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# (Solved): 1. In the flow around an airfoil the following velocity profiles of the boundary layer are obser ...

1. In the flow around an airfoil the following velocity profiles of the boundary layer are observed: a) [1pt.] What type of boundary layer is shown in figure d)? b) [1pt.] Which boundary layer profile corresponds to a laminar boundary layer? Formula sheet Aerodynamics 2 Properties of air Unless otherwise stated the following properties of air may be assumed: Density $$\rho=1.225 \mathrm{~kg} / \mathrm{m}^{3}$$ Viscosity $$\quad \mu=1.82 \times 10^{-5} \mathrm{~kg} / \mathrm{ms}$$ Boundary layer definitions Displacement thickness $$\quad \delta^{*}=\int_{0}^{\delta}\left(1-\frac{V_{y}}{V_{\infty}}\right) \mathrm{d} y$$ Momentum loss thickness $$\quad \theta=\int_{0}^{\delta} \frac{V_{y}}{V_{\infty}}\left(1-\frac{V_{y}}{V_{\infty}}\right) \mathrm{d} y$$ Flat plate boundary layer equations Friction coefficient Laminar $$\quad c_{f}=\frac{1.328}{\sqrt{R e_{x}}}$$ Turbulent $$\quad c_{f}=\frac{0.074}{R e_{x}^{0.2}}$$ Boundary layer growth Laminar $\delta=\frac{5.2 x}{\sqrt{\operatorname{Re}_{x}}}$ Turbulent $$\quad \delta=\frac{0.37 x}{R e_{x}^{0.2}}$$

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