 1.000 \\
\hline
1.10& 1.128& 0.97376& 1.053& 0.86329& 0.90909& 1.020 \\
\hline
1.20& 1.281& 0.94147& 1.134& 0.73492& 0.83333& 1.047 \\
\hline
1.30& 1.464& 0.90302& 1.247& 0.61693& 0.76923& 1.079 \\
\hline
1.40& 1.681& 0.85853& 1.399& 0.51069& 0.71429& 1.114 \\
\hline
1.50& 1.939& 0.80844& 1.599& 0.41686& 0.66667& 1.153 \\
\hline
1.60& 2.245& 0.75344& 1.863& 0.33554& 0.62500& 1.194 \\
\hline
1.70& 2.608& 0.69449& 2.209& 0.26634& 0.58824& 1.237 \\
\hline
1.80& 3.035& 0.63276& 2.665& 0.20846& 0.55556& 1.281 \\
\hline
1.90& 3.540& 0.56954& 3.271& 0.16090& 0.52632& 1.328 \\
\hline
2.00& 4.134& 0.50618& 4.083& 0.12246& 0.50000& 1.375 \\
\hline
2.50& 9.026& 0.22881& 15.78& 0.025349& 0.40000& 1.625 \\
\hline
3.000& 19.41& 0.071758& 90.14& 0.00370& 0.33333& 1.889 \\
\hline
3.500& 40.29& 0.015317& 7.5E+2& 0.000380& 0.28571& 2.161 \\
\hline
4.000& 80.21& 0.00221& 9.1E+3& 2.75E-5& 0.25000& 2.438 \\
\hline
4.500& 1.5E+2& 0.000215& 1.6E+5& 1.41E-6& 0.22222& 2.718 \\
\hline
5.000& 2.8E+2& 1.41E-5& 4.0E+6& 0.0& 0.20000& 3.000 \\
\hline
5.500& 4.9E+2& 0.0& 1.4E+8& 0.0& 0.18182& 3.284 \\
\hline
6.000& 8.3E+2& 0.0& 7.3E+9& 0.0& 0.16667& 3.569 \\
\hline
6.500& 1.4E+3& 0.0& 5.3E+11& 0.0& 0.15385& 3.856 \\
\hline
7.000& 2.2E+3& 0.0& 5.6E+13& 0.0& 0.14286& 4.143 \\
\hline
7.500& 3.4E+3& 0.0& 8.3E+15& 0.0& 0.13333& 4.431 \\
\hline
8.000& 5.2E+3& 0.0& 1.8E+18& 0.0& 0.12500& 4.719 \\
\hline
8.500& 7.7E+3& 0.0& 5.4E+20& 0.0& 0.11765& 5.007 \\
\hline
9.000& 1.1E+4& 0.0& 2.3E+23& 0.0& 0.11111& 5.296 \\
\hline
9.500& 1.6E+4& 0.0& 1.4E+26& 0.0& 0.10526& 5.586 \\
\hline
10.00& 2.2E+4& 0.0& 1.2E+29& 0.0& 0.100000& 5.875 \\
\hline
\end{longtable}


\htmetainfo{description}{free textbook pdf and HTML open
source }
\htmetainfo{keywords}{normal shock, shock tube, moving shocks
shock dynamics, gas dynamics calculator, nozzle efficiency, compressible
flow, Prandtl conditions, manual solution }

\chapter{Normal Shock }
\label{chap:shock}

\begin{htmlonly}
\begin{center}
\begin{tabular}
{r|r|r|r|r}
\end{htmlonly}
%begin{latexonly}
\begin{center}
\begin{tabular}
{|D..{1.3}|D..{4.3}|D..{1.5}|D..{2.6}|D..{7.2}|}
%end{latexonly}
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{k} $} &
\multicolumn{1}{|c} {$\mathbf{{M_x}} $} &
\multicolumn{1}{|c} {$\mathbf{M_y} $} &
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'} } $} &
\multicolumn{1}{|c|} {$\mathbf{{T_y} \over {T_x} } $}

\\\hline

1.30& 1073.25& 0.33968& 2.2645&169842.29 \\ \hline
1.40& 985.85& 0.37797& 1.8898&188982.96 \\ \hline
1.50& 922.23& 0.40825& 1.6330&204124.86 \\ \hline
1.60& 873.09& 0.43301& 1.4434&216507.05 \\ \hline
1.70& 833.61& 0.45374& 1.2964&226871.99 \\ \hline
1.80& 801.02& 0.47141& 1.1785&235702.93 \\ \hline
1.90& 773.54& 0.48667& 1.0815&243332.79 \\ \hline
2.00& 750.00& 0.50000& 1.00000&250000.64 \\ \hline
2.10& 729.56& 0.51177& 0.93048&255883.78 \\ \hline
2.20& 711.62& 0.52223& 0.87039&261117.09 \\ \hline
2.30& 695.74& 0.53161& 0.81786&265805.36 \\ \hline
2.40& 681.56& 0.54006& 0.77151&270031.44 \\ \hline
2.50& 668.81& 0.54772& 0.73029&273861.85 \\ \hline
\end{tabular}
\bigskip
\end{center}
\textit{Table of maximum values of the shock-chocking phenomenon.}
\medskip

\setlongtables
\begin{htmlonly}
\begin{longtable}
{r|r|r|r|r|r}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{-1}|D..{2.6}|D..{2.6}|D..{3.6}|D..{2.6}|D..{2.6}|}\hline
%end{latexonly}
\caption{ The shock wave Table for k = 1.4 \label{shock:tab:basic}}\\\hline
\multicolumn{1}{|c|} {$\rule[-0.1in]{0.pt}{0.3 in} \mathbf{M_x} $} &
\multicolumn{1}{|c|} {$\mathbf{M_y} $} &
\multicolumn{1}{|c|}{$ \mathbf{T_y \over T_x} $ } &
\multicolumn{1}{|c|}{$ \mathbf{\rho_y \over \rho_x} $ } &
\multicolumn{1}{|c|}{$ \mathbf{P_y \over P_x} $ } &
\multicolumn{1}{|c|}{$ \mathbf{P_{0y} \over P_{0x}} $ }
\\\hline

\endfirsthead
\endhead

1.00& 1.00000& 1.00000& 1.00000& 1.00000& 1.00000 \\ \hline
1.05& 0.95313& 1.03284& 1.08398& 1.11958& 0.99985 \\ \hline
1.10& 0.91177& 1.06494& 1.16908& 1.24500& 0.99893 \\ \hline
1.15& 0.87502& 1.09658& 1.25504& 1.37625& 0.99669 \\ \hline
1.20& 0.84217& 1.12799& 1.34161& 1.51333& 0.99280 \\ \hline
1.25& 0.81264& 1.15938& 1.42857& 1.65625& 0.98706 \\ \hline
1.30& 0.78596& 1.19087& 1.51570& 1.80500& 0.97937 \\ \hline
1.35& 0.76175& 1.22261& 1.60278& 1.95958& 0.96974 \\ \hline
1.40& 0.73971& 1.25469& 1.68966& 2.12000& 0.95819 \\ \hline
1.45& 0.71956& 1.28720& 1.77614& 2.28625& 0.94484 \\ \hline
1.50& 0.70109& 1.32022& 1.86207& 2.45833& 0.92979 \\ \hline
1.55& 0.68410& 1.35379& 1.94732& 2.63625& 0.91319 \\ \hline
1.60& 0.66844& 1.38797& 2.03175& 2.82000& 0.89520 \\ \hline
1.65& 0.65396& 1.42280& 2.11525& 3.00958& 0.87599 \\ \hline
1.70& 0.64054& 1.45833& 2.19772& 3.20500& 0.85572 \\ \hline
1.75& 0.62809& 1.49458& 2.27907& 3.40625& 0.83457 \\ \hline
1.80& 0.61650& 1.53158& 2.35922& 3.61333& 0.81268 \\ \hline
1.85& 0.60570& 1.56935& 2.43811& 3.82625& 0.79023 \\ \hline
1.90& 0.59562& 1.60792& 2.51568& 4.04500& 0.76736 \\ \hline
1.95& 0.58618& 1.64729& 2.59188& 4.26958& 0.74420 \\ \hline
2.00& 0.57735& 1.68750& 2.66667& 4.50000& 0.72087 \\ \hline
2.05& 0.56906& 1.72855& 2.74002& 4.73625& 0.69751 \\ \hline
2.10& 0.56128& 1.77045& 2.81190& 4.97833& 0.67420 \\ \hline
2.15& 0.55395& 1.81322& 2.88231& 5.22625& 0.65105 \\ \hline
2.20& 0.54706& 1.85686& 2.95122& 5.48000& 0.62814 \\ \hline
2.25& 0.54055& 1.90138& 3.01863& 5.73958& 0.60553 \\ \hline
2.30& 0.53441& 1.94680& 3.08455& 6.00500& 0.58329 \\ \hline
2.35& 0.52861& 1.99311& 3.14897& 6.27625& 0.56148 \\ \hline
2.40& 0.52312& 2.04033& 3.21190& 6.55333& 0.54014 \\ \hline
2.45& 0.51792& 2.08846& 3.27335& 6.83625& 0.51931 \\ \hline
2.50& 0.51299& 2.13750& 3.33333& 7.12500& 0.49901 \\ \hline
2.75& 0.49181& 2.39657& 3.61194& 8.65625& 0.40623 \\ \hline
3.00& 0.47519& 2.67901& 3.85714& 10.33333& 0.32834 \\ \hline
3.25& 0.46192& 2.98511& 4.07229& 12.15625& 0.26451 \\ \hline
3.50& 0.45115& 3.31505& 4.26087& 14.12500& 0.21295 \\ \hline
3.75& 0.44231& 3.66894& 4.42623& 16.23958& 0.17166 \\ \hline
4.00& 0.43496& 4.04688& 4.57143& 18.50000& 0.13876 \\ \hline
4.25& 0.42878& 4.44891& 4.69919& 20.90625& 0.11256 \\ \hline
4.50& 0.42355& 4.87509& 4.81188& 23.45833& 0.09170 \\ \hline
4.75& 0.41908& 5.32544& 4.91156& 26.15625& 0.07505 \\ \hline
5.00& 0.41523& 5.80000& 5.00000& 29.00000& 0.06172 \\ \hline
5.25& 0.41189& 6.29878& 5.07869& 31.98958& 0.05100 \\ \hline
5.50& 0.40897& 6.82180& 5.14894& 35.12500& 0.04236 \\ \hline
5.75& 0.40642& 7.36906& 5.21182& 38.40625& 0.03536 \\ \hline
6.00& 0.40416& 7.94059& 5.26829& 41.83333& 0.02965 \\ \hline
6.25& 0.40216& 8.53637& 5.31915& 45.40625& 0.02498 \\ \hline
6.50& 0.40038& 9.15643& 5.36508& 49.12500& 0.02115 \\ \hline
6.75& 0.39879& 9.80077& 5.40667& 52.98958& 0.01798 \\ \hline
7.00& 0.39736& 10.46939& 5.44444& 57.00000& 0.01535 \\ \hline
7.25& 0.39607& 11.16229& 5.47883& 61.15625& 0.01316 \\ \hline
7.50& 0.39491& 11.87948& 5.51020& 65.45833& 0.01133 \\ \hline
7.75& 0.39385& 12.62095& 5.53890& 69.90625& 0.00979 \\ \hline
8.00& 0.39289& 13.38672& 5.56522& 74.50000& 0.00849 \\ \hline
8.25& 0.39201& 14.17678& 5.58939& 79.23958& 0.00739 \\ \hline
8.50& 0.39121& 14.99113& 5.61165& 84.12500& 0.00645 \\ \hline
8.75& 0.39048& 15.82978& 5.63218& 89.15625& 0.00565 \\ \hline
9.00& 0.38980& 16.69273& 5.65116& 94.33333& 0.00496 \\ \hline
9.25& 0.38918& 17.57997& 5.66874& 99.65625& 0.00437 \\ \hline
9.50& 0.38860& 18.49152& 5.68504& 105.12500& 0.00387 \\ \hline
9.75& 0.38807& 19.42736& 5.70019& 110.73958& 0.00343 \\ \hline
10.00& 0.38758& 20.38750& 5.71429& 116.50000& 0.00304 \\ \hline

\end{longtable}


\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{1.3}|D..{1.5}|D..{1.1}|D..{1.1}|D..{2.4}|D..{4.5}|D..{1.6}|}
%end{latexonly}
\caption{ Table for Shock Reflecting from suddenly closed end (k=1.4)%
\label{shock:tab:suddenlyClosed}}\\ \hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $} &
\multicolumn{1}{|c} {$\mathbf{M_y} $} &
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $} &
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $} &
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $}

\\\hline

\endfirsthead
\caption{ Table for Shock Reflecting from suddenly closed end (k=1.4)(continue)}%
\\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $} &
\multicolumn{1}{|c} {$\mathbf{M_y} $} &
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $} &
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $} &
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $}

\\\hline
\endhead
1.006& 0.99403& 0.01& 0.0& 1.004& 1.014& 1.00000
\\ \hline
1.012& 0.98812& 0.02& 0.0& 1.008& 1.028& 1.00000
\\ \hline
1.018& 0.98227& 0.03& 0.0& 1.012& 1.043& 0.99999
\\ \hline
1.024& 0.97647& 0.04& 0.0& 1.016& 1.057& 0.99998
\\ \hline
1.030& 0.97074& 0.05& 0.0& 1.020& 1.072& 0.99997
\\ \hline
1.037& 0.96506& 0.06& 0.0& 1.024& 1.087& 0.99994
\\ \hline
1.043& 0.95944& 0.07& 0.0& 1.028& 1.102& 0.99991
\\ \hline
1.049& 0.95387& 0.08& 0.0& 1.032& 1.118& 0.99986
\\ \hline
1.055& 0.94836& 0.09& 0.0& 1.036& 1.133& 0.99980
\\ \hline
1.062& 0.94291& 0.100& 0.0& 1.040& 1.149& 0.99973
\\ \hline
1.127& 0.89128& 0.200& 0.0& 1.082& 1.316& 0.99790
\\ \hline
1.196& 0.84463& 0.300& 0.0& 1.126& 1.502& 0.99317
\\ \hline
1.268& 0.80251& 0.400& 0.0& 1.171& 1.710& 0.98446
\\ \hline
1.344& 0.76452& 0.500& 0.0& 1.219& 1.941& 0.97099
\\ \hline
1.423& 0.73029& 0.600& 0.0& 1.269& 2.195& 0.95231
\\ \hline
1.505& 0.69946& 0.700& 0.0& 1.323& 2.475& 0.92832
\\ \hline
1.589& 0.67171& 0.800& 0.0& 1.381& 2.780& 0.89918
\\ \hline
1.676& 0.64673& 0.900& 0.0& 1.442& 3.112& 0.86537
\\ \hline
1.766& 0.62425& 1.000& 0.0& 1.506& 3.473& 0.82755
\\ \hline
1.858& 0.60401& 1.100& 0.0& 1.576& 3.862& 0.78652 \\
\hline
1.952& 0.58578& 1.200& 0.0& 1.649& 4.280& 0.74316 \\
\hline
2.048& 0.56935& 1.300& 0.0& 1.727& 4.728& 0.69834 \\
\hline
2.146& 0.55453& 1.400& 0.0& 1.810& 5.206& 0.65290 \\
\hline
2.245& 0.54114& 1.500& 0.0& 1.897& 5.715& 0.60761 \\
\hline
2.346& 0.52904& 1.600& 0.0& 1.990& 6.256& 0.56312 \\
\hline
2.448& 0.51808& 1.700& 0.0& 2.087& 6.827& 0.51996 \\
\hline
2.552& 0.50814& 1.800& 0.0& 2.189& 7.431& 0.47855 \\
\hline
2.656& 0.49912& 1.900& 0.0& 2.297& 8.066& 0.43921 \\
\hline
2.762& 0.49092& 2.000& 0.0& 2.410& 8.734& 0.40213 \\
\hline
3.859& 0.43894& 3.000& 0.0& 3.831& 17.21& 0.15637 \\
\hline
5.000& 0.41523& 4.000& 0.0& 5.800& 29.00& 0.061716 \\
\hline
6.162& 0.40284& 5.000& 0.0& 8.325& 44.14& 0.026517 \\
\hline
7.336& 0.39566& 6.000& 0.0& 11.41& 62.62& 0.012492 \\
\hline
8.517& 0.39116& 7.000& 0.0& 15.05& 84.47& 0.00639 \\
\hline
9.703& 0.38817& 8.000& 0.0& 19.25& 1.1E+2& 0.00350 \\
\hline
10.89& 0.38608& 9.000& 0.0& 24.01& 1.4E+2& 0.00204 \\
\hline
12.08& 0.38457& 10.00& 0.0& 29.33& 1.7E+2& 0.00125 \\
\hline
\end{longtable}


\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{1.3}|D..{1.6}|D..{1.2}|D..{1.3}|D..{2.5}|D..{1.6}|D..{1.6}|}
%end{latexonly}
\caption{Table for Shock Propagating From suddenly \textbf{open} valve (k=1.4)%
\label{shock:tab:suddenlyOpened}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $} &
\multicolumn{1}{|c} {$\mathbf{M_y} $} &
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $} &
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $} &
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $}

\\\hline

\endfirsthead
\caption{ Table for Shock Propagating from suddenly \textbf{open} valve %
(k=1.4)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $} &
\multicolumn{1}{|c} {$\mathbf{M_y} $} &
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $} &
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $} &
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $}

\\\hline
\endhead
1.006& 0.99402& 0.0& 0.01& 1.004& 1.014& 1.00000
\\ \hline
1.012& 0.98807& 0.0& 0.02& 1.008& 1.028& 1.00000
\\ \hline
1.018& 0.98216& 0.0& 0.03& 1.012& 1.043& 0.99999
\\ \hline
1.024& 0.97629& 0.0& 0.04& 1.016& 1.058& 0.99998
\\ \hline
1.031& 0.97045& 0.0& 0.05& 1.020& 1.073& 0.99996
\\ \hline
1.037& 0.96465& 0.0& 0.06& 1.024& 1.088& 0.99994
\\ \hline
1.044& 0.95888& 0.0& 0.07& 1.029& 1.104& 0.99990
\\ \hline
1.050& 0.95315& 0.0& 0.08& 1.033& 1.120& 0.99985
\\ \hline
1.057& 0.94746& 0.0& 0.09& 1.037& 1.136& 0.99979
\\ \hline
1.063& 0.94180& 0.0& 0.10& 1.041& 1.152& 0.99971
\\ \hline
1.133& 0.88717& 0.0& 0.20& 1.086& 1.331& 0.99763
\\ \hline
1.210& 0.83607& 0.0& 0.30& 1.134& 1.541& 0.99181
\\ \hline
1.295& 0.78840& 0.0& 0.40& 1.188& 1.791& 0.98019
\\ \hline
1.390& 0.74403& 0.0& 0.50& 1.248& 2.087& 0.96069
\\ \hline
1.495& 0.70283& 0.0& 0.60& 1.317& 2.441& 0.93133
\\ \hline
1.613& 0.66462& 0.0& 0.70& 1.397& 2.868& 0.89039
\\ \hline
1.745& 0.62923& 0.0& 0.80& 1.491& 3.387& 0.83661
\\ \hline
1.896& 0.59649& 0.0& 0.90& 1.604& 4.025& 0.76940
\\ \hline
2.068& 0.56619& 0.0& 1.00& 1.744& 4.823& 0.68907
\\ \hline
2.269& 0.53817& 0.0& 1.100& 1.919& 5.840& 0.59699 \\
\hline
2.508& 0.51223& 0.0& 1.200& 2.145& 7.171& 0.49586 \\
\hline
2.799& 0.48823& 0.0& 1.300& 2.450& 8.975& 0.38974 \\
\hline
3.167& 0.46599& 0.0& 1.400& 2.881& 11.54& 0.28412 \\
\hline
3.658& 0.44536& 0.0& 1.500& 3.536& 15.45& 0.18575 \\
\hline
4.368& 0.42622& 0.0& 1.600& 4.646& 22.09& 0.10216 \\
\hline
5.551& 0.40843& 0.0& 1.700& 6.931& 35.78& 0.040812 \\
\hline
8.293& 0.39187& 0.0& 1.800& 14.32& 80.07& 0.00721 \\
\hline
8.821& 0.39028& 0.0& 1.810& 16.07& 90.61& 0.00544 \\
\hline
9.457& 0.38870& 0.0& 1.820& 18.33& 1.0E+2& 0.00395 \\
\hline
10.24& 0.38713& 0.0& 1.830& 21.35& 1.2E+2& 0.00272 \\
\hline
11.25& 0.38557& 0.0& 1.840& 25.57& 1.5E+2& 0.00175 \\
\hline
12.62& 0.38402& 0.0& 1.850& 31.92& 1.9E+2& 0.00101 \\
\hline
14.62& 0.38248& 0.0& 1.860& 42.53& 2.5E+2& 0.000497 \\
\hline
17.99& 0.38096& 0.0& 1.870& 63.84& 3.8E+2& 0.000181 \\
\hline
25.62& 0.37944& 0.0& 1.880& 1.3E+2& 7.7E+2& 3.18E-5 \\
\hline
61.31& 0.37822& 0.0& 1.888& 7.3E+2& 4.4E+3& 0.0 \\
\hline
62.95& 0.37821& 0.0& 1.888& 7.7E+2& 4.6E+3& 0.0 \\
\hline
64.74& 0.37820& 0.0& 1.888& 8.2E+2& 4.9E+3& 0.0 \\
\hline
66.69& 0.37818& 0.0& 1.888& 8.7E+2& 5.2E+3& 0.0 \\
\hline
68.83& 0.37817& 0.0& 1.888& 9.2E+2& 5.5E+3& 0.0 \\
\hline
71.18& 0.37816& 0.0& 1.889& 9.9E+2& 5.9E+3& 0.0 \\
\hline
73.80& 0.37814& 0.0& 1.889& 1.1E+3& 6.4E+3& 0.0 \\
\hline
76.72& 0.37813& 0.0& 1.889& 1.1E+3& 6.9E+3& 0.0 \\
\hline
80.02& 0.37812& 0.0& 1.889& 1.2E+3& 7.5E+3& 0.0 \\
\hline
83.79& 0.37810& 0.0& 1.889& 1.4E+3& 8.2E+3& 0.0 \\
\hline
\end{longtable}


\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{1.4}|D..{1.6}|D..{1.1}|D..{1.3}|D..{1.4}|D..{2.4}|D..{1.6}|}
%end{latexonly}
\caption{ Table for Shock Propagating from suddenly \textbf{open}
valve (k=1.3) \label{shock:tab:suddenlyOpened1.3}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $} &
\multicolumn{1}{|c} {$\mathbf{M_y} $} &
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $} &
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $} &
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $}

\\\hline

\endfirsthead
\caption{ Table for Shock Propagating from suddenly \textbf{open} valve %
(k=1.3)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x} $} &
\multicolumn{1}{|c} {$\mathbf{M_y} $} &
\multicolumn{1}{|c} {$\mathbf{{M_x}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{M_y}^{'}} $} &
\multicolumn{1}{|c} {$\mathbf{{T_y} \over {T_x}} $} &
\multicolumn{1}{|c} {$\mathbf{{P_y} \over {P_x}} $} &
\multicolumn{1}{|c|} {$\mathbf{{P_0}_y \over {P_0}_x } $}

\\\hline
\endhead
1.0058& 0.99427& 0.0& 0.010& 1.003& 1.013& 1.00000
\\ \hline
1.012& 0.98857& 0.0& 0.020& 1.006& 1.026& 1.00000
\\ \hline
1.017& 0.98290& 0.0& 0.030& 1.009& 1.040& 0.99999
\\ \hline
1.023& 0.97726& 0.0& 0.040& 1.012& 1.054& 0.99998
\\ \hline
1.029& 0.97166& 0.0& 0.050& 1.015& 1.067& 0.99997
\\ \hline
1.035& 0.96610& 0.0& 0.060& 1.018& 1.081& 0.99995
\\ \hline
1.042& 0.96056& 0.0& 0.070& 1.021& 1.096& 0.99991
\\ \hline
1.048& 0.95506& 0.0& 0.080& 1.024& 1.110& 0.99987
\\ \hline
1.054& 0.94959& 0.0& 0.090& 1.028& 1.125& 0.99981
\\ \hline
1.060& 0.94415& 0.0& 0.100& 1.031& 1.140& 0.99975
\\ \hline
1.126& 0.89159& 0.0& 0.200& 1.063& 1.302& 0.99792
\\ \hline
1.197& 0.84227& 0.0& 0.300& 1.098& 1.489& 0.99288
\\ \hline
1.275& 0.79611& 0.0& 0.400& 1.136& 1.706& 0.98290
\\ \hline
1.359& 0.75301& 0.0& 0.500& 1.177& 1.959& 0.96631
\\ \hline
1.452& 0.71284& 0.0& 0.600& 1.223& 2.252& 0.94156
\\ \hline
1.553& 0.67546& 0.0& 0.700& 1.274& 2.595& 0.90734
\\ \hline
1.663& 0.64073& 0.0& 0.800& 1.333& 2.997& 0.86274
\\ \hline
1.785& 0.60847& 0.0& 0.900& 1.400& 3.471& 0.80734
\\ \hline
1.919& 0.57853& 0.0& 1.00& 1.478& 4.034& 0.74136
\\ \hline
2.069& 0.55074& 0.0& 1.100& 1.570& 4.707& 0.66575 \\
\hline
2.236& 0.52495& 0.0& 1.200& 1.681& 5.522& 0.58223 \\
\hline
2.426& 0.50100& 0.0& 1.300& 1.815& 6.523& 0.49333 \\
\hline
2.644& 0.47875& 0.0& 1.400& 1.980& 7.772& 0.40226 \\
\hline
2.898& 0.45807& 0.0& 1.500& 2.191& 9.367& 0.31281 \\
\hline
3.202& 0.43882& 0.0& 1.600& 2.467& 11.46& 0.22904 \\
\hline
3.576& 0.42089& 0.0& 1.700& 2.842& 14.32& 0.15495 \\
\hline
4.053& 0.40418& 0.0& 1.800& 3.381& 18.44& 0.093988 \\
\hline
4.109& 0.40257& 0.0& 1.810& 3.448& 18.95& 0.088718 \\
\hline
4.166& 0.40097& 0.0& 1.820& 3.519& 19.49& 0.083607 \\
\hline
4.225& 0.39938& 0.0& 1.830& 3.592& 20.05& 0.078654 \\
\hline
4.286& 0.39780& 0.0& 1.840& 3.669& 20.64& 0.073863 \\
\hline
4.349& 0.39624& 0.0& 1.850& 3.749& 21.25& 0.069233 \\
\hline
4.415& 0.39468& 0.0& 1.860& 3.834& 21.90& 0.064766 \\
\hline
4.482& 0.39314& 0.0& 1.870& 3.923& 22.58& 0.060462 \\
\hline
4.553& 0.39160& 0.0& 1.880& 4.016& 23.30& 0.056322 \\
\hline
4.611& 0.39037& 0.0& 1.888& 4.096& 23.91& 0.053088 \\
\hline
4.612& 0.39035& 0.0& 1.888& 4.097& 23.91& 0.053053 \\
\hline
4.613& 0.39034& 0.0& 1.888& 4.098& 23.92& 0.053018 \\
\hline
4.613& 0.39033& 0.0& 1.888& 4.099& 23.93& 0.052984 \\
\hline
4.614& 0.39031& 0.0& 1.888& 4.099& 23.93& 0.052949 \\
\hline
4.615& 0.39030& 0.0& 1.889& 4.100& 23.94& 0.052914 \\
\hline
4.615& 0.39029& 0.0& 1.889& 4.101& 23.95& 0.052879 \\
\hline
4.616& 0.39027& 0.0& 1.889& 4.102& 23.95& 0.052844 \\
\hline
4.616& 0.39026& 0.0& 1.889& 4.103& 23.96& 0.052809 \\
\hline
4.617& 0.39025& 0.0& 1.889& 4.104& 23.97& 0.052775 \\
\hline
\end{longtable}


\chapter{Isothermal Flow}
\label{chap:Isothermal}

\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|}
%end{latexonly}
\caption{ The Isothermal Flow basic parameters \label{isothermal:tab:basic}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $} &
\multicolumn{1}{|c} {$\mathbf{4fL \over D} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho^{*}} $} &
\multicolumn{1}{|c|} {$\mathbf{T_0 \over {T_0}^{*}} $}

\\\hline

\endfirsthead
\caption{ The Isothermal Flow basic parameters (continue)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $} &
\multicolumn{1}{|c} {$\mathbf{4fL \over D} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho^{*}} $} &
\multicolumn{1}{|c|} {$\mathbf{T_0 \over {T_0}^{*}} $}

\\\hline
\endhead
0.03000& 785.97& 28.1718& 17.6651& 28.1718& 0.87516 \\ \hline
0.04000& 439.33& 21.1289& 13.2553& 21.1289& 0.87528 \\ \hline
0.05000& 279.06& 16.9031& 10.6109& 16.9031& 0.87544 \\ \hline
0.06000& 192.12& 14.0859& 8.8493& 14.0859& 0.87563 \\ \hline
0.07000& 139.79& 12.0736& 7.5920& 12.0736& 0.87586 \\ \hline
0.08000& 105.89& 10.5644& 6.6500& 10.5644& 0.87612 \\ \hline
0.09000& 82.7040& 9.3906& 5.9181& 9.3906& 0.87642 \\ \hline
0.10000& 66.1599& 8.4515& 5.3334& 8.4515& 0.87675 \\ \hline
0.20000& 13.9747& 4.2258& 2.7230& 4.2258& 0.88200 \\ \hline
0.25000& 7.9925& 3.3806& 2.2126& 3.3806& 0.88594 \\ \hline
0.30000& 4.8650& 2.8172& 1.8791& 2.8172& 0.89075 \\ \hline
0.35000& 3.0677& 2.4147& 1.6470& 2.4147& 0.89644 \\ \hline
0.40000& 1.9682& 2.1129& 1.4784& 2.1129& 0.90300 \\ \hline
0.45000& 1.2668& 1.8781& 1.3524& 1.8781& 0.91044 \\ \hline
0.50000& 0.80732& 1.6903& 1.2565& 1.6903& 0.91875 \\ \hline
0.55000& 0.50207& 1.5366& 1.1827& 1.5366& 0.92794 \\ \hline
0.60000& 0.29895& 1.4086& 1.1259& 1.4086& 0.93800 \\ \hline
0.65000& 0.16552& 1.3002& 1.0823& 1.3002& 0.94894 \\ \hline
0.70000& 0.08085& 1.2074& 1.0495& 1.2074& 0.96075 \\ \hline
0.75000& 0.03095& 1.1269& 1.0255& 1.1269& 0.97344 \\ \hline
0.80000& 0.00626& 1.056& 1.009& 1.056& 0.98700 \\ \hline
0.81000& 0.00371& 1.043& 1.007& 1.043& 0.98982 \\ \hline
0.81879& 0.00205& 1.032& 1.005& 1.032& 0.99232 \\ \hline
0.82758& 0.000896& 1.021& 1.003& 1.021& 0.99485 \\ \hline
0.83637& 0.000220& 1.011& 1.001& 1.011& 0.99741 \\ \hline
0.84515& 0.0& 1.000& 1.000& 1.000& 1.000 \\ \hline
\end{longtable}
\begin{verbatim}
To produce this table rum program with:\\
variableName = machV;
int isRange = yes;
whatInfo = infoStandard ;
\end{verbatim}

\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{-1}|D..{2.7}|D..{3.7}|D..{2.7}|D..{2.7}|}
%end{latexonly}
\caption{ The flow parameters for unchoked flow
\label{isothermal:tab:unchoked}}\\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in} \mathbf{M_1} $} &
\multicolumn{1}{|c} {$\mathbf{M_2} $} &
\multicolumn{1}{|c}{$ \mathbf{\left.{4fL_{max} \over D }\right|_{1} } $ } &
\multicolumn{1}{|c}{$ \mathbf{4fL \over D } $ } &
\multicolumn{1}{|c|}{$ \mathbf{P_2 \over P_1} $ }
\\\hline

\endfirsthead
\endhead
0.7272& 0.84095& 0.05005& 0.05000& 0.10000 \\ \hline
0.6934& 0.83997& 0.08978& 0.08971& 0.10000 \\ \hline
0.6684& 0.84018& 0.12949& 0.12942& 0.10000 \\ \hline
0.6483& 0.83920& 0.16922& 0.16912& 0.10000 \\ \hline
0.5914& 0.83889& 0.32807& 0.32795& 0.10000 \\ \hline
0.5807& 0.83827& 0.36780& 0.36766& 0.10000 \\ \hline
0.5708& 0.83740& 0.40754& 0.40737& 0.10000 \\ \hline
\end{longtable}

\chapter{ Fanno Flow}
\label{chap:fanno}

\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{2.3}|D..{3.5}|D..{2.5}|D..{1.5}|D..{1.4}|D..{1.4}|D..{1.5}|}
%end{latexonly}
\caption{ Fanno Flow Standard basic Table \label{fanno:tab:basic}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $} &
\multicolumn{1}{|c} {$\mathbf{4fL \over D} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{U \over {U}^{*}} $} &
\multicolumn{1}{|c|} {$\mathbf{T \over T^{*}} $}

\\\hline

\endfirsthead
\endhead
0.030& 787.08& 36.5116& 19.3005& 30.4318& 0.03286& 1.1998 \\ \hline
0.040& 440.35& 27.3817& 14.4815& 22.8254& 0.04381& 1.1996 \\ \hline
0.050& 280.02& 21.9034& 11.5914& 18.2620& 0.05476& 1.1994 \\ \hline
0.060& 193.03& 18.2508& 9.6659& 15.2200& 0.06570& 1.1991 \\ \hline
0.070& 140.66& 15.6416& 8.2915& 13.0474& 0.07664& 1.1988 \\ \hline
0.080& 106.72& 13.6843& 7.2616& 11.4182& 0.08758& 1.1985 \\ \hline
0.090& 83.4961& 12.1618& 6.4613& 10.1512& 0.09851& 1.1981 \\ \hline
0.100& 66.9216& 10.9435& 5.8218& 9.1378& 0.10944& 1.1976 \\ \hline
0.200& 14.5333& 5.4554& 2.9635& 4.5826& 0.21822& 1.1905 \\ \hline
0.250& 8.4834& 4.3546& 2.4027& 3.6742& 0.27217& 1.1852 \\ \hline
0.300& 5.2993& 3.6191& 2.0351& 3.0702& 0.32572& 1.1788 \\ \hline
0.350& 3.4525& 3.0922& 1.7780& 2.6400& 0.37879& 1.1713 \\ \hline
0.400& 2.3085& 2.6958& 1.5901& 2.3184& 0.43133& 1.1628 \\ \hline
0.450& 1.5664& 2.3865& 1.4487& 2.0693& 0.48326& 1.1533 \\ \hline
0.500& 1.0691& 2.1381& 1.3398& 1.8708& 0.53452& 1.1429 \\ \hline
0.550& 0.72805& 1.9341& 1.2549& 1.7092& 0.58506& 1.1315 \\ \hline
0.600& 0.49082& 1.7634& 1.1882& 1.5753& 0.63481& 1.1194 \\ \hline
0.650& 0.32459& 1.6183& 1.1356& 1.4626& 0.68374& 1.1065 \\ \hline
0.700& 0.20814& 1.4935& 1.0944& 1.3665& 0.73179& 1.0929 \\ \hline
0.750& 0.12728& 1.3848& 1.0624& 1.2838& 0.77894& 1.0787 \\ \hline
0.800& 0.07229& 1.2893& 1.0382& 1.2119& 0.82514& 1.0638 \\ \hline
0.850& 0.03633& 1.2047& 1.0207& 1.1489& 0.87037& 1.0485 \\ \hline
0.900& 0.01451& 1.1291& 1.0089& 1.0934& 0.91460& 1.0327 \\ \hline
0.950& 0.00328& 1.061& 1.002& 1.044& 0.95781& 1.017 \\ \hline
1.000& 0.0& 1.00000& 1.00000& 1.00000& 1.000& 1.00000 \\ \hline
2.000& 0.30500& 0.40825& 1.688& 0.61237& 1.633& 0.66667 \\ \hline
3.000& 0.52216& 0.21822& 4.235& 0.50918& 1.964& 0.42857 \\ \hline
4.000& 0.63306& 0.13363& 10.72& 0.46771& 2.138& 0.28571 \\ \hline
5.000& 0.69380& 0.089443& 25.00& 0.44721& 2.236& 0.20000 \\ \hline
6.000& 0.72988& 0.063758& 53.18& 0.43568& 2.295& 0.14634 \\ \hline
7.000& 0.75280& 0.047619& 1.0E+2& 0.42857& 2.333& 0.11111 \\ \hline
8.000& 0.76819& 0.036860& 1.9E+2& 0.42390& 2.359& 0.086957 \\ \hline
9.000& 0.77899& 0.029348& 3.3E+2& 0.42066& 2.377& 0.069767 \\ \hline
10.00& 0.78683& 0.023905& 5.4E+2& 0.41833& 2.390& 0.057143 \\ \hline
20.00& 0.81265& 0.00609& 1.5E+4& 0.41079& 2.434& 0.014815 \\ \hline
25.00& 0.81582& 0.00390& 4.6E+4& 0.40988& 2.440& 0.00952 \\ \hline
30.00& 0.81755& 0.00271& 1.1E+5& 0.40938& 2.443& 0.00663 \\ \hline
35.00& 0.81860& 0.00200& 2.5E+5& 0.40908& 2.445& 0.00488 \\ \hline
40.00& 0.81928& 0.00153& 4.8E+5& 0.40889& 2.446& 0.00374 \\ \hline
45.00& 0.81975& 0.00121& 8.6E+5& 0.40875& 2.446& 0.00296 \\ \hline
50.00& 0.82008& 0.000979& 1.5E+6& 0.40866& 2.447& 0.00240 \\ \hline
55.00& 0.82033& 0.000809& 2.3E+6& 0.40859& 2.447& 0.00198 \\ \hline
60.00& 0.82052& 0.000680& 3.6E+6& 0.40853& 2.448& 0.00166 \\ \hline
65.00& 0.82066& 0.000579& 5.4E+6& 0.40849& 2.448& 0.00142 \\ \hline
70.00& 0.82078& 0.000500& 7.8E+6& 0.40846& 2.448& 0.00122 \\ \hline
\end{longtable}


\chapter{Rayleigh Flow }


\setlongtables
\begin{htmlonly}
\begin{longtable}
{l|l|l|l|l|l}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{2.3}|D..{2.6}|D..{2.5}|D..{2.6}|D..{2.5}|D..{2.5}|}
%end{latexonly}
\caption{ Rayleigh Flow k=1.4 \label{ray:tab:basic}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $} &
\multicolumn{1}{|c} {$\mathbf{T \over T^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{T_0 \over {T_0}^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $} &
\multicolumn{1}{|c|} {$\mathbf{\rho^{*} \over \rho} $}

\\\hline

\endfirsthead
\caption{ Rayleigh Flow k=1.4 (continue)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $} &
\multicolumn{1}{|c} {$\mathbf{T \over T^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{T_0 \over {T_0}^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P^{*}} $} &
\multicolumn{1}{|c} {$\mathbf{P_0 \over {P_0}^{*}} $} &
\multicolumn{1}{|c|} {$\mathbf{\rho^{*} \over \rho} $}

\\\hline
\endhead
0.03& 0.00517& 0.00431& 2.397& 1.267& 0.00216 \\ \hline
0.040& 0.00917& 0.00765& 2.395& 1.266& 0.00383 \\ \hline
0.050& 0.014300& 0.011922& 2.392& 1.266& 0.00598 \\ \hline
0.060& 0.020529& 0.017119& 2.388& 1.265& 0.00860 \\ \hline
0.070& 0.027841& 0.023223& 2.384& 1.264& 0.011680 \\ \hline
0.080& 0.036212& 0.030215& 2.379& 1.262& 0.015224 \\ \hline
0.090& 0.045616& 0.038075& 2.373& 1.261& 0.019222 \\ \hline
0.100& 0.056020& 0.046777& 2.367& 1.259& 0.023669 \\ \hline
0.20& 0.20661& 0.17355& 2.273& 1.235& 0.090909 \\ \hline
0.25& 0.30440& 0.25684& 2.207& 1.218& 0.13793 \\ \hline
0.30& 0.40887& 0.34686& 2.131& 1.199& 0.19183 \\ \hline
0.35& 0.51413& 0.43894& 2.049& 1.178& 0.25096 \\ \hline
0.40& 0.61515& 0.52903& 1.961& 1.157& 0.31373 \\ \hline
0.45& 0.70804& 0.61393& 1.870& 1.135& 0.37865 \\ \hline
0.50& 0.79012& 0.69136& 1.778& 1.114& 0.44444 \\ \hline
0.55& 0.85987& 0.75991& 1.686& 1.094& 0.51001 \\ \hline
0.60& 0.91670& 0.81892& 1.596& 1.075& 0.57447 \\ \hline
0.65& 0.96081& 0.86833& 1.508& 1.058& 0.63713 \\ \hline
0.70& 0.99290& 0.90850& 1.423& 1.043& 0.69751 \\ \hline
0.75& 1.014& 0.94009& 1.343& 1.030& 0.75524 \\ \hline
0.80& 1.025& 0.96395& 1.266& 1.019& 0.81013 \\ \hline
0.85& 1.029& 0.98097& 1.193& 1.011& 0.86204 \\ \hline
0.90& 1.025& 0.99207& 1.125& 1.005& 0.91097 \\ \hline
0.95& 1.015& 0.99814& 1.060& 1.001& 0.95693 \\ \hline
1.0& 1.00& 1.00& 1.00& 1.00& 1.000 \\ \hline
1.1& 0.96031& 0.99392& 0.89087& 1.005& 1.078 \\ \hline
1.2& 0.91185& 0.97872& 0.79576& 1.019& 1.146 \\ \hline
1.3& 0.85917& 0.95798& 0.71301& 1.044& 1.205 \\ \hline
1.4& 0.80539& 0.93425& 0.64103& 1.078& 1.256 \\ \hline
1.5& 0.75250& 0.90928& 0.57831& 1.122& 1.301 \\ \hline
1.6& 0.70174& 0.88419& 0.52356& 1.176& 1.340 \\ \hline
1.7& 0.65377& 0.85971& 0.47562& 1.240& 1.375 \\ \hline
1.8& 0.60894& 0.83628& 0.43353& 1.316& 1.405 \\ \hline
1.9& 0.56734& 0.81414& 0.39643& 1.403& 1.431 \\ \hline
2.0& 0.52893& 0.79339& 0.36364& 1.503& 1.455 \\ \hline
2.1& 0.49356& 0.77406& 0.33454& 1.616& 1.475 \\ \hline
2.2& 0.46106& 0.75613& 0.30864& 1.743& 1.494 \\ \hline
2.3& 0.43122& 0.73954& 0.28551& 1.886& 1.510 \\ \hline
2.4& 0.40384& 0.72421& 0.26478& 2.045& 1.525 \\ \hline
2.5& 0.37870& 0.71006& 0.24615& 2.222& 1.538 \\ \hline
2.6& 0.35561& 0.69700& 0.22936& 2.418& 1.550 \\ \hline
2.7& 0.33439& 0.68494& 0.21417& 2.634& 1.561 \\ \hline
2.8& 0.31486& 0.67380& 0.20040& 2.873& 1.571 \\ \hline
2.9& 0.29687& 0.66350& 0.18788& 3.136& 1.580 \\ \hline
3.0& 0.28028& 0.65398& 0.17647& 3.424& 1.588 \\ \hline
3.5& 0.21419& 0.61580& 0.13223& 5.328& 1.620 \\ \hline
4.0& 0.16831& 0.58909& 0.10256& 8.227& 1.641 \\ \hline
4.5& 0.13540& 0.56982& 0.081772& 12.50& 1.656 \\ \hline
5.0& 0.11111& 0.55556& 0.066667& 18.63& 1.667 \\ \hline
5.5& 0.092719& 0.54473& 0.055363& 27.21& 1.675 \\ \hline
6.0& 0.078487& 0.53633& 0.046693& 38.95& 1.681 \\ \hline
6.5& 0.067263& 0.52970& 0.039900& 54.68& 1.686 \\ \hline
7.0& 0.058264& 0.52438& 0.034483& 75.41& 1.690 \\ \hline
7.5& 0.050943& 0.52004& 0.030094& 1.0E+2& 1.693 \\ \hline
8.0& 0.044910& 0.51647& 0.026490& 1.4E+2& 1.695 \\ \hline
8.5& 0.039883& 0.51349& 0.023495& 1.8E+2& 1.698 \\ \hline
9.0& 0.035650& 0.51098& 0.020979& 2.3E+2& 1.699 \\ \hline
9.5& 0.032053& 0.50885& 0.018846& 3.0E+2& 1.701 \\ \hline
10.0& 0.028972& 0.50702& 0.017021& 3.8E+2& 1.702 \\ \hline
20.0& 0.00732& 0.49415& 0.00428& 1.1E+4& 1.711 \\ \hline
25.0& 0.00469& 0.49259& 0.00274& 3.2E+4& 1.712 \\ \hline
30.0& 0.00326& 0.49174& 0.00190& 8.0E+4& 1.713 \\ \hline
35.0& 0.00240& 0.49122& 0.00140& 1.7E+5& 1.713 \\ \hline
40.0& 0.00184& 0.49089& 0.00107& 3.4E+5& 1.714 \\ \hline
45.0& 0.00145& 0.49066& 0.000846& 6.0E+5& 1.714 \\ \hline
50.0& 0.00117& 0.49050& 0.000686& 1.0E+6& 1.714 \\ \hline
55.0& 0.000971& 0.49037& 0.000567& 1.6E+6& 1.714 \\ \hline
60.0& 0.000816& 0.49028& 0.000476& 2.5E+6& 1.714 \\ \hline
65.0& 0.000695& 0.49021& 0.000406& 3.8E+6& 1.714 \\ \hline
70.0& 0.000600& 0.49015& 0.000350& 5.5E+6& 1.714 \\ \hline
\end{longtable}

\chapter{Prandtl-Meyer Function}
\label{chap:Prandtl-Meyer}

\htmetainfo{description}{free prandtl-meyer textbook pdf in HTML open
source }
\htmetainfo{keywords}{Prandtl-Meyer function,
gas dynamics calculator, detached shock, Taylor--Maccoll flow }
\parindent 25pt


\setlongtables
\begin{htmlonly}
\begin{longtable}{|l|l|l|l|l|l|}
\end{htmlonly}
%begin{latexonly}
\begin{longtable}
{|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|D..{2.5}|}
%end{latexonly}
\caption{ ?? \label{?:tab:?}}\\
\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}
&
\multicolumn{1}{|c} {$\mathbf{\nu} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P_0} $} &
\multicolumn{1}{|c} {$\mathbf{T \over T_0} $} &
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho_0} $} &
\multicolumn{1}{|c|} {$\mathbf{\mu } $}

\\\hline

\endfirsthead
\caption{ ?? (continue)} \\\hline
\multicolumn{1}{|c} {$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M} $}
&
\multicolumn{1}{|c} {$\mathbf{\nu} $} &
\multicolumn{1}{|c} {$\mathbf{P \over P_0} $} &
\multicolumn{1}{|c} {$\mathbf{T \over T_0} $} &
\multicolumn{1}{|c} {$\mathbf{\rho \over \rho_0} $} &
\multicolumn{1}{|c|} {$\mathbf{\mu } $}

\\\hline
\endhead
1.0000& 0.0& 0.52828& 0.83333& 0.63394& 45.00
\\ \hline
1.100& 1.336& 0.46835& 0.80515& 0.58170& 47.73
\\ \hline
1.200& 3.558& 0.41238& 0.77640& 0.53114& 50.19
\\ \hline
1.300& 6.170& 0.36091& 0.74738& 0.48290& 52.43
\\ \hline
1.400& 8.987& 0.31424& 0.71839& 0.43742& 54.46
\\ \hline
1.500& 11.91& 0.27240& 0.68966& 0.39498& 56.31
\\ \hline
1.600& 14.86& 0.23527& 0.66138& 0.35573& 57.99
\\ \hline
1.700& 17.81& 0.20259& 0.63371& 0.31969& 59.53
\\ \hline
1.800& 20.73& 0.17404& 0.60680& 0.28682& 60.95
\\ \hline
1.900& 23.59& 0.14924& 0.58072& 0.25699& 62.24
\\ \hline
2.000& 26.38& 0.12780& 0.55556& 0.23005& 63.43
\\ \hline
3.000& 49.76& 0.027224& 0.35714& 0.076226& 71.57
\\ \hline
4.000& 65.78& 0.00659& 0.23810& 0.027662& 75.96
\\ \hline
5.000& 76.92& 0.00189& 0.16667& 0.011340& 78.69
\\ \hline
6.000& 84.96& 0.000633& 0.12195& 0.00519& 80.54
\\ \hline
7.000& 90.97& 0.000242& 0.092593& 0.00261& 81.87
\\ \hline
8.000& 95.62& 0.000102& 0.072464& 0.00141& 82.87
\\ \hline
9.000& 99.32& 4.74E-05& 0.058140& 0.000815& 83.66
\\ \hline
10.00& 1.0E+02& 2.36E-05& 0.047619& 0.000495& 84.29
\\ \hline
\end{longtable}

\end{document}


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