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\begin{center}
{\bf EML 4711/5710 \hfill Gas Dynamics \hfill 10/14/02}\\
{\it Closed notes \hfill Van Dommelen \hfill 3:20-4:40 pm}
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\begin{itemize}
\item The book and a calculator may be used.
\item Show all reasoning and intermediate results leading to your
  answer, or credit will be lost.
\item Where tables are used, list table and column number.
\item Unless otherwise noted, the gas is air, $R$ = 287 m$^2$/sec$^2$
  K = 1716 ft$^2$/sec$^2$ R.
\item You must use only the unit system (SI or British) used in the
  question to answer them. 1 BTU = 778 ft lbf,
  1 slug = 32.2 lbm.
\item Standard sea level conditions are $p$ = 101,325 Pa =
  2116 lbf/ft$^2$, $T$ = 288 K = 518.4 R.

\end{itemize}

\begin{enumerate}

\item A pitot probe on a plane flying at sea level measures a pitot
pressure $p_p$ of 150 10$^3$ N/m$^2$.  Find the temperature right
before the tip of the tube.  Assume atmospheric conditions are
standard.

\begin{rawhtml}
<A HREF="figures/1.gif">Solution.</A>
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\item Air blows down a converging-diverging duct from a big
pressure vessel at 3 atm pressure.  A shock occurs somewhere in the
duct at a location that makes the total pressure behind the shock
equal to ambient (1 atm).  Find the static pressures immediately
before and immediately behind this shock.

\begin{rawhtml}
<A HREF="figures/2.gif">Solution.</A>
\end{rawhtml}

\item Air enters a constant diameter pipe with a Mach number of 0.5
and a static temperature of 288 K.  Find the maximum amount of heat
that can be added to each unit mass flowing through the pipe.

\begin{rawhtml}
<A HREF="figures/3.gif">Solution.</A>
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\item Air blows into a constant diameter pipe with a velocity of 228
ft/sec, at a temperature of 540 R and a pressure of 2 atm.  It exits
the pipe at ambient pressure (1 atm).  If the length of the pipe is 60
ft and the friction coefficient is 0.005, find the exit Mach number,
the total-pressure loss in the pipe and the required diameter of the
pipe.

\begin{rawhtml}
<A HREF="figures/4.gif">Solution.</A>
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\end{enumerate}

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