root/trunk/matml/transport/problems/drainup/drainup.tex

\documentclass{article}
\usepackage{fullpage,pstricks}
\begin{document}
\begin{enumerate}
\item Tank drainage through a rising tube

  A large tank of water 1.5 meters deep drains through a tube from the
  bottom/side 1 m long and 0.1 m in diameter, which rises 0.25 m from the
  bottom, as shown below.

  \begin{center}
    \input{funnytank}
  \end{center}

  \begin{enumerate}
  \item Calculate the velocities and pressures just inside the two ends of the
    tube where the water is flowing out.  (Atmospheric pressure is 101300
    $\rm\frac{N}{m^2}$.)
  \item Calculate the thickness of the boundary layer at the exit of the tube
    using the laminar and turbulent flow expressions.  Is the Bernoulli
    equation likely to be accurate?
  \item Using the laminar flow boundary layer expression, calculate the shear
    stress on the tube wall 10 cm from its entrance.
  \end{enumerate}
\end{enumerate}
\end{document}