Commit 78810ecc by Olivier

### Exercises 10: proof-reading after pruning

parent f70f1f54
 \renewcommand{\lastedityear}{2018} \renewcommand{\lasteditmonth}{06} \renewcommand{\lasteditday}{18} \renewcommand{\lastedityear}{2019} \renewcommand{\lasteditmonth}{04} \renewcommand{\lasteditday}{12} \atstartofexercises \fluidmechexercisestitle ... ... @@ -9,8 +9,8 @@ \mecafluexboxen \begin{boiboite} In boundary layer flow, we accept that transition occurs at $\rex \gtrsim \num{5e5}$. \begin{boiboiboite} In boundary layer flow, we assume that transition occurs at $\rex \gtrsim \num{5e5}$. The wall shear coefficient $c_f$, a function of distance $x$,\\ is defined based on the free-stream flow velocity~$U$: ... ... @@ -22,7 +22,7 @@ Exact solutions to the laminar boundary layer along a smooth surface yield: \begin{align} \frac{\delta}{x} &= \frac{\num{4,91}}{\sqrt{\rex}} &\frac{\delta^*}{x} &= \frac{\num{1,72}}{\sqrt{\rex}} \tag{\ref{eq_deltastar_lam}}\\ \frac{\theta}{x} &= \frac{\num{0,664}}{\sqrt{\rex}} \frac{\delta^{**}}{x} &= \frac{\num{0,664}}{\sqrt{\rex}} &c_{f_{(x)}} &= \frac{\num{0,664}}{\sqrt{\rex}} \tag{\ref{eq_cf_lam}} \end{align} ... ... @@ -30,11 +30,11 @@ Solutions to the turbulent boundary layer along a smooth surface yield the follo \begin{align} \frac{\delta}{x} &\approx \frac{\num{0,16}}{\rex^{\frac{1}{7}}} &\frac{\delta^*}{x} &\approx \frac{\num{0,02}}{\rex^{\frac{1}{7}}} \tag{\ref{eq_deltastar_turb}}\\ \frac{\theta}{x} &\approx \frac{\num{0,016}}{\rex^{\frac{1}{7}}} \frac{\delta^{**}}{x} &\approx \frac{\num{0,016}}{\rex^{\frac{1}{7}}} &c_{f_{(x)}} &\approx \frac{\num{0,027}}{\rex^{\frac{1}{7}}} \tag{\ref{eq_cf_turb}} \end{align} \Cref{fig_viscosities_various_fluids_three} quantifies the viscosity of various fluids as a function of temperature. \end{boiboite} \end{boiboiboite} \begin{figure} \begin{center} ... ...
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