Blasius Solution for the Laminar Boundary Layer Equations

Skin friction Coefficient

$$C_f=\frac{{\tau }_W(x)}{\frac{1}{2}\rho U(x{)}^2}=\frac{0.664}{\sqrt{R{e}_x}}$$

Drag Coefficient

$$c_D=\frac{1.328}{\sqrt{R{e}_x}}$$

Note: ${\tau }_w(x)\to$ Wall shear Stress at distance $x$ from the leading edge, $U(x)\to$ Outer Flow velocity, ${\text{Re}}_x\to$ $\frac{U(x)\cdot x}{\nu }$

Boundary Layer Thickness

$$\frac{\delta }{\sqrt{\nu x/U(x)}}=5.0\Rightarrow \frac{\delta }{x}=\frac{5.0}{\sqrt{{\text{Re}}_x}}$$

Displacement Thickness

$$\frac{{\delta }_1}{x}=\frac{1.72}{\sqrt{{\mathrm{Re}}_x}}$$

Momentum Thickness

$$\frac{{\delta }_2}{x}=\frac{0.664}{\sqrt{{\text{Re}}_x}}$$