Commit 1c0dac18 by Olivier

### Exercises 8: clarify velocity components, add hint for math

parent 7565b34e
 \renewcommand{\lastedityear}{2018} \renewcommand{\lasteditmonth}{06} \renewcommand{\lasteditday}{05} \renewcommand{\lasteditday}{08} \renewcommand{\numberofthischapter}{8} \renewcommand{\titleofthischapter}{\namechaptereight} \atstartofexercises ... ... @@ -32,13 +32,15 @@ In homogeneous, isotropic, fully-developed turbulence, we accept the following r We imagine a turbulent flow described at some point with the equations (in \si{\metre\per\second}) \begin{IEEEeqnarray}{rCl} V_x &=& 10 + \sin t\\ V_y &=& 0\\ V_z &=& 0 u &=& 10 + \sin t\\ v &=& 0\\ w &=& 0 \end{IEEEeqnarray} (No real turbulent flow can be described by equations this simple — but this is a nice first basis for practice) What are the values of $\overline{u}$, $u'$, $\overline{u'}$, $I_x$, $I$, and $k$? Hint: $\int \sin^2 x \diff x = \frac{1}{2}\left(x + \frac{\sin 2x}{2} \right) + b$ \clearpage \subsubsection{Turbulent channel flow} ... ...
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